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

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.6s (36.2%)

Memory

-26.8MiB live, 1 834.1MiB allocated; 1.2s collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 957.0ms (83.3% of total)

ival-exp: 129.0ms (11.2% of total)

ival-mult: 58.0ms (5% of total)

ival-assert: 3.0ms (0.3% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain95.0ms (2.1%)

Memory

-20.2MiB live, 164.4MiB allocated; 54ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (exp.f64 re) (cos.f64 im))`
-	-	`(cos.f64 im)`
-	-	`re`
-	-	`(exp.f64 re)`
-	-	`im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 12.0ms (59.1% of total)

ival-exp: 4.0ms (19.7% of total)

ival-mult: 3.0ms (14.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess195.0ms (4.3%)

Memory

32.7MiB live, 271.2MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	138	32
3	417	32
4	1629	32
0	5	5
0	8	5
1	19	5
2	39	5
3	86	5
4	325	5
5	2558	5
0	8529	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

series27.0ms (0.6%)

Memory

0.4MiB live, 53.7MiB allocated; 15ms collecting garbage

Counts

5 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite155.0ms (3.5%)

Memory

6.1MiB live, 191.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	281
1	527	270
0	5097	250

Stop Event

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

Counts

26 → 41

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: -33.4MiB live, 12.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 481 to 134 computations (72.1% saved)

prune6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	32	9	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	10	42

Accuracy

100.0%

Counts

42 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(.f64 (/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
▶	99.8%	(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	59.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	64.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	58.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	48.4%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
▶	48.4%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
	70.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	47.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 235 to 177 computations (24.7% saved)

series74.0ms (1.6%)

Memory

-12.9MiB live, 31.9MiB allocated; 6ms collecting garbage

Counts

26 → 68

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin 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)))
#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 (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* (pow im 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (* (pow im 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (sin (* 1/2 (PI))))) (* 1/24 (sin (* 1/2 (PI)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (* (cos im) (sin (* 1/2 (PI))))))
#s(approx (cos im) #s(hole binary64 (cos im)))

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	im	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (- re -1) -1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 1 (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)))
4.0ms	re	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (- re -1) -1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 1 (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)))
4.0ms	re	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (- re -1) -1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 1 (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)))
2.0ms	im	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (- re -1) -1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 1 (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)))
2.0ms	re	@	0	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (- re -1) -1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 1 (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)))

rewrite209.0ms (4.6%)

Memory

-1.4MiB live, 289.9MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	1315
1	1772	1212
0	9125	1118

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 224

Calls

Call 1

Inputs
(* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))))
(exp re)
re
(+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))
(sin im)
im
(cos (/ (PI) 2))
(/ (PI) 2)
(PI)
2
(* (cos im) (sin (/ (PI) 2)))
(cos im)
(sin (/ (PI) 2))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
(* #s(approx (exp re) #s(hole binary64 (- re -1))) (cos im))
#s(approx (exp re) #s(hole binary64 (- re -1)))
(- re -1)
-1
(* #s(approx (exp re) #s(hole binary64 (+ (* (+ (* 1/2 re) 1) re) 1))) (cos im))
#s(approx (exp re) #s(hole binary64 (+ (* (+ (* 1/2 re) 1) re) 1)))
(+ (* (+ (* 1/2 re) 1) re) 1)
(+ (* 1/2 re) 1)
1/2
1
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (* (cos im) re) (cos im))))
(+ (* (cos im) re) (cos im))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin 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)))
#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 (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* (pow im 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (* (pow im 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (sin (* 1/2 (PI))))) (* 1/24 (sin (* 1/2 (PI)))))))))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (* (cos im) (sin (* 1/2 (PI))))))
#s(approx (cos im) #s(hole binary64 (cos im)))

Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))) (.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (-.f64 (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im)))) (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re) (.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(fma.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(+.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.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 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 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 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.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 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.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 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 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 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.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 #s(literal 1/2 binary64) re) (.f64 re (pow.f64 re #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (fma.f64 (.f64 (neg.f64 re) (cos.f64 im)) (.f64 (neg.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cos.f64 im) re) (cos.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (.f64 (cos.f64 im) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) re) (cos.f64 im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 (cos.f64 im) re))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) re) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re))) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (.f64 (cos.f64 im) re)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 (cos.f64 im) re)))))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 im) re) (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(-.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (.f64 (cos.f64 im) re))) (/.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) re) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 (cos.f64 im) re))))) (/.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 2 binary64)) (.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) #s(literal 1/2 binary64))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) re (cos.f64 im)) re (cos.f64 im)))
#s(approx (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (cos im) re) (cos im)) (cos.f64 im))
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#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 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) (.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (cos im) re) (cos im)) (*.f64 (cos.f64 im) re))
#s(approx (+ (* (cos im) re) (cos im)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (+ (* (cos im) re) (cos im)) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal -1 binary64) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (exp re) (cos im)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) im (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) im) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) im (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) im) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) im (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx im im)
#s(approx (* (cos im) (sin (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 im im) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 im im)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/24 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 im im) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (.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) re) (cos im)) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) (.f64 im im))) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (sin im) (sin.f64 im))
#s(approx (* (cos im) (sin (/ (PI) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (cos.f64 im))

eval37.0ms (0.8%)

Memory: 7.3MiB live, 102.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 041 to 930 computations (84.6% saved)

prune38.0ms (0.8%)

Memory

0.8MiB live, 47.8MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	234	14	248
Fresh	0	4	4
Picked	1	4	5
Done	0	1	1
Total	235	23	258

Accuracy

100.0%

Counts

258 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(.f64 (/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
▶	99.8%	(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) #s(literal 1 binary64))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	59.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	64.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
✓	58.6%	(*.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))
▶	34.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
	35.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	33.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	33.6%	(.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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
✓	48.4%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
	29.8%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
	30.5%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
▶	27.8%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	48.4%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
	70.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	47.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	29.2%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
	29.2%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	25.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	25.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
	30.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
	25.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))

Compiler

Compiled 1 033 to 714 computations (30.9% saved)

series19.0ms (0.4%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Counts

36 → 100

Calls

Call 1

Inputs
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) #s(literal 1 binary64))))
(exp.f64 re)
re
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(sin.f64 im)
im
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #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))

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 1/2 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
4.0ms	im	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 1/2 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
3.0ms	re	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 1/2 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
3.0ms	re	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 1/2 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
2.0ms	im	@	0	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) -1/720 1/24 1/2 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))

rewrite205.0ms (4.5%)

Memory

-0.7MiB live, 317.1MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	2137
1	2039	2034
0	8434	1868

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 373

Calls

Call 1

Inputs
(* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)))
(exp re)
re
(+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))
(sin im)
im
(cos (/ (PI) 2))
(/ (PI) 2)
(PI)
2
(* (cos im) 1)
(cos im)
1
#s(approx (* (exp re) (cos im)) #s(hole binary64 #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 1))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 1))
(* #s(approx (exp re) #s(hole binary64 (- re -1))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (* im im) -1/2) 1))))
#s(approx (exp re) #s(hole binary64 (- re -1)))
(- re -1)
-1
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (* im im) -1/2) 1)))
(+ (* (* im im) -1/2) 1)
(* im im)
-1/2
#s(approx (* (exp re) (cos im)) #s(hole binary64 #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)))
(+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)
(- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2)
(* (+ (* -1/720 (* im im)) 1/24) (* im im))
(+ (* -1/720 (* im im)) 1/24)
-1/720
1/24
1/2
(* #s(approx (exp re) #s(hole binary64 (+ (* (+ (* 1/2 re) 1) re) 1))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1))))
#s(approx (exp re) #s(hole binary64 (+ (* (+ (* 1/2 re) 1) re) 1)))
(+ (* (+ (* 1/2 re) 1) re) 1)
(+ (* 1/2 re) 1)
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (+ (* 1/2 (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (+ (* re (+ (* 1/6 (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin 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)))
#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) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (* (exp re) (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (* (cos (* 1/2 (PI))) (exp re))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (+ (* -1/2 (* im (exp re))) (* (cos (* 1/2 (PI))) (exp re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (+ (* im (+ (* -1/2 (exp re)) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 1))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* -1/2 im))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* im (- (* -1/6 (* im (cos (* 1/2 (PI))))) 1/2)))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (cos im) 1) #s(hole binary64 1))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (cos im) 1) #s(hole binary64 (cos im)))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))

Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (-.f64 (.f64 (.f64 (cos.f64 im) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re))) (.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (-.f64 (.f64 (.f64 (cos.f64 im) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re))) (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (cos.f64 im) (exp.f64 re))))))
(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (*.f64 (cos.f64 im) (exp.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 #s(literal 0 binary64) (sin.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)))) (*.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)))) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 im))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (cos.f64 im))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (cos.f64 im))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))))
(+.f64 (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))
(sin.f64 im)
im
#s(literal 0 binary64)
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 #s(literal 0 binary64) (sin.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)))) (*.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)))) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 im)) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im)))) (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (cos.f64 im))))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 im))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) (cos.f64 im)) #s(literal 2 binary64))
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#s(approx (exp re) (fma.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 2 binary64)))) (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 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(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 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (.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 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(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 2 binary64))) (-.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 2 binary64)) #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 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (.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)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(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 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.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 2 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 (*.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 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (.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 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (.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)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(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 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) re)
(*.f64 re (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 re (pow.f64 re #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 re (pow.f64 re #s(literal -1 binary64))) (.f64 re (pow.f64 re #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 re (pow.f64 re #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) #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) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.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 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 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 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.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 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.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 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 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 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))) (/.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 re (pow.f64 re #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (+.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)) re (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (+.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)))) (cos.f64 im)) re (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) re) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)) #s(literal 1/2 binary64))) re (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))) (cos.f64 im)) re (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) re (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (exp.f64 re)))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#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 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) (.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) im (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) im) (exp.f64 re) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) im (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (exp.f64 re)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) im #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) im #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)) im (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im #s(literal 1 binary64)))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx im im)
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (.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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) im) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) im (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos im)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) im) (exp.f64 re) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) im) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) im (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)))
#s(approx (sin im) (sin.f64 im))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (cos.f64 im))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (cos.f64 im))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 im im)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 im im)))

eval76.0ms (1.7%)

Memory: 6.4MiB live, 153.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 22 479 to 1 717 computations (92.4% saved)

prune60.0ms (1.3%)

Memory

-37.4MiB live, 111.8MiB allocated; 20ms collecting garbage

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	503	9	512
Fresh	3	10	13
Picked	3	2	5
Done	0	5	5
Total	509	26	535

Accuracy

100.0%

Counts

535 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(.f64 (/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	99.8%	(.f64 (exp.f64 re) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))))
	59.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	64.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
✓	58.6%	(*.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))
	35.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	34.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	33.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	33.6%	(.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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
✓	48.4%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
	29.8%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
	30.5%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
▶	12.6%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	6.7%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	13.1%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
✓	48.4%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
	70.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	47.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	29.2%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
▶	29.0%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	29.2%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	25.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	25.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
	30.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
▶	25.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))

Compiler

Compiled 1 343 to 926 computations (31% saved)

series25.0ms (0.6%)

Memory

14.4MiB live, 59.3MiB allocated; 4ms collecting garbage

Counts

44 → 99

Calls

Call 1

Inputs
(.f64 (exp.f64 re) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))))
(exp.f64 re)
re
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(sin.f64 im)
im
(cos.f64 im)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (*.f64 im im))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
#s(literal -1/720 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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (exp re) #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) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (cos (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (PI) (sin im) im (cos im) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ 1 re) 1 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* re re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24)
4.0ms	im	@	0	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (cos (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (PI) (sin im) im (cos im) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ 1 re) 1 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* re re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24)
4.0ms	im	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (cos (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (PI) (sin im) im (cos im) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ 1 re) 1 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* re re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24)
4.0ms	re	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (cos (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (PI) (sin im) im (cos im) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ 1 re) 1 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* re re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24)
3.0ms	re	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (cos (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (PI) (sin im) im (cos im) (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (+ 1 re) 1 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (- re -1) -1 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* re re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) 1/24)

rewrite191.0ms (4.2%)

Memory

10.8MiB live, 343.0MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	357	2267
1	2066	2162
0	8427	2002

