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

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.2s (29.6%)

Memory

37.6MiB live, 1 061.7MiB allocated; 453ms collecting garbage

Samples

808.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 536.0ms

ival-cos: 364.0ms (67.9% of total)

ival-exp: 97.0ms (18.1% of total)

ival-mult: 70.0ms (13.1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain67.0ms (1.7%)

Memory

-25.6MiB live, 121.5MiB allocated; 11ms 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

34.0ms

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 (59.4% of total)

ival-exp: 4.0ms (19.8% 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)

preprocess123.0ms (3.1%)

Memory

26.4MiB live, 164.7MiB allocated; 14ms 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)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

series5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

5 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite156.0ms (3.9%)

Memory

20.7MiB live, 160.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	282
0	91	281
1	532	270
0	5122	250

Stop Event

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

Counts

26 → 41

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(+.f64 (.f64 (cos.f64 im) (cosh.f64 re)) (.f64 (cos.f64 im) (sinh.f64 re)))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(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: -33.2MiB live, 11.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 481 to 134 computations (72.1% saved)

prune6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB 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
▶	73.0%	(*.f64 (+.f64 (sinh.f64 re) (cosh.f64 re)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	56.1%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	65.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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))
▶	63.0%	(*.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))
▶	51.9%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
	65.9%	#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)))
▶	63.0%	#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)))
	67.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	50.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 229 to 177 computations (22.7% saved)

series26.0ms (0.7%)

Memory

-1.5MiB live, 51.8MiB allocated; 12ms collecting garbage

Counts

21 → 81

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	re	@	-inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (cos im) im (* (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)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)))
5.0ms	re	@	inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (cos im) im (* (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)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)))
3.0ms	im	@	inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (cos im) im (* (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)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)))
2.0ms	re	@	0	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (cos im) im (* (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)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)))
2.0ms	im	@	-inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) re (cosh re) (cos im) im (* (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)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (* (+ (* 1/2 re) 1) (cos im)))

rewrite221.0ms (5.5%)

Memory

-7.7MiB live, 232.4MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	1732
0	325	1588
1	1901	1532
0	9653	1458

Stop Event

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

Counts

102 → 206

Calls

Call 1

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

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

eval47.0ms (1.2%)

Memory: -14.0MiB live, 73.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 964 to 1 029 computations (85.2% saved)

prune23.0ms (0.6%)

Memory

-7.8MiB live, 48.2MiB allocated; 12ms collecting garbage

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	292	15	307
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	295	22	317

Accuracy

100.0%

Counts

317 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	56.1%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	65.9%	(*.f64 #s(approx (+ (sinh re) (cosh 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))
✓	63.0%	(*.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))
	32.2%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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))))
	31.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	51.9%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
	26.9%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	28.4%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	26.5%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.2%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
▶	67.7%	#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (exp.f64 re))
	65.9%	#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)))
✓	63.0%	#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)))
✓	50.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	33.4%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	23.7%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (.f64 im im)))))
▶	26.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	26.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	24.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	24.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))

Compiler

Compiled 758 to 526 computations (30.6% saved)

series21.0ms (0.5%)

Memory

4.8MiB live, 49.1MiB allocated; 4ms collecting garbage

Counts

35 → 94

Calls

Call 1

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

Outputs
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* 1/120 (pow re 5))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* 1/120 (pow re 4))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* 1/120 (pow re 2))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* (pow re 2) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow re 2))) (pow re 2))) 1/120)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 (* (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 (+ (* (* 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 (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
5.0ms	re	@	inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (cos im) im (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* 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 (* (+ (sinh re) (cosh re)) (cos im)) (exp re))
3.0ms	im	@	inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (cos im) im (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* 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 (* (+ (sinh re) (cosh re)) (cos im)) (exp re))
3.0ms	re	@	-inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (cos im) im (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* 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 (* (+ (sinh re) (cosh re)) (cos im)) (exp re))
3.0ms	im	@	-inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (cos im) im (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* 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 (* (+ (sinh re) (cosh re)) (cos im)) (exp re))
1.0ms	im	@	0	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (cos im) im (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* 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 (* (+ (sinh re) (cosh re)) (cos im)) (exp re))

rewrite227.0ms (5.7%)

Memory

35.7MiB live, 267.8MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	2097
0	340	1947
1	1645	1893
0	8354	1827

Stop Event

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

Counts

129 → 318

Calls

Call 1

Inputs
(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re)) (cos.f64 im))
(+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re))
#s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cosh.f64 re)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (cos im) #s(literal 1 binary64))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(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)
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (exp.f64 re))
(exp.f64 re)
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* 1/120 (pow re 5))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* 1/120 (pow re 4))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* 1/120 (pow re 2))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* (pow re 2) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow re 2))) (pow re 2))) 1/120)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 (* (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 (+ (* (* 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 (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 (cos.f64 im) (+.f64 (cosh.f64 re) #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))))
(.f64 (+.f64 (cosh.f64 re) #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))) (cos.f64 im))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (pow.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(literal 2 binary64))) (-.f64 (cosh.f64 re) #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(literal 2 binary64)) (.f64 (cosh.f64 re) #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) (cosh.f64 re))))))
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#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 re #s(literal -4 binary64))) #s(literal 1/120 binary64)) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* re re)) 1/6) (.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (.f64 re re)))
#s(approx (cosh re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (neg.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 re #s(literal -4 binary64)))) #s(literal 1/120 binary64)) (pow.f64 re #s(literal 5 binary64)))))
#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (.f64 im im))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (.f64 im im))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #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 (* (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 (+ (* (* 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 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) (.f64 im im) #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 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #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 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (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)))

eval54.0ms (1.4%)

