Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.2s (38.4%)

Memory

-98.2MiB live, 1 169.8MiB allocated; 998ms collecting garbage

Samples

601.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-cos: 226.0ms (61.7% of total)

ival-exp: 97.0ms (26.5% of total)

ival-mult!: 42.0ms (11.5% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess31.0ms (1%)

Memory

-22.8MiB live, 23.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	167	32
3	772	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

5 → 18

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im

Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite180.0ms (5.6%)

Memory

-4.7MiB live, 142.5MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	265
0	88	264
1	529	253
0	5026	233

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

23 → 38

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))

Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (.f64 (cos.f64 im) (cosh.f64 re)) (.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(/.f64 (-.f64 (.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)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 im im) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re) (.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im) im) im)))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.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)

eval3.0ms (0.1%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 246 to 132 computations (46.3% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	6	34

Accuracy

100.0%

Counts

34 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	63.0%	(.f64 (exp.f64 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))))
▶	65.4%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	64.9%	#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
▶	53.8%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	52.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 113 to 109 computations (3.5% saved)

series14.0ms (0.4%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

26 → 55

Calls

Call 1

Inputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (exp.f64 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))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 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)
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))

Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#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 (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* 1/2 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1))
2.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1))
2.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1))
2.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1))
2.0ms	re	@	0	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)) (+ (* 1/2 re) 1))

rewrite150.0ms (4.7%)

Memory

13.4MiB live, 152.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1279
0	291	1233
1	1660	1231
0	8227	1190

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

81 → 205

Calls

Call 1

Inputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (exp.f64 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))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 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)
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* re (cos im))))))
#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 (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* 1/2 (* re (cos im)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* re (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* 1/2 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (cos im) re)) (* -1/2 (cos im)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* 1/24 (* (pow im 2) (+ 1 (* 1/2 re))))))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/2 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/24 (+ 1 (* 1/2 re)))))))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) #s(hole binary64 (* (cos im) (+ 1 (* 1/2 re)))))

Outputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.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)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
im
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (exp.f64 re))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) re)) (.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) re))) (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) re))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 im) re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (.f64 (.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) re)))
(+.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) re)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re)
(*.f64 re (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64) (pow.f64 (.f64 re (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re) (-.f64 (.f64 (.f64 re (/.f64 #s(literal 1 binary64) re)) (.f64 re (/.f64 #s(literal 1 binary64) re))) (.f64 (.f64 #s(literal 1/2 binary64) re) (*.f64 re (/.f64 #s(literal 1 binary64) re))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(/.f64 (fma.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (/.f64 #s(literal 1 binary64) re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (/.f64 #s(literal 1 binary64) re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))
(+.f64 (/.f64 (.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))) (/.f64 (.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 re (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (*.f64 (exp.f64 re) (cos.f64 im)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (.f64 (*.f64 re re) (cos.f64 im)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (.f64 re re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (.f64 (.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) re))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re))) (.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (neg.f64 (*.f64 (fma.f64 (cos.f64 im) #s(literal -1/2 binary64) (/.f64 (neg.f64 (cos.f64 im)) re)) re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (.f64 (exp.f64 re) #s(literal -1/2 binary64))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 im im)) (exp.f64 re) (.f64 (exp.f64 re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (exp.f64 re) #s(literal -1/2 binary64))) (.f64 im im) (exp.f64 re)))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (- (* 1/24 (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* im im)) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 im im))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (.f64 im im))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/720 binary64)) (.f64 im im))) (.f64 im im))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 1/24 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/720 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 im im))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (.f64 im im)))) (.f64 (.f64 im im) (.f64 im im))))
#s(approx (- (* 1/24 (* im im)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (+ (* 1/2 re) 1) (cos im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))

eval25.0ms (0.8%)

Memory: -4.5MiB live, 41.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 763 to 1 053 computations (61.9% saved)

prune14.0ms (0.4%)

Memory

-24.8MiB live, 21.4MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	207	13	220
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	210	16	226

Accuracy

100.0%

Counts

226 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	63.0%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
▶	65.8%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	25.0%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
	24.8%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	41.4%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	34.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
	34.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	33.6%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	32.6%	(.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))))
	60.9%	#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re) (cos.f64 im))))
✓	53.8%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	32.1%	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	52.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	38.4%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re))))
▶	53.7%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))