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 310

Calls

Call 1

Inputs
(* (exp re) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)))))
(exp re)
re
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im))))
(+ (* (cos (* 1/2 (PI))) (sin im)) (cos im))
(cos (* 1/2 (PI)))
(* 1/2 (PI))
1/2
(PI)
(sin im)
im
(cos im)
#s(approx (* (exp re) (cos im)) #s(hole binary64 #s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 re)))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 re)))
(+ 1 re)
1
(* #s(approx (exp re) #s(hole binary64 (- re -1))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 #s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (* im im) -1/2))))))
#s(approx (exp re) #s(hole binary64 (- re -1)))
(- re -1)
-1
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 #s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (* im im) -1/2)))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (* im im) -1/2)))
(* (* im im) -1/2)
(* im im)
-1/2
#s(approx (* (exp re) (cos im)) #s(hole binary64 #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (- (* #s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (* im im) -1/720))) (* im im)) 1/2) (* im im)) 1)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (- (* #s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (* im im) -1/720))) (* im im)) 1/2) (* im im)) 1)))
(+ (* (- (* #s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (* im im) -1/720))) (* im im)) 1/2) (* im im)) 1)
(- (* #s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (* im im) -1/720))) (* im im)) 1/2)
(* #s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (* im im) -1/720))) (* im im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (* im im) -1/720)))
(* (* im im) -1/720)
-1/720
(* #s(approx (exp re) #s(hole binary64 #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (* re re) 1/2))))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1))))
#s(approx (exp re) #s(hole binary64 #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (* re re) 1/2)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (* re re) 1/2)))
(* (* re re) 1/2)
(* re re)
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)))
(+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)
(- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2)
(* (+ (* -1/720 (* im im)) 1/24) (* im im))
(+ (* -1/720 (* im im)) 1/24)
1/24
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin 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)))
#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 (+ (* (cos im) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (* (* re re) 1/2) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) #s(hole binary64 1))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) #s(hole binary64 (+ 1 (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* -1/2 im))))))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* im (- (* -1/6 (* im (cos (* 1/2 (PI))))) 1/2)))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (cos im) #s(hole binary64 1))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (* -1/2 re) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (* 1/24 re)))) 1/2))))))
#s(approx (+ (* (cos im) re) (cos im)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (- (+ (* -1/2 re) (* (pow im 2) (+ 1/24 (+ (* 1/24 re) (* (pow im 2) (- (* -1/720 re) 1/720)))))) 1/2))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (* (* im im) -1/720) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) #s(hole binary64 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))

Outputs
(.f64 #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (cos.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (cos.f64 im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (cos.f64 im)))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64))) (-.f64 (cos.f64 im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))
(fma.f64 (sin.f64 im) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (cos.f64 im))))
(-.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (cos.f64 im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)))) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))
(-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 im im)))
(+.f64 (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))) (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) re) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) #s(literal 1/2 binary64))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))) re (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (cos.f64 im))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) re (cos.f64 im)) re (cos.f64 im)))
#s(approx (+ (* (cos im) re) (cos im)) (cos.f64 im))
#s(approx (+ (* (cos im) re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (* re re) 1/2) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (* (cos im) re) (cos im)) (*.f64 (cos.f64 im) re))
#s(approx (+ (* (cos im) re) (cos im)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#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 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -2 binary64))) (.f64 re re)))
#s(approx (+ (* (cos im) re) (cos im)) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal -1 binary64) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) im (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) im) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re)) (.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) im (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))) im (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) im) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) im (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) #s(literal 1 binary64))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) im #s(literal 1 binary64)))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) im #s(literal 1 binary64)))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)) im (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) im #s(literal 1 binary64)))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx im im)
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp.f64 re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (.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) re) (cos im)) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64)) (.f64 im im))) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* im im) -1/2) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64)))
#s(approx (* (* im im) -1/720) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
#s(approx (+ (* (cos (* 1/2 (PI))) (sin im)) (cos im)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im)))
#s(approx (sin im) (sin.f64 im))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 im im)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 im im)))

eval68.0ms (1.5%)

Memory: 10.0MiB live, 144.3MiB allocated; 27ms collecting garbage
Compiler: Compiled 21 819 to 1 990 computations (90.9% saved)

prune35.0ms (0.8%)

Memory

-12.4MiB live, 89.2MiB allocated; 8ms collecting garbage

Pruning

27 alts after pruning (16 fresh and 11 done)

	Pruned	Kept	Total
New	440	5	445
Fresh	3	11	14
Picked	1	4	5
Done	0	7	7
Total	444	27	471

