math.exp on complex, real part

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample788.0ms (32.5%)

Memory
44.0MiB live, 760.6MiB allocated; 142ms collecting garbage
Samples
557.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-cos: 247.0ms (68.1% of total)
ival-exp: 73.0ms (20.1% of total)
ival-mult!: 41.0ms (11.3% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess41.0ms (1.7%)

Memory
-14.9MiB live, 26.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01634
15134
216732
376932
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
5 → 21
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 (cos im)))
Calls

6 calls:

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

rewrite163.0ms (6.7%)

Memory
12.7MiB live, 112.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval6.0ms (0.2%)

Memory
-38.9MiB live, 7.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 258 to 137 computations (46.9% saved)

prune3.0ms (0.1%)

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done000
Total31637
Accuracy
100.0%
Counts
37 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
65.1%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
65.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
52.1%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
70.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 93 to 93 computations (0% saved)

series8.0ms (0.3%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
21 → 50
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 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)
(*.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)
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 (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp 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))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (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)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#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 (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Calls

6 calls:

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

rewrite201.0ms (8.3%)

Memory
5.6MiB live, 247.8MiB allocated; 92ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181780
0194754
11014727
08923706
Stop Event
iter-limit
node-limit
iter-limit
Counts
71 → 248
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 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)
(*.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)
#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 (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp 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))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (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)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#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 (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Outputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 re) (*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 re)) (*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 re)))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 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)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 im)) (fabs.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im 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) (*.f64 im im)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 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 (neg.f64 im) im) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (*.f64 im #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 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)) (fma.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 (*.f64 (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (fabs.f64 im) #s(literal -1 binary64)) (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 im) #s(literal -1 binary64)) (*.f64 (neg.f64 im) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (*.f64 im #s(literal -1 binary64)) (*.f64 im #s(literal -1 binary64)))
(*.f64 (*.f64 im #s(literal 1 binary64)) (*.f64 im #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 im)) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)) (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal -1 binary64) im))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 #s(literal 1 binary64) (fabs.f64 im)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 im)) (fabs.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1 binary64) im))
(*.f64 (*.f64 #s(literal 1 binary64) im) im)
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (*.f64 im im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 im im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 im im) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 im im)))
(neg.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 im)))
(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)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re) re) (+.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re) re (*.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))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 re re) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re) re))) (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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re) re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re) re)) (-.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re) re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) re)))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (cos.f64 im) re))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
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#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) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (fma.f64 (*.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) im) im (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))) im) im (-.f64 re #s(literal -1 binary64))))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))

eval26.0ms (1.1%)

Memory
5.2MiB live, 51.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 151 to 1 036 computations (51.8% saved)

prune12.0ms (0.5%)

Memory
-35.8MiB live, 20.4MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New2465251
Fresh000
Picked145
Done011
Total24710257
Accuracy
100.0%
Counts
257 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
29.1%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
65.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
33.2%
(*.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))))
29.5%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
52.1%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
70.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
29.8%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
29.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 161 to 157 computations (2.5% saved)

series7.0ms (0.3%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
21 → 41
Calls
Call 1
Inputs
(*.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))
re
#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)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(exp.f64 re)
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
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 -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 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 (* (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)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#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 (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Calls

6 calls:

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

rewrite194.0ms (8%)