Compiler

Compiled 438 to 406 computations (7.3% saved)

series14.0ms (0.4%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

32 → 52

Calls

Call 1

Inputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #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)
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
(.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (*.f64 im im))
#s(approx (* (exp re) (cos im)) #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))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))
(/.f64 (cos.f64 im) re)
(cos.f64 im)

Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (cos im) re)))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (+ (cos im) (* re (cos im))) 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 (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ (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) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (* im -1/2) #s(hole binary64 (* -1/2 im)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#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) re) (cos im)) re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (/ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (+ (* -1 (* (pow im 2) (* re (+ 1/720 (* 1/720 (/ 1 re)))))) (* re (+ 1/24 (* 1/24 (/ 1 re)))))))))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* -1 (* (pow im 2) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* 1/24 (/ 1 re)))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (+ (* -1 (* (pow im 2) (+ 1/720 (* 1/720 (/ 1 re))))) (* 1/24 (/ 1 re))))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (/ (cos im) re) #s(hole binary64 (/ 1 re)))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* -1/2 (/ (pow im 2) re)) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) re)) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) re)) (* 1/24 (/ 1 re)))) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (+ (* im (* im -1/2)) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* im (* im -1/2)) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* im (* im -1/2)) 1) im (* im -1/2) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im))
3.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* im (* im -1/2)) 1) im (* im -1/2) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im))
2.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* im (* im -1/2)) 1) im (* im -1/2) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im))
2.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* im (* im -1/2)) 1) im (* im -1/2) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im))
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* im (* im -1/2)) 1) im (* im -1/2) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im))

rewrite151.0ms (4.7%)

Memory

-17.3MiB live, 165.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	1292
0	291	1211
1	1587	1196
0	8200	1158

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

84 → 220

Calls

Call 1

Inputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #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)
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
(.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (*.f64 im im))
#s(approx (* (exp re) (cos im)) #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))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))
(/.f64 (cos.f64 im) re)
(cos.f64 im)
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (cos im) re)))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (/ (+ (cos im) (* re (cos im))) 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 (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ (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) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (* im -1/2) #s(hole binary64 (* -1/2 im)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#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) re) (cos im)) re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (/ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (+ (* -1 (* (pow im 2) (* re (+ 1/720 (* 1/720 (/ 1 re)))))) (* re (+ 1/24 (* 1/24 (/ 1 re)))))))))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (/ 1 re))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* -1 (* (pow im 2) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* 1/24 (/ 1 re)))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (+ (/ (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ (* (pow im 2) (- (* (pow im 2) (+ 1/24 (+ (* -1 (* (pow im 2) (+ 1/720 (* 1/720 (/ 1 re))))) (* 1/24 (/ 1 re))))) (+ 1/2 (* 1/2 (/ 1 re))))) (/ 1 re)))))
#s(approx (/ (cos im) re) #s(hole binary64 (/ 1 re)))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* -1/2 (/ (pow im 2) re)) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* 1/24 (/ (pow im 2) re)) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (/ (cos im) re) #s(hole binary64 (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (/ (pow im 2) re)) (* 1/24 (/ 1 re)))) (* 1/2 (/ 1 re)))) (/ 1 re))))
#s(approx (+ (* im (* im -1/2)) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* im (* im -1/2)) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))

