Metrics for math.exp on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample975.0ms (28.5%)

Memory

-28.8MiB live, 947.6MiB allocated; 224ms collecting garbage

Samples

751.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-cos: 227.0ms (52.3% of total)

ival-exp: 152.0ms (35% of total)

ival-mult!: 53.0ms (12.2% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess48.0ms (1.4%)

Memory

-18.1MiB live, 36.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	167	32
3	773	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

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

5 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite150.0ms (4.4%)

Memory

16.6MiB live, 201.0MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	265
0	88	264
1	529	253
0	5022	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)

eval4.0ms (0.1%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 246 to 132 computations (46.3% saved)

prune4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Accuracy

100.0%

Counts

34 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	57.6%	(.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))))
▶	61.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	65.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	50.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	50.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 123 to 119 computations (3.3% saved)

series23.0ms (0.7%)

Memory

4.1MiB live, 49.2MiB allocated; 7ms collecting garbage

Counts

26 → 56

Calls

Call 1

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

Outputs
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (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 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp 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) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (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 (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (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 (* 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 (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* im im) -1/2) 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))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	re	@	inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* 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)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
4.0ms	re	@	-inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* 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)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
4.0ms	im	@	inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* 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)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms	im	@	-inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* 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)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms	im	@	0	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* 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)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite249.0ms (7.3%)

Memory

-33.8MiB live, 309.2MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	1408
0	329	1286
1	1977	1216
0	9475	1150

Stop Event

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

Counts

82 → 186

Calls

Call 1

Inputs
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(cosh.f64 re)
re
(cos.f64 im)
im
(*.f64 (sinh.f64 re) (cos.f64 im))
(sinh.f64 re)
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#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))
#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 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (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 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp 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) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (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 (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (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 (* 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 (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* im im) -1/2) 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))))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.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) (sinh.f64 re) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))) (/.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))) (/.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))))
(+.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
re
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
(*.f64 (sinh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (sinh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(.f64 (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)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #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)))))))
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(/.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))))
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#s(literal -1 binary64)
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#s(approx re re)
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#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
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#s(approx (- re -1) (fma.f64 #s(literal 1 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 (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im))) (.f64 im im))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal -1/1440 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im))) (.f64 im im))) (*.f64 im im))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (sinh re) (cos im)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 #s(literal 1/48 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#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) (exp.f64 re)) #s(literal 1/24 binary64) (.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 (.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (.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 (* 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 (* (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 (+ (* (* 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)))

eval37.0ms (1.1%)

Memory: -5.3MiB live, 40.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 376 to 889 computations (62.6% saved)

prune11.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	195	9	204
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	196	15	211

Accuracy

100.0%

Counts

211 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	57.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	61.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	26.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
	24.4%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	65.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	40.2%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	30.8%	(.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))))
▶	31.4%	(.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))))
	29.6%	#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 re #s(literal -1 binary64))))
✓	50.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	44.6%	#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))
	29.2%	#s(approx (* (exp re) (cos im)) (sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	50.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 322 to 315 computations (2.2% saved)

series15.0ms (0.4%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

31 → 50

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 2))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (+ 2 (* 2 re))))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (+ 2 (* re (+ 2 re)))))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (+ 2 (* re (+ 2 (* re (+ 1 (* 1/3 re))))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* 2 re)))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* re (+ 2 (* 1/3 (pow re 2))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* re (+ 2 (* (pow re 2) (+ 1/3 (* 1/60 (pow re 2))))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* re (+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 1/60 (* 1/2520 (pow re 2))))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (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 (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (* 2 (exp re))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (- (exp re) (/ 1 (exp re)))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (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))
#s(approx (* im im) #s(hole binary64 (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 (+ (* (* 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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (exp 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)) (* 1/2 (+ (* 2 (cosh re)) (* 2 (sinh re)))) (+ (* 2 (cosh re)) (* 2 (sinh re))) 2 (cosh re) (* 2 (sinh re)) (sinh re))
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 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (exp 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)) (* 1/2 (+ (* 2 (cosh re)) (* 2 (sinh re)))) (+ (* 2 (cosh re)) (* 2 (sinh re))) 2 (cosh re) (* 2 (sinh re)) (sinh re))
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 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (exp 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)) (* 1/2 (+ (* 2 (cosh re)) (* 2 (sinh re)))) (+ (* 2 (cosh re)) (* 2 (sinh re))) 2 (cosh re) (* 2 (sinh re)) (sinh re))
2.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (exp 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)) (* 1/2 (+ (* 2 (cosh re)) (* 2 (sinh re)))) (+ (* 2 (cosh re)) (* 2 (sinh re))) 2 (cosh re) (* 2 (sinh re)) (sinh re))
2.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 re 1 (cos im) im (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (exp 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)) (* 1/2 (+ (* 2 (cosh re)) (* 2 (sinh re)))) (+ (* 2 (cosh re)) (* 2 (sinh re))) 2 (cosh re) (* 2 (sinh re)) (sinh re))