Memory: -19.5MiB live, 128.9MiB allocated; 19ms collecting garbage
Compiler: Compiled 12 672 to 1 952 computations (84.6% saved)

prune26.0ms (0.6%)

Memory

15.9MiB live, 60.7MiB allocated; 5ms collecting garbage

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	393	9	402
Fresh	1	11	12
Picked	3	2	5
Done	1	4	5
Total	398	26	424

Accuracy

100.0%

Counts

424 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.8%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (cos.f64 im))
	69.4%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (cos.f64 im))
	69.2%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 im))
	56.1%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	65.9%	(*.f64 #s(approx (+ (sinh re) (cosh 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))
✓	63.0%	(*.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))
	32.2%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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))))
	31.8%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	31.2%	(.f64 #s(approx (exp re) (/.f64 (-.f64 (.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	51.9%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
	26.9%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	28.4%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	10.3%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	25.2%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) #s(literal 1 binary64))))
	6.8%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	67.7%	#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (exp.f64 re))
	65.9%	#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)))
✓	63.0%	#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)))
✓	50.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	33.4%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	23.7%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (.f64 im im)))))
	26.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
▶	26.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
	26.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	24.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	24.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))

Compiler

Compiled 1 068 to 722 computations (32.4% saved)

series29.0ms (0.7%)

Memory

7.4MiB live, 54.3MiB allocated; 3ms collecting garbage

Counts

49 → 170

Calls

Call 1

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

Outputs
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow re 2)))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow re 2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1/2 (* -1/4 (pow im 2)))))))))))
#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 (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) re)) (* -1/2 (pow im 2)))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* -1/4 (* (pow im 2) re)))))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (- (* -1/2 re) 1/2)))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (- (* re (- (* -1/4 re) 1/2)) 1/2)))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* -1/2 re)))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* re (- (* -1/4 re) 1/2))))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* 1/120 (pow re 5))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* 1/120 (pow re 4))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* 1/120 (pow re 2))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* (pow re 2) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* 1/720 (pow re 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (+ 1/720 (* 1/24 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (+ 1/720 (+ (/ 1/2 (pow re 4)) (* 1/24 (/ 1 (pow re 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (+ 1/720 (+ (/ 1/2 (pow re 4)) (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))))))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (* 1/720 (pow re 4))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (+ 1/720 (* 1/24 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (+ 1/720 (+ (/ 1/2 (pow re 4)) (* 1/24 (/ 1 (pow re 2))))))))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 (* 1/720 (pow re 2))))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 (* (pow re 2) (+ 1/720 (* 1/24 (/ 1 (pow re 2)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (* -1/4 (pow im 2))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/4 (pow im 2)) (/ 1 re)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/4 (pow im 2)) (+ (/ 1 re) (/ 1 (pow re 2))))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* -1/4 (* (pow im 2) (pow re 2)))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (* -1/4 (pow im 2))))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* -1/4 (pow im 2)))))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (* -1 (* (pow re 2) (+ 1/4 (* 1/2 (/ 1 re)))))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (* (pow re 2) (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 re))) re)) 1/4))))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* -1 (* (pow re 2) (+ 1/4 (* 1/2 (/ 1 re)))))))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow re 2))) (pow re 2))) 1/120)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1 (/ (- (* 1/2 (pow im 2)) 1) re)) (* -1/4 (pow im 2)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* 1/2 (pow im 2))) 1) re)) (* -1/4 (pow im 2)))))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* 1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2))) re)) (* -1/4 (pow im 2))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 (* (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 (+ (* (* 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -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))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))) 1/2))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	re	@	-inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (+ (* 1/720 (* re re)) 1/24) 1/720 1/24 1/2 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* -1/2 (* (+ (* 1/2 re) 1) re)) (* (+ (* 1/2 re) 1) re))
5.0ms	im	@	inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (+ (* 1/720 (* re re)) 1/24) 1/720 1/24 1/2 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* -1/2 (* (+ (* 1/2 re) 1) re)) (* (+ (* 1/2 re) 1) re))
4.0ms	re	@	inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (+ (* 1/720 (* re re)) 1/24) 1/720 1/24 1/2 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* -1/2 (* (+ (* 1/2 re) 1) re)) (* (+ (* 1/2 re) 1) re))
4.0ms	im	@	-inf	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (+ (* 1/720 (* re re)) 1/24) 1/720 1/24 1/2 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* -1/2 (* (+ (* 1/2 re) 1) re)) (* (+ (* 1/2 re) 1) re))
3