Memory
-12.3MiB live, 177.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160708
0172692
1907669
08551645
Stop Event
iter-limit
node-limit
iter-limit
Counts
62 → 180
Calls
Call 1
Inputs
(*.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))
re
#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)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(exp.f64 re)
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
#s(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 -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 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 (* (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)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#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 (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
Outputs
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)
(*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))
(/.f64 (fma.f64 re re #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 (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) 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) re))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(-.f64 re (*.f64 (neg.f64 re) (/.f64 #s(literal 1 binary64) re)))
(-.f64 re (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re)) re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))) (/.f64 (*.f64 (*.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
re
#s(literal -1 binary64)
#s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 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)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 im)) (fabs.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im 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) (*.f64 im im)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 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 (neg.f64 im) im) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (*.f64 im #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 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)) (fma.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 (*.f64 (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 im) #s(literal -1 binary64)) (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 im) #s(literal -1 binary64)) (*.f64 (neg.f64 im) #s(literal -1 binary64)))
(*.f64 (*.f64 im #s(literal 1 binary64)) (*.f64 im #s(literal 1 binary64)))
(*.f64 (*.f64 im #s(literal -1 binary64)) (*.f64 im #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 #s(literal 1 binary64) (fabs.f64 im)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 im)) (fabs.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1 binary64) im))
(*.f64 (*.f64 #s(literal 1 binary64) im) im)
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 im)) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)) (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal -1 binary64) im))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (*.f64 im im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 im im))
(*.f64 im (*.f64 im #s(literal 1 binary64)))
(*.f64 im im)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 im im)))
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 im im) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 im im)))
(neg.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))))
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(approx (exp re) #s(literal 1 binary64)))
(*.f64 #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(fma.f64 (cosh.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (*.f64 (sinh.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(fma.f64 #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (cosh.f64 re) (*.f64 #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))) (*.f64 (sinh.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (cosh.f64 re)) (*.f64 #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))) (sinh.f64 re)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 im)) (fabs.f64 im))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/2 binary64) im) im)
(*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 im #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 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 #s(literal -1/2 binary64) (*.f64 im im))
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im 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 -1) #s(literal 1 binary64))
#s(approx (- re -1) (-.f64 re #s(literal -1 binary64)))
#s(approx re re)
#s(approx (* (cos im) (- re -1)) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (- re -1) re)
#s(approx (- re -1) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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 #s(literal -1/2 binary64) im) im #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) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (fma.f64 (*.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) im) im (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))) im) im (-.f64 re #s(literal -1 binary64))))
#s(approx (* (* im im) -1/2) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))

eval44.0ms (1.8%)

Memory
3.3MiB live, 47.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 377 to 975 computations (59% saved)

prune11.0ms (0.5%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New2965301
Fresh000
Picked145
Done055
Total29714311
Accuracy
100.0%
Counts
311 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
29.1%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
65.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
33.1%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
7.9%
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.5%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.5%
(*.f64 #s(approx (exp 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))))
52.1%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
70.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
29.8%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
29.8%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
3.4%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
29.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 231 to 223 computations (3.5% saved)

series88.0ms (3.6%)

Memory
-0.4MiB live, 90.8MiB allocated; 11ms collecting garbage
Counts
28 → 60
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)
(-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))
(/.f64 #s(literal 1 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)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re))
#s(approx (- re -1) re)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(approx (- re -1) re))
(*.f64 #s(approx (exp 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) #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 (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 re) -1) re) #s(hole binary64 1))
#s(approx (* (- (/ 1 re) -1) re) #s(hole binary64 (+ 1 re)))
#s(approx (- (/ 1 re) -1) #s(hole binary64 (/ 1 re)))
#s(approx (- (/ 1 re) -1) #s(hole binary64 (/ (+ 1 re) re)))
#s(approx (/ 1 re) #s(hole binary64 (/ 1 re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (- (/ 1 re) -1) re) #s(hole binary64 re))
#s(approx (* (- (/ 1 re) -1) re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (- (/ 1 re) -1) #s(hole binary64 1))
#s(approx (- (/ 1 re) -1) #s(hole binary64 (+ 1 (/ 1 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))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#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)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#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 (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (exp (* (log im) 2)) #s(hole binary64 (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) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (log im) 2) #s(hole binary64 (* -2 (log (/ 1 im)))))
#s(approx (log im) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (* (log im) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 im)))))))
#s(approx (log im) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 im))))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
im
@0
((* (exp re) (cos im)) (exp re) (* (- (/ 1 re) -1) re) (- (/ 1 re) -1) (/ 1 re) 1 re -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
35.0ms
im
@-inf
((* (exp re) (cos im)) (exp re) (* (- (/ 1 re) -1) re) (- (/ 1 re) -1) (/ 1 re) 1 re -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
8.0ms
im
@inf
((* (exp re) (cos im)) (exp re) (* (- (/ 1 re) -1) re) (- (/ 1 re) -1) (/ 1 re) 1 re -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
3.0ms
re
@-inf
((* (exp re) (cos im)) (exp re) (* (- (/ 1 re) -1) re) (- (/ 1 re) -1) (/ 1 re) 1 re -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
1.0ms
re
@inf
((* (exp re) (cos im)) (exp re) (* (- (/ 1 re) -1) re) (- (/ 1 re) -1) (/ 1 re) 1 re -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)

rewrite180.0ms (7.4%)