rewrite206.0ms (6%)

Memory

-31.8MiB live, 302.6MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	996
0	269	909
1	1477	905
0	8123	858

Stop Event

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

Counts

81 → 266

Calls

Call 1

Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(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 (+ (* (- (* 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)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))
#s(literal 2 binary64)
(cosh.f64 re)
(*.f64 #s(literal 2 binary64) (sinh.f64 re))
(sinh.f64 re)
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 2))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (+ 2 (* 2 re))))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (+ 2 (* re (+ 2 re)))))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (+ 2 (* re (+ 2 (* re (+ 1 (* 1/3 re))))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* 2 re)))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* re (+ 2 (* 1/3 (pow re 2))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* re (+ 2 (* (pow re 2) (+ 1/3 (* 1/60 (pow re 2))))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (* re (+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 1/60 (* 1/2520 (pow re 2))))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (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 (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(hole binary64 (* 2 (exp re))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* 2 (sinh re)) #s(hole binary64 (- (exp re) (/ 1 (exp re)))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (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))
#s(approx (* im im) #s(hole binary64 (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 (+ (* (* 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)))))))

Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.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))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
(*.f64 (+.f64 (/.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 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.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) (.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) (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(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(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
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(/.f64 (fma.f64 (+.f64 (exp.f64 (.f64 re #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 re) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 re re)) (+.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re))))) (.f64 (+.f64 (exp.f64 (+.f64 re re)) (-.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re))))) (-.f64 (exp.f64 (.f64 re #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 re) #s(literal 3 binary64)))))) (.f64 (+.f64 (exp.f64 (+.f64 re re)) (-.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re))))) (+.f64 (exp.f64 (+.f64 re re)) (+.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (sinh.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) #s(literal 2 binary64))))))
(fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 (cosh.f64 re) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 (sinh.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 re re) #s(literal 2 binary64)))) (.f64 (cosh.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 re) (neg.f64 re)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 re) (neg.f64 re)) #s(literal 2 binary64)))) (.f64 (sinh.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 re) re) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 re) re) #s(literal 2 binary64)))) (.f64 (sinh.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 re (neg.f64 re)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 re (neg.f64 re)) #s(literal 2 binary64)))) (.f64 (sinh.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 re re) #s(literal 2 binary64)))) (.f64 (sinh.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 (cosh.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 (sinh.f64 re) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (sinh.f64 re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(-.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 re)))
(+.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (sinh.f64 re) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (sinh.f64 re) #s(literal 2 binary64)))))))
(+.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 (sinh.f64 re) #s(literal 2 binary64)))
(+.f64 (exp.f64 re) (exp.f64 re))
#s(literal 2 binary64)
(/.f64 (neg.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (cosh.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 re) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 re re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 re))
(/.f64 (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (sinh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 (sinh.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (sinh.f64 re) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 re re)) (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))))) (neg.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 re #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 re) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 re re)) (+.f64 (exp.f64 (*.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 re re)) (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64)))) (.f64 (cosh.f64 re) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 re #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 re) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 re re)) (+.f64 (exp.f64 (*.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re))))))
(-.f64 (/.f64 (exp.f64 (+.f64 re re)) (.f64 (cosh.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))) (*.f64 (cosh.f64 re) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 re #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 re re)) (+.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re)))))) (/.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 re re)) (+.f64 (exp.f64 (.f64 (neg.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 re (neg.f64 re)))))))
(-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))
(+.f64 (sinh.f64 re) (sinh.f64 re))
(/.f64 (neg.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 re) #s(literal 2 binary64)) (/.f64 (sinh.f64 re) #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 (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(literal 2 binary64))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) (fma.f64 #s(literal 2 binary64) re #s(literal 2 binary64)))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) (fma.f64 (+.f64 #s(literal 2 binary64) re) re #s(literal 2 binary64)))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) re #s(literal 1 binary64)) re #s(literal 2 binary64)) re #s(literal 2 binary64)))
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (* 2 (sinh re)) (+.f64 re re))
#s(approx (* 2 (sinh re)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/3 binary64) #s(literal 2 binary64)) re))
#s(approx (* 2 (sinh re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64)) re))
#s(approx (* 2 (sinh re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 re re) #s(literal 1/60 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (.f64 re re) #s(literal 2 binary64)) re))
#s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (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) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 re re))) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) (*.f64 #s(literal 2 binary64) (exp.f64 re)))
#s(approx (cosh re) (.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 2 (sinh re)) (*.f64 (sinh.f64 re) #s(literal 2 binary64)))
#s(approx (sinh re) (.f64 (.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (exp.f64 re) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (exp.f64 re) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 im im)) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (exp.f64 re))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (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)
#s(approx (* im im) (*.f64 im im))
#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 (+ (* (* 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)))