Accuracy

100.0%

Counts

471 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(.f64 (/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	99.8%	(.f64 (exp.f64 re) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))))
	59.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	64.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
✓	58.6%	(*.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))
	35.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	33.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	33.6%	(.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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
✓	48.4%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
	29.8%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
	30.5%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	12.6%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	12.7%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	11.0%	(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	13.1%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	70.1%	#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp.f64 re))
✓	48.4%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
✓	47.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	29.2%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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))))
✓	29.0%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	29.2%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	25.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	25.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
	30.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
✓	25.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
	3.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))

Compiler

Compiled 1 858 to 703 computations (62.2% saved)

regimes56.0ms (1.2%)

Memory

21.9MiB live, 113.1MiB allocated; 10ms collecting garbage

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(.f64 (exp.f64 re) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im) (cos.f64 im))))
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))

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

Calls

5 calls:

13.0ms	re
11.0ms	(exp.f64 re)
11.0ms	im
10.0ms	(cos.f64 im)
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

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)

regimes85.0ms (1.9%)

Memory

-62.3MiB live, 76.8MiB allocated; 56ms collecting garbage

Counts

32 → 5

Calls

Call 1

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

Outputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))

Calls

5 calls:

44.0ms	im
16.0ms	(cos.f64 im)
9.0ms	re
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
83.5%	2	`(cos.f64 im)`
91.5%	2	`(exp.f64 re)`
99.3%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
97.0%	4	`re`
82.8%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.2%)

Memory

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

Counts

31 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.2%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

30 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes56.0ms (1.2%)

Memory

-29.0MiB live, 16.6MiB allocated; 8ms collecting garbage

Counts

29 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp.f64 re))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))

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

Calls

1 calls:

54.0ms

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

Results

Accuracy	Segments	Branch
98.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.4%)

Memory

34.3MiB live, 34.3MiB allocated; 0ms collecting garbage

Counts

28 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp.f64 re))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.1%	3	`re`
98.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes106.0ms (2.4%)

Memory

-31.1MiB live, 110.1MiB allocated; 18ms collecting garbage

Counts

26 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))

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

5 calls:

60.0ms	(cos.f64 im)
21.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms	im
7.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
52.5%	2	`im`
54.0%	2	`(cos.f64 im)`
65.6%	3	`re`
65.5%	3	`(exp.f64 re)`
71.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes65.0ms (1.4%)

Memory

15.9MiB live, 104.1MiB allocated; 10ms collecting garbage

Counts

25 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

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

5 calls:

35.0ms	im
9.0ms	re
7.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
37.4%	2	`im`
41.7%	2	`(cos.f64 im)`
42.1%	2	`(exp.f64 re)`
43.8%	3	`re`
50.5%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

21 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

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

5.0ms

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

Results

Accuracy	Segments	Branch
50.1%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-28.5MiB live, 23.5MiB allocated; 8ms collecting garbage

Counts

20 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

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

10.0ms

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

Results

Accuracy	Segments	Branch
49.7%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/24 binary64)) (.f64 im im) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1/2 binary64)) (*.f64 im im) re) #s(literal 1 binary64))))

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
46.3%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes14.0ms (0.3%)

Memory

-27.4MiB live, 16.4MiB allocated; 4ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))

Outputs

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
44.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes3.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))))

Outputs

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
44.4%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.4%)

Memory

-7.6MiB live, 39.4MiB allocated; 1ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

6.0ms	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
27.7%	2	`im`
29.9%	2	`(cos.f64 im)`
36.3%	3	`(exp.f64 re)`
36.3%	3	`re`
36.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
28.2%	2	`(cos.f64 im)`
27.5%	2	`(exp.f64 re)`
27.7%	2	`re`
28.3%	2	`(*.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 (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
25.8%	1	`(exp.f64 re)`
25.8%	1	`re`
25.8%	1	`im`
25.8%	1	`(cos.f64 im)`
25.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes27.0ms (0.6%)

Memory

-32.6MiB live, 13.9MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))

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

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))

Calls

5 calls:

21.0ms	(exp.f64 re)
1.0ms	re
1.0ms	im
1.0ms	(cos.f64 im)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
25.5%	1	`re`
25.5%	1	`im`
25.5%	1	`(cos.f64 im)`
25.5%	1	`(exp.f64 re)`
25.5%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
3.5%	1	`(exp.f64 re)`
3.5%	1	`re`
3.5%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
3.5%	1	`im`
3.5%	1	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999998	1.0
0.0ms	6.159846960427972e-106	0.0064759930444574275
0.0ms	-0.14523899688377961	-0.0
0.0ms	-inf	-0.9989235299640854

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999998	1.0
0.0ms	6.159846960427972e-106	0.0064759930444574275
0.0ms	-0.14523899688377961	-0.0
0.0ms	-inf	-0.9989235299640854

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	0.9999999999999998	1.0
0.0ms	6.159846960427972e-106	0.0064759930444574275
0.0ms	-0.14523899688377961	-0.0
0.0ms	-inf	-0.9989235299640854

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999998	1.0
0.0ms	6.159846960427972e-106	0.0064759930444574275
0.0ms	-0.14523899688377961	-0.0
0.0ms	-inf	-0.9989235299640854

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	0.9999999999999998	1.0
0.0ms	6.159846960427972e-106	0.0064759930444574275
0.0ms	-0.14523899688377961	-0.0
0.0ms	-inf	-0.9989235299640854

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998455275010325	0.9999999868228339
0.0ms	-0.0	6.159846960427972e-106
0.0ms	-0.14523899688377961	-0.0
0.0ms	-inf	-0.9989235299640854

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9906838326197638	0.9998455275010325
0.0ms	-0.0	6.159846960427972e-106
0.0ms	-inf	-0.9989235299640854

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9906838326197638	0.9998455275010325
0.0ms	-0.0	6.159846960427972e-106
0.0ms	-inf	-0.9989235299640854

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9906838326197638	0.9998455275010325
0.0ms	-0.0	6.159846960427972e-106
0.0ms	-inf	-0.9989235299640854

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	6.159846960427972e-106
0.0ms	-inf	-0.9989235299640854

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	-0.0	6.159846960427972e-106

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	-0.0	6.159846960427972e-106

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.159846960427972e-106	0.0064759930444574275

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	-0.0	6.159846960427972e-106

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	-0.0	6.159846960427972e-106

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify94.0ms (2.1%)

Memory

-24.5MiB live, 72.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1476
1	198	1324
2	343	1268
3	835	1268
4	3638	1268

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 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)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503149267407759/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (.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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 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 (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (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)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #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 (+ ( (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)))) #s(approx ( (exp re) (cos im)) (exp.f64 re)) #s(approx (* (exp re) (cos im)) (cos.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 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)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
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(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627370495/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
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#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (+ 1 re) re)))

derivations621.0ms (13.8%)

Memory

-4.9MiB live, 717.1MiB allocated; 100ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 676 to 155 computations (90.8% saved)

preprocess115.0ms (2.6%)

Memory: 14.2MiB live, 208.7MiB allocated; 39ms collecting garbage
Remove: (abs im)
Compiler: Compiled 3 382 to 340 computations (89.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (36.2%)

explain95.0ms (2.1%)

preprocess195.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series27.0ms (0.6%)

rewrite155.0ms (3.5%)

eval8.0ms (0.2%)

prune6.0ms (0.1%)

series74.0ms (1.6%)

rewrite209.0ms (4.6%)

eval37.0ms (0.8%)

prune38.0ms (0.8%)

series19.0ms (0.4%)

rewrite205.0ms (4.5%)

eval76.0ms (1.7%)

prune60.0ms (1.3%)

series25.0ms (0.6%)

rewrite191.0ms (4.2%)

eval68.0ms (1.5%)

prune35.0ms (0.8%)

regimes56.0ms (1.2%)

regimes85.0ms (1.9%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes56.0ms (1.2%)

regimes16.0ms (0.4%)

regimes106.0ms (2.4%)

regimes65.0ms (1.4%)

regimes7.0ms (0.1%)

regimes11.0ms (0.2%)

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regimes14.0ms (0.3%)

regimes3.0ms (0.1%)

regimes16.0ms (0.4%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes8.0ms (0.2%)

regimes27.0ms (0.6%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

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bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify94.0ms (2.1%)

derivations621.0ms (13.8%)

preprocess115.0ms (2.6%)

end0.0ms (0%)

Profiling