Outputs
(.f64 (exp.f64 re) #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))) (exp.f64 re))
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) im) im)
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 im im) im) im))
(.f64 (neg.f64 (neg.f64 (.f64 im im))) (neg.f64 (neg.f64 (*.f64 im im))))
(.f64 (.f64 (*.f64 im im) im) im)
(.f64 (neg.f64 (.f64 im im)) (neg.f64 (*.f64 im im)))
(.f64 (.f64 im im) (*.f64 im im))
(.f64 im (.f64 (*.f64 im im) im))
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (*.f64 im im)) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 2 binary64))
(pow.f64 im #s(literal 4 binary64))
(fabs.f64 (.f64 (.f64 (*.f64 im im) im) im))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 4 binary64))))
#s(approx (* (exp re) (cos im)) #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))
(*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)
(*.f64 re (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (.f64 re (/.f64 (cos.f64 im) re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 re (/.f64 (cos.f64 im) re)) (.f64 re (/.f64 (cos.f64 im) re))) (.f64 (.f64 (cos.f64 im) re) (*.f64 re (/.f64 (cos.f64 im) re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 im) re) re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 (cos.f64 im) re) re) (.f64 (/.f64 (cos.f64 im) re) re)) (.f64 (.f64 (cos.f64 im) re) (*.f64 (/.f64 (cos.f64 im) re) re)))))
(fma.f64 (cos.f64 im) re (*.f64 re (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 (/.f64 (cos.f64 im) re) re))
(fma.f64 re (cos.f64 im) (*.f64 re (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 (/.f64 (cos.f64 im) re) re))
(+.f64 (.f64 (cos.f64 im) re) (.f64 re (/.f64 (cos.f64 im) re)))
(+.f64 (.f64 (cos.f64 im) re) (.f64 (/.f64 (cos.f64 im) re) re))
(/.f64 (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 re re)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))))) (neg.f64 (-.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))))
(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 re re)))) (neg.f64 (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.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 (cos.f64 im) re) (cos.f64 im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)))) (neg.f64 (+.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)))) (.f64 re re)) (.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))))
(/.f64 (-.f64 (/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 re re))) (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (/.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 (cos.f64 im) re) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64))) (+.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)))) (.f64 re re)) (.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))))
(-.f64 (/.f64 (/.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 (cos.f64 im) re) (cos.f64 im))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 re re)) (-.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(+.f64 (/.f64 (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 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 (cos.f64 im) re) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #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 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 (cos.f64 im) re) (cos.f64 im))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (/.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 (cos.f64 im) (/.f64 (cos.f64 im) re))))) (/.f64 (pow.f64 (/.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (/.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 (cos.f64 im) (/.f64 (cos.f64 im) re))))))
(+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))
(/.f64 (neg.f64 (neg.f64 (cos.f64 im))) (neg.f64 (neg.f64 re)))
(/.f64 (neg.f64 (cos.f64 im)) (neg.f64 re))
(/.f64 (cos.f64 im) re)
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (+ (/ (cos im) re) (cos im)) (/.f64 (cos.f64 im) re))
#s(approx (+ (/ (cos im) re) (cos im)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)) re))
#s(approx (* (exp re) (cos im)) (*.f64 (exp.f64 re) (cos.f64 im)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (.f64 (exp.f64 re) #s(literal -1/2 binary64))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 im im)) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (exp.f64 re))) (.f64 im im) (.f64 (exp.f64 re) #s(literal -1/2 binary64))) (.f64 im im) (exp.f64 re)))
#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 im im) (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* im -1/2) (*.f64 #s(literal -1/2 binary64) im))
#s(approx (* im im) (*.f64 im im))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* im im)) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (* (* im im) (* im im)) 1/24) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))
#s(approx (* (* im im) (* im im)) (.f64 (.f64 (*.f64 im im) im) im))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 (fma.f64 (.f64 (.f64 im im) re) (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re))) (.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) re (neg.f64 (.f64 (.f64 (.f64 im im) re) (+.f64 (/.f64 #s(literal 1/720 binary64) re) #s(literal 1/720 binary64))))) (.f64 im im) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re))) (.f64 im im) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)))
#s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (-.f64 (.f64 (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) re) #s(literal 1/720 binary64)) (.f64 im im))) (/.f64 #s(literal 1/24 binary64) re)) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)))
#s(approx (/ (cos im) re) (/.f64 #s(literal 1 binary64) re))
#s(approx (/ (cos im) re) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) re))
#s(approx (/ (cos im) re) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) re) (*.f64 im im) (/.f64 #s(literal 1 binary64) re)))
#s(approx (/ (cos im) re) (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) re) (.f64 im im)) (/.f64 #s(literal 1/2 binary64) re)) (.f64 im im) (/.f64 #s(literal 1 binary64) re)))
#s(approx (+ (* im (* im -1/2)) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* im (* im -1/2)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 (*.f64 im im) im) im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (.f64 im im)))) (.f64 (.f64 (.f64 im im) im) im)))
#s(approx (- (* 1/24 (* im im)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))

eval29.0ms (0.9%)