eval39.0ms (1.2%)

Memory: -1.2MiB live, 137.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 087 to 1 442 computations (64.7% saved)

prune17.0ms (0.5%)

Memory

2.7MiB live, 51.5MiB allocated; 7ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	339	11	350
Fresh	4	1	5
Picked	4	1	5
Done	1	4	5
Total	348	17	365

Accuracy

100.0%

Counts

365 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	24.4%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	65.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	31.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	13.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	18.6%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (cos.f64 im))
▶	16.9%	(.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))))
	18.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
	16.9%	(.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))))
	28.5%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	70.0%	#s(approx (* (exp re) (cos im)) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 re)) #s(literal 1/2 binary64)))
✓	50.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	39.2%	#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) (fma.f64 (+.f64 #s(literal 2 binary64) re) re #s(literal 2 binary64)))))
	28.5%	#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) (fma.f64 #s(literal 2 binary64) re #s(literal 2 binary64)))))
▶	27.6%	#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) #s(literal 2 binary64))))
✓	50.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 430 to 429 computations (0.2% saved)

series25.0ms (0.7%)

Memory

1.9MiB live, 38.9MiB allocated; 16ms collecting garbage

Counts

32 → 36

Calls

Call 1

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

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 (* (* 2 (exp re)) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (+ 1 re)))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* 2 (exp re)) #s(hole binary64 2))
#s(approx (* 2 (exp re)) #s(hole binary64 (+ 2 (* 2 re))))
#s(approx (* 2 (exp re)) #s(hole binary64 (+ 2 (* re (+ 2 re)))))
#s(approx (* 2 (exp re)) #s(hole binary64 (+ 2 (* re (+ 2 (* re (+ 1 (* 1/3 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (+ 2 re) #s(hole binary64 (+ 2 re)))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (exp re)))
#s(approx (* 2 (exp re)) #s(hole binary64 (* 2 (exp re))))
#s(approx (+ (* (+ 2 re) re) 2) #s(hole binary64 (* (pow re 2) (+ 1 (* 2 (/ 1 re))))))
#s(approx (+ (* (+ 2 re) re) 2) #s(hole binary64 (* (pow re 2) (+ 1 (+ (* 2 (/ 1 re)) (/ 2 (pow re 2)))))))
#s(approx (+ 2 re) #s(hole binary64 (* re (+ 1 (* 2 (/ 1 re))))))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (* (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) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))

Calls

6 calls:

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

rewrite240.0ms (7%)

Memory

24.9MiB live, 260.0MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	812
0	198	762
1	1005	720
0	8750	692