Memory
3.7MiB live, 193.1MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0204977
0223944
11033866
08866841
Stop Event
iter-limit
node-limit
iter-limit
Counts
88 → 320
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)
(-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))
(/.f64 #s(literal 1 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)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re))
#s(approx (- re -1) re)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(approx (- re -1) re))
(*.f64 #s(approx (exp 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) #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 (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 re) -1) re) #s(hole binary64 1))
#s(approx (* (- (/ 1 re) -1) re) #s(hole binary64 (+ 1 re)))
#s(approx (- (/ 1 re) -1) #s(hole binary64 (/ 1 re)))
#s(approx (- (/ 1 re) -1) #s(hole binary64 (/ (+ 1 re) re)))
#s(approx (/ 1 re) #s(hole binary64 (/ 1 re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (- (/ 1 re) -1) re) #s(hole binary64 re))
#s(approx (* (- (/ 1 re) -1) re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (- (/ 1 re) -1) #s(hole binary64 1))
#s(approx (- (/ 1 re) -1) #s(hole binary64 (+ 1 (/ 1 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))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#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)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#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 (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (exp (* (log im) 2)) #s(hole binary64 (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) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (exp (* (log im) 2)) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (log im) 2) #s(hole binary64 (* -2 (log (/ 1 im)))))
#s(approx (log im) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (* (log im) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 im)))))))
#s(approx (log im) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 im))))))
Outputs
(*.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 re #s(literal -1 binary64)) re) re)
(*.f64 re (/.f64 (-.f64 re #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) re)))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))
(/.f64 (fma.f64 re re #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 (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) 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) re))) (/.f64 #s(literal -1 binary64) (fma.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 re (*.f64 (neg.f64 re) (/.f64 #s(literal 1 binary64) re)))
(-.f64 re (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re)) re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))) (/.f64 (*.f64 (*.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
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(*.f64 (*.f64 im #s(literal 1 binary64)) (*.f64 im #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (*.f64 im im) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 #s(literal 1 binary64) (*.f64 im im))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 im))
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(fma.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64))))
(fabs.f64 (*.f64 im im))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
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(+.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 (neg.f64 (log.f64 im)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 im)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 im))
(/.f64 (-.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 im) (log.f64 im)))
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(fma.f64 (log.f64 im) #s(literal 1 binary64) (*.f64 (log.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (log.f64 im))
(fma.f64 #s(literal 1 binary64) (log.f64 im) (*.f64 #s(literal 1 binary64) (log.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (*.f64 #s(literal 1 binary64) (log.f64 im)))
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(+.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 (*.f64 (neg.f64 (log.f64 im)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im))))
(neg.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)))
(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 (*.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 (* (- (/ 1 re) -1) re) #s(literal 1 binary64))
#s(approx (* (- (/ 1 re) -1) re) (-.f64 re #s(literal -1 binary64)))
#s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re))
#s(approx (- (/ 1 re) -1) (/.f64 (-.f64 re #s(literal -1 binary64)) re))
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx re re)
#s(approx (* (cos im) (- re -1)) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (- (/ 1 re) -1) re) #s(literal 1 binary64))
#s(approx (* (- (/ 1 re) -1) re) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (- (/ 1 re) -1) re) re)
#s(approx (* (- (/ 1 re) -1) re) (-.f64 re #s(literal -1 binary64)))
#s(approx (- (/ 1 re) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 re) -1) (/.f64 (-.f64 re #s(literal -1 binary64)) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (* (- (/ 1 re) -1) re) re)
#s(approx (* (- (/ 1 re) -1) re) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 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) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
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#s(approx (* (cos im) (- re -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (fma.f64 (*.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) im) im (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))) im) im (-.f64 re #s(literal -1 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (log im) 2) (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(approx (log im) (log.f64 im))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) (-.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) im) im))
#s(approx (* (log im) 2) (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(approx (log im) (log.f64 im))
#s(approx (* (log im) 2) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 im))) #s(literal 0 binary64)))
#s(approx (log im) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) im)) #s(literal -1 binary64))))

eval45.0ms (1.9%)

Memory
6.3MiB live, 62.9MiB allocated; 20ms collecting garbage
Compiler

Compiled 3 134 to 1 255 computations (60% saved)

prune20.0ms (0.8%)

Memory
-15.6MiB live, 31.1MiB allocated; 4ms collecting garbage
Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New3499358
Fresh000
Picked325
Done099
Total35220372
Accuracy
100.0%
Counts
372 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
29.1%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
65.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
29.5%
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- (/ 1 re) -1) (/.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))))
7.9%
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
7.4%
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
8.5%
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
7.9%
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #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))))
14.7%
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
29.5%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
29.5%
(*.f64 #s(approx (exp 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))))
52.1%
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
70.2%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
51.1%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
29.8%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
15.9%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)))
13.4%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64))) #s(literal -1 binary64)) re)))
29.3%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
3.4%
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
29.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Compiler