Memory: -9.7MiB live, 42.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 789 to 1 123 computations (59.7% saved)

prune13.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	212	9	221
Fresh	3	5	8
Picked	2	3	5
Done	0	3	3
Total	217	20	237

Accuracy

100.0%

Counts

237 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	65.8%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	24.8%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	41.4%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.2%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
	34.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	12.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
✓	32.6%	(.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))))
	34.0%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	32.6%	(.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))))
✓	53.8%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	32.1%	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	52.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	38.4%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re))))
	27.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 (/.f64 (-.f64 (/.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 #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))) re)))
✓	53.7%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
	32.3%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
	34.7%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))
▶	32.4%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
▶	34.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))

Compiler

Compiled 619 to 563 computations (9% saved)

series70.0ms (2.2%)

Memory

4.6MiB live, 95.3MiB allocated; 8ms collecting garbage

Counts

41 → 72

Calls

Call 1

Inputs
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
#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 (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
(.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (*.f64 im im))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
(+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) re)
(+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 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))))
#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 (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (- 1 (* 1/2 (pow im 2)))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (- (+ 1 (* re (- 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (- (* -1/2 (* (pow im 2) re)) (* 1/2 (pow im 2)))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (+ (* 1/2 (* (pow im 2) re)) (* 1/2 (pow im 2)))))
#s(approx (* (* im im) re) #s(hole binary64 (* (pow im 2) re)))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 (/ 1/2 re)))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 re)) re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (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 (+ (* 1 re) 1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* re (- 1 (* 1/2 (pow im 2))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* re (- (+ 1 (/ 1 re)) (+ (* 1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2)))))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1/2 (* (pow im 2) re))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* re (- (* -1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2))))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* 1/2 (* (pow im 2) re))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* re (+ (* 1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2))))))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* re (+ 1 (* -1/2 (pow im 2))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* -1 (* re (- (* -1 (/ (- 1 (* 1/2 (pow im 2))) re)) (+ 1 (* -1/2 (pow im 2))))))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1 (* re (- (* 1/2 (/ (pow im 2) re)) (* -1/2 (pow im 2)))))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* -1 (* re (+ (* -1/2 (/ (pow im 2) re)) (* -1/2 (pow im 2)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* im 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 (* -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) re) (cos im)) re) #s(hole binary64 (+ (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (/ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (+ (* -1 (* (pow im 2) (* re (+ 1/720 (* 1/720 (/ 1 re)))))) (* re (+ 1/24 (* 1/24 (/ 1 re)))))))))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (+ 1 (+ re (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re))))))))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re))))))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))))
#s(approx (* (log im) 2) #s(hole binary64 (* 2 (log im))))
#s(approx (log im) #s(hole binary64 (log im)))
#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 (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* (pow im 2) (- (+ (/ 1 (pow im 2)) (/ re (pow im 2))) (* re (+ 1/2 (* 1/2 (/ 1 re))))))))
#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:

Time	Variable		Point	Expression
32.0ms	im	@	0	((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (* 1 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) 1/24 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (* (* im im) re) (+ (/ 1/2 re) 1/2) (/ 1/2 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)
14.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (* 1 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) 1/24 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (* (* im im) re) (+ (/ 1/2 re) 1/2) (/ 1/2 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)
12.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (* 1 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) 1/24 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (* (* im im) re) (+ (/ 1/2 re) 1/2) (/ 1/2 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)
5.0ms	re	@	0	((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (* 1 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) 1/24 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (* (* im im) re) (+ (/ 1/2 re) 1/2) (/ 1/2 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) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (* 1 re) 1) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* (* im im) (* im im)) 1/24) (* (* im im) (* im im)) 1/24 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (* (* im im) re) (+ (/ 1/2 re) 1/2) (/ 1/2 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)

rewrite188.0ms (5.9%)

Memory

25.7MiB live, 203.4MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	1879
0	361	1739
1	1913	1724
0	9180	1672