Stop Event

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

Counts

68 → 358

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 re)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (exp.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 re))
#s(literal 2 binary64)
(exp.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) #s(literal 2 binary64)))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) #s(literal 2 binary64))
#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) (fma.f64 (+.f64 #s(literal 2 binary64) re) re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) (fma.f64 (+.f64 #s(literal 2 binary64) re) re #s(literal 2 binary64))))
#s(approx (+ (* 2 (cosh re)) (* 2 (sinh re))) (fma.f64 (+.f64 #s(literal 2 binary64) re) re #s(literal 2 binary64)))
(fma.f64 (+.f64 #s(literal 2 binary64) re) re #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) re)
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(*.f64 im im)
im
#s(literal -1/2 binary64)
(.f64 #s(approx (exp re) #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) #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) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(*.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))
#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 (* (* 2 (exp re)) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (+ 1 re)))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* 2 (exp re)) #s(hole binary64 2))
#s(approx (* 2 (exp re)) #s(hole binary64 (+ 2 (* 2 re))))
#s(approx (* 2 (exp re)) #s(hole binary64 (+ 2 (* re (+ 2 re)))))
#s(approx (* 2 (exp re)) #s(hole binary64 (+ 2 (* re (+ 2 (* re (+ 1 (* 1/3 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (+ 2 re) #s(hole binary64 (+ 2 re)))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (* 2 (exp re)) 1/2) #s(hole binary64 (exp re)))
#s(approx (* 2 (exp re)) #s(hole binary64 (* 2 (exp re))))
#s(approx (+ (* (+ 2 re) re) 2) #s(hole binary64 (* (pow re 2) (+ 1 (* 2 (/ 1 re))))))
#s(approx (+ (* (+ 2 re) re) 2) #s(hole binary64 (* (pow re 2) (+ 1 (+ (* 2 (/ 1 re)) (/ 2 (pow re 2)))))))
#s(approx (+ 2 re) #s(hole binary64 (* re (+ 1 (* 2 (/ 1 re))))))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (* (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) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))

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

eval50.0ms (1.4%)

Memory: -5.8MiB live, 88.6MiB allocated; 31ms collecting garbage
Compiler: Compiled 3 241 to 1 696 computations (47.7% saved)

prune23.0ms (0.7%)

Memory

9.9MiB live, 54.2MiB allocated; 6ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	343	11	354
Fresh	1	6	7
Picked	4	1	5
Done	0	5	5
Total	348	23	371

Accuracy

100.0%

Counts

371 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	24.4%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	65.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	13.3%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	31.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	13.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
	13.3%	(.f64 #s(approx (exp re) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	18.6%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (cos.f64 im))
✓	16.9%	(.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))))
	16.7%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (.f64 re re)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	18.9%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
	16.9%	(.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))))
	28.5%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	50.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	28.5%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) (fma.f64 #s(literal 2 binary64) re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	13.2%	#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) #s(approx (+ (* (+ 2 re) re) 2) (fma.f64 (-.f64 re #s(literal -2 binary64)) re (.f64 (.f64 re re) (/.f64 #s(literal 2 binary64) (*.f64 re re))))))))
	14.6%	#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 (cosh re)) (* 2 (sinh re))) #s(approx (+ (* (+ 2 re) re) 2) (*.f64 (-.f64 re #s(literal -2 binary64)) re)))))
✓	50.0%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	39.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) (-.f64 re #s(literal -1 binary64))))
	70.0%	#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) (exp.f64 re)))
	27.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) #s(literal 1 binary64)))

Compiler

Compiled 640 to 524 computations (18.1% saved)

regimes52.0ms (1.5%)

Memory

26.3MiB live, 117.2MiB allocated; 7ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	im
10.0ms	re
10.0ms	(cos.f64 im)
9.0ms	(*.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)

regimes60.0ms (1.7%)

Memory

-25.8MiB live, 118.2MiB allocated; 19ms collecting garbage

Counts

36 → 5

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	im
12.0ms	(cos.f64 im)
11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	re
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
85.3%	2	`(cos.f64 im)`
94.0%	3	`(exp.f64 re)`
99.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
97.1%	4	`re`
85.1%	3	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes10.0ms (0.3%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Counts

35 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
98.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.3%)