Compiled 431 to 372 computations (13.7% saved)

regimes35.0ms (1.5%)

Memory
11.1MiB live, 57.5MiB allocated; 5ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- (/ 1 re) -1) (/.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 (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) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64))) #s(literal -1 binary64)) re)))
(*.f64 #s(approx (exp 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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #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))))
(*.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))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms
im
7.0ms
re
6.0ms
(cos.f64 im)
5.0ms
(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)

regimes35.0ms (1.5%)

Memory
14.3MiB live, 60.2MiB allocated; 5ms collecting garbage
Counts
24 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- (/ 1 re) -1) (/.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 (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) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64))) #s(literal -1 binary64)) re)))
(*.f64 #s(approx (exp 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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #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))))
(*.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))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

11.0ms
re
7.0ms
im
6.0ms
(cos.f64 im)
6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
85.6%2(cos.f64 im)
93.0%3(exp.f64 re)
99.4%5(*.f64 (exp.f64 re) (cos.f64 im))
96.6%4re
84.2%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.5%)

Memory
-31.6MiB live, 19.5MiB allocated; 8ms collecting garbage
Counts
23 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- (/ 1 re) -1) (/.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 (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) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64))) #s(literal -1 binary64)) re)))
(*.f64 #s(approx (exp 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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #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))))
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))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.3%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
22 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- (/ 1 re) -1) (/.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 (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) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64))) #s(literal -1 binary64)) re)))
(*.f64 #s(approx (exp 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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #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))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.0%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes29.0ms (1.2%)

Memory
-17.3MiB live, 77.2MiB allocated; 2ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- (/ 1 re) -1) (/.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 (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) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64))) #s(literal -1 binary64)) re)))
(*.f64 #s(approx (exp 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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #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))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #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)) (exp.f64 re))
Calls

5 calls:

7.0ms
re
6.0ms
im
6.0ms
(cos.f64 im)
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
70.2%1im
76.0%2(cos.f64 im)
70.2%1(exp.f64 re)
70.2%1re
78.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.3%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (/.f64 (+.f64 re (*.f64 re re)) (*.f64 re re)) re)))
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- (/ 1 re) -1) (/.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) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

2 calls:

4.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
73.0%2(cos.f64 im)
75.7%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
75.6%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.5%)

Memory
-13.5MiB live, 33.8MiB allocated; 1ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (- re -1) 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) (- re -1)) (-.f64 re #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
re
2.0ms
im
2.0ms
(cos.f64 im)
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
33.5%2im
41.5%3(exp.f64 re)
41.5%3re
35.2%2(cos.f64 im)
42.5%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.4%)

Memory
-28.6MiB live, 21.1MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (- (/ 1 re) -1) (/.f64 #s(literal 1 binary64) re)) re)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
(cos.f64 im)
2.0ms
re
2.0ms
im
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.8%1im
29.8%1(cos.f64 im)
29.8%1(exp.f64 re)
29.8%1re
29.8%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Accuracy

Total -17.1b remaining (-37.9%)

Threshold costs -17.1b (-37.9%)

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

5 calls:

1.0ms
re
1.0ms
im
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.4%1(exp.f64 re)
29.4%1(*.f64 (exp.f64 re) (cos.f64 im))
29.4%1re
29.4%1(cos.f64 im)
29.4%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9929616076697083
0.9995724137485984
0.0ms
-0.0
0.011715616174430845
0.0ms
-0.005894556065514012
0.0
0.0ms
-inf
-0.9998449433297235
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9929616076697083
0.9995724137485984
0.0ms
-0.0
0.011715616174430845
0.0ms
-0.005894556065514012
0.0
0.0ms
-inf
-0.9998449433297235
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9929616076697083
0.9995724137485984
0.0ms
-0.0
0.011715616174430845
0.0ms
-0.005894556065514012
0.0
0.0ms
-inf
-0.9998449433297235
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
-0.005894556065514012
0.0
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
-0.005894556065514012
0.0
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
-0.005894556065514012
0.0
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
-0.0
0.011715616174430845
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations263.0ms (10.9%)

Memory
0.2MiB live, 270.5MiB allocated; 26ms collecting garbage
Stop Event
fuel
Compiler

Compiled 118 to 69 computations (41.5% saved)

preprocess158.0ms (6.5%)

Memory
53.6MiB live, 220.8MiB allocated; 92ms collecting garbage
Remove

(abs im)

Compiler

Compiled 649 to 542 computations (16.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...