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

113 → 370

Calls

Call 1

Inputs
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
#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 (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
(.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (*.f64 im im))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))
(+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) re)
(+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 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))))
#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 (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (- 1 (* 1/2 (pow im 2)))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (- (+ 1 (* re (- 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (- (* -1/2 (* (pow im 2) re)) (* 1/2 (pow im 2)))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (+ (* 1/2 (* (pow im 2) re)) (* 1/2 (pow im 2)))))
#s(approx (* (* im im) re) #s(hole binary64 (* (pow im 2) re)))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 (/ 1/2 re)))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 re)) re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (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 (+ (* 1 re) 1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* re (- 1 (* 1/2 (pow im 2))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* re (- (+ 1 (/ 1 re)) (+ (* 1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2)))))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1/2 (* (pow im 2) re))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* re (- (* -1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2))))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* 1/2 (* (pow im 2) re))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* re (+ (* 1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2))))))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 re) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* re (+ 1 (* -1/2 (pow im 2))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* -1 (* re (- (* -1 (/ (- 1 (* 1/2 (pow im 2))) re)) (+ 1 (* -1/2 (pow im 2))))))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1 (* re (- (* 1/2 (/ (pow im 2) re)) (* -1/2 (pow im 2)))))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* -1 (* re (+ (* -1/2 (/ (pow im 2) re)) (* -1/2 (pow im 2)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* im 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 (* -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) re) (cos im)) re) #s(hole binary64 (+ (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))) (* re (+ 1 (/ 1 re))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (* re (+ 1/24 (* 1/24 (/ 1 re))))))))))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(hole binary64 (+ (* re (+ 1 (/ 1 re))) (* (pow im 2) (+ (* -1 (* re (+ 1/2 (* 1/2 (/ 1 re))))) (* (pow im 2) (+ (* -1 (* (pow im 2) (* re (+ 1/720 (* 1/720 (/ 1 re)))))) (* re (+ 1/24 (* 1/24 (/ 1 re)))))))))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (+ 1 (+ re (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re))))))))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) #s(hole binary64 (* -1 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re))))))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) #s(hole binary64 (* (pow im 2) (* re (+ 1/2 (* 1/2 (/ 1 re)))))))
#s(approx (* (log im) 2) #s(hole binary64 (* 2 (log im))))
#s(approx (log im) #s(hole binary64 (log im)))
#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 (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) #s(hole binary64 (* (pow im 2) (- (+ (/ 1 (pow im 2)) (/ re (pow im 2))) (* re (+ 1/2 (* 1/2 (/ 1 re))))))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64)) (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))
(sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im))
(fabs.f64 (neg.f64 (*.f64 im im)))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (fma.f64 im im (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (*.f64 im im))) #s(literal 2 binary64)))
(*.f64 (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 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 im) (log.f64 im) (-.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 (log.f64 im) (log.f64 im)))))
(fma.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64) (log.f64 im))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (log.f64 im))
(+.f64 (log.f64 (fabs.f64 im)) (log.f64 (fabs.f64 im)))
(+.f64 (log.f64 (neg.f64 im)) (log.f64 (neg.f64 im)))
(+.f64 (log.f64 im) (log.f64 im))
(log.f64 (*.f64 im im))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
#s(literal 2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (-.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (*.f64 im im) #s(literal 1/2 binary64))))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (fma.f64 (.f64 (.f64 im im) re) #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (.f64 (.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 im im) re (*.f64 im im))))
#s(approx (* (* im im) re) (.f64 (.f64 im im) re))
#s(approx (+ (/ 1/2 re) 1/2) (/.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (/ 1/2 re) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1/2 binary64)) re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (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) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 im im) re) (.f64 im im)))) re))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (.f64 (.f64 (*.f64 im im) re) #s(literal -1/2 binary64)))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 im im) re) (.f64 im im))) re))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 im im) re) (.f64 im im))) re))
#s(approx (+ (/ 1/2 re) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1/2 re) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 im im) re) (.f64 im im))) re)))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 im im) re) (.f64 im im))) re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 im im)) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (exp.f64 re))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) re) (.f64 im im) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) re) #s(literal 1/24 binary64)) re (neg.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) re) #s(literal 1/720 binary64)) re) (.f64 im im)))) (.f64 im im) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re))) (.f64 im im) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (* (* im im) (* im im)) 1/24) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))
#s(approx (* (* im im) (* im im)) (.f64 (.f64 (*.f64 im im) im) im))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))
#s(approx (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (.f64 (neg.f64 (.f64 (*.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64))))
#s(approx (* (* (* im im) re) (+ (/ 1/2 re) 1/2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) (*.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 (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 (*.f64 im im) im) im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (.f64 im im)))) (.f64 (.f64 (.f64 im im) im) im)))
#s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (.f64 im im)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re)) (.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 (* (log im) 2) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))))
#s(approx (log im) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) im)) #s(literal -1 binary64))))