Memory

-25.3MiB live, 21.4MiB allocated; 2ms collecting garbage

Counts

30 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
98.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes41.0ms (1.2%)

Memory

-17.9MiB live, 83.1MiB allocated; 7ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.0%	1	`im`
73.1%	2	`(cos.f64 im)`
71.5%	2	`(exp.f64 re)`
72.7%	2	`re`
77.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
77.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

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 (* (* 2 (exp re)) 1/2) (exp.f64 re)))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
76.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
75.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

12 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) (exp.f64 re)))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
75.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-36.9MiB live, 9.3MiB allocated; 3ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

(*.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 (* (* 2 (exp re)) 1/2) (exp.f64 re)))

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) (exp.f64 re)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
70.0%	1	`(exp.f64 re)`
70.0%	1	`re`
70.0%	1	`(cos.f64 im)`
70.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes14.0ms (0.4%)

Memory

-18.2MiB live, 28.5MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	im
3.0ms	re
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
39.2%	1	`(cos.f64 im)`
39.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
39.2%	1	`im`
39.2%	1	`re`
39.2%	1	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
28.5%	1	`(cos.f64 im)`
39.2%	2	`re`
39.2%	2	`(exp.f64 re)`
28.5%	1	`im`
39.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes29.0ms (0.9%)

Memory

-40.4MiB live, 18.0MiB allocated; 33ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	re
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
28.5%	1	`(cos.f64 im)`
28.5%	1	`re`
28.5%	1	`(exp.f64 re)`
28.5%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) #s(literal 1 binary64)))

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
28.2%	1	`re`
28.2%	1	`im`
28.2%	1	`(exp.f64 re)`
28.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
28.2%	1	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) #s(literal 1 binary64)))

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (* (* 2 (exp re)) 1/2) #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
27.6%	1	`re`
27.6%	1	`im`
27.6%	1	`(exp.f64 re)`
27.6%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
27.6%	1	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.6838644570743133	+inf
0.0ms	1.3350804375519155e-27	0.009967050092090621
0.0ms	-0.012870266850630967	-0.0
0.0ms	-inf	-4368480146590518.5

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999995083481	1.0
0.0ms	1.3350804375519155e-27	0.009967050092090621
0.0ms	-0.012870266850630967	-0.0
0.0ms	-inf	-4368480146590518.5

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9692190074011887	0.9999997244368622
0.0ms	1.3350804375519155e-27	0.009967050092090621
0.0ms	-0.012870266850630967	-0.0
0.0ms	-inf	-4368480146590518.5

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012870266850630967	-0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012870266850630967	-0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.036053237468947036	-0.012870266850630967

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch5.0ms (0.1%)

Memory

-47.3MiB live, 0.6MiB allocated; 7ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
4.0ms	-0.012870266850630967	-0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012870266850630967	-0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012870266850630967	-0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000000003	2.6838644570743133

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations693.0ms (20.2%)

Memory

64.4MiB live, 632.9MiB allocated; 147ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 193 to 121 computations (37.3% saved)

preprocess326.0ms (9.5%)

Memory: -0.2MiB live, 347.4MiB allocated; 175ms collecting garbage
Remove: (abs im)
Compiler: Compiled 1 106 to 932 computations (15.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample975.0ms (28.5%)

preprocess48.0ms (1.4%)

series4.0ms (0.1%)

rewrite150.0ms (4.4%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

series23.0ms (0.7%)

rewrite249.0ms (7.3%)

eval37.0ms (1.1%)

prune11.0ms (0.3%)

series15.0ms (0.4%)

rewrite206.0ms (6%)

eval39.0ms (1.2%)

prune17.0ms (0.5%)

series25.0ms (0.7%)

rewrite240.0ms (7%)

eval50.0ms (1.4%)

prune23.0ms (0.7%)

regimes52.0ms (1.5%)

regimes60.0ms (1.7%)

regimes10.0ms (0.3%)

regimes9.0ms (0.3%)

regimes41.0ms (1.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.3%)

regimes14.0ms (0.4%)

regimes11.0ms (0.3%)

regimes29.0ms (0.9%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations693.0ms (20.2%)

preprocess326.0ms (9.5%)

end0.0ms (0%)

Profiling