eval58.0ms (1.8%)

Memory: -40.5MiB live, 62.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 4 507 to 1 965 computations (56.4% saved)

prune21.0ms (0.7%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms collecting garbage

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	323	11	334
Fresh	3	6	9
Picked	3	2	5
Done	1	5	6
Total	330	24	354

Accuracy

100.0%

Counts

354 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	65.8%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	24.8%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	41.4%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	12.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
	12.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
	14.6%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	14.4%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	34.0%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.6%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	53.8%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	32.1%	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	52.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	38.4%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re))))
	27.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 (/.f64 (-.f64 (/.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 #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))) re)))
✓	53.7%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
	32.3%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
	36.4%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))))
	40.0%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
	34.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
	34.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 im (*.f64 im re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
	32.4%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
	32.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	7.9%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re)))))

Compiler

Compiled 829 to 649 computations (21.7% saved)

regimes84.0ms (2.6%)

Memory

-16.4MiB live, 73.8MiB allocated; 8ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) 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)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 im (*.f64 im re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #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 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 (exp.f64 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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
#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)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (/.f64 (cos.f64 im) re))) (*.f64 re re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 (/.f64 (-.f64 (/.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 #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))) re)))
#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re) (cos.f64 im))))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))

Calls

5 calls:

42.0ms	re
14.0ms	(cos.f64 im)
10.0ms	im
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`(cos.f64 im)`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes44.0ms (1.4%)

Memory

33.5MiB live, 76.4MiB allocated; 5ms collecting garbage

Counts

33 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) 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)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 im (*.f64 im re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #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 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 (exp.f64 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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))

Outputs
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))

Calls

5 calls:

10.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms	im
9.0ms	re
8.0ms	(cos.f64 im)
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
78.2%	2	`(cos.f64 im)`
89.0%	3	`(exp.f64 re)`
94.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
89.0%	3	`re`
80.0%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.4%)

Memory

-40.0MiB live, 16.0MiB allocated; 6ms collecting garbage

Counts

31 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) 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)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 im (*.f64 im re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #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 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 (exp.f64 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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))

Outputs
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))

Calls

1 calls:

10.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
93.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes39.0ms (1.2%)

Memory

17.7MiB live, 64.0MiB allocated; 3ms collecting garbage

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) 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)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 im (*.f64 im re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #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 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 (exp.f64 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))))

Outputs

(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))

(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))

Calls

5 calls:

9.0ms	im
8.0ms	re
7.0ms	(cos.f64 im)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
70.5%	2	`(cos.f64 im)`
65.8%	1	`im`
65.8%	1	`(exp.f64 re)`
65.8%	1	`re`
73.3%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes17.0ms (0.5%)

Memory

-20.3MiB live, 25.5MiB allocated; 3ms collecting garbage

Counts

28 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) 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)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 im (*.f64 im re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))

(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/24 binary64)))))

(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.5%	3	`(cos.f64 im)`
65.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes13.0ms (0.4%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) 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)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 im (*.f64 im re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))

Outputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Calls

2 calls:

6.0ms	(cos.f64 im)
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
65.8%	1	`(exp.f64 re)`
65.8%	1	`(cos.f64 im)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes37.0ms (1.2%)

Memory

-17.7MiB live, 28.9MiB allocated; 2ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) 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)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 im im) re)) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))))

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))

Calls

5 calls:

5.0ms	im
5.0ms	re
5.0ms	(cos.f64 im)
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
46.6%	2	`im`
48.3%	2	`(cos.f64 im)`
63.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
62.3%	3	`re`
59.9%	3	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.4%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))))

Outputs

(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))

Calls

3 calls:

4.0ms	re
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
49.4%	3	`(exp.f64 re)`
51.8%	3	`re`
51.9%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.4%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 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)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))

Calls

5 calls:

3.0ms	im
3.0ms	re
3.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
40.0%	1	`im`
43.6%	2	`(exp.f64 re)`
46.1%	2	`(cos.f64 im)`
43.6%	2	`re`
46.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))

Calls

2 calls:

2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
45.0%	2	`(cos.f64 im)`
45.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))

Outputs

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re)))))

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))))

Calls

2 calls:

2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
44.9%	2	`(cos.f64 im)`
44.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes20.0ms (0.6%)

Memory

-28.2MiB live, 21.1MiB allocated; 7ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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))))

Outputs

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re)))))

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))

Calls

5 calls:

11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	im
2.0ms	re
2.0ms	(cos.f64 im)
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
35.1%	2	`im`
36.9%	2	`(exp.f64 re)`
36.9%	2	`re`
37.3%	2	`(cos.f64 im)`
37.3%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))

Outputs

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) #s(approx (+ (neg (* (* (* im im) re) (+ (/ 1/2 re) 1/2))) (+ (* 1 re) 1)) (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)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))

Calls

4 calls:

2.0ms	re
2.0ms	(cos.f64 im)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
34.7%	2	`(exp.f64 re)`
34.7%	2	`re`
35.5%	2	`(cos.f64 im)`
35.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes9.0ms (0.3%)

Memory

-31.2MiB live, 13.6MiB allocated; 4ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 re #s(literal 1 binary64)))))

#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))))

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 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

Accuracy	Segments	Branch
32.4%	1	`(exp.f64 re)`
32.4%	1	`re`
32.4%	1	`im`
32.4%	1	`(cos.f64 im)`
32.4%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988622371733984	1.0
0.0ms	0.0	0.005763949059990158
0.0ms	-0.0225833545201145	0.0
0.0ms	-inf	-0.999958790729401

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988622371733984	1.0
0.0ms	0.0	0.005763949059990158
0.0ms	-0.0225833545201145	0.0
0.0ms	-inf	-0.999958790729401

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9988622371733984	1.0
0.0ms	0.0	0.005763949059990158

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9988622371733984	1.0
0.0ms	-0.0225833545201145	0.005763949059990158

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.005763949059990158

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.005763949059990158
0.0ms	-0.0225833545201145	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0225833545201145	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0225833545201145	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0225833545201145	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0225833545201145	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.005763949059990158

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations480.0ms (15%)

Memory

9.1MiB live, 430.4MiB allocated; 81ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 210 to 129 computations (38.6% saved)

preprocess205.0ms (6.4%)

Memory: 0.8MiB live, 190.8MiB allocated; 23ms collecting garbage
Remove: (abs im)
Compiler: Compiled 1 341 to 1 118 computations (16.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (38.4%)

preprocess31.0ms (1%)

series4.0ms (0.1%)

rewrite180.0ms (5.6%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

series14.0ms (0.4%)

rewrite150.0ms (4.7%)

eval25.0ms (0.8%)

prune14.0ms (0.4%)

series14.0ms (0.4%)

rewrite151.0ms (4.7%)

eval29.0ms (0.9%)

prune13.0ms (0.4%)

series70.0ms (2.2%)

rewrite188.0ms (5.9%)

eval58.0ms (1.8%)

prune21.0ms (0.7%)

regimes84.0ms (2.6%)

regimes44.0ms (1.4%)

regimes12.0ms (0.4%)

regimes39.0ms (1.2%)

regimes17.0ms (0.5%)

regimes13.0ms (0.4%)

regimes37.0ms (1.2%)

regimes12.0ms (0.4%)

regimes14.0ms (0.4%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes20.0ms (0.6%)

regimes7.0ms (0.2%)

regimes9.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations480.0ms (15%)

preprocess205.0ms (6.4%)

end0.0ms (0%)

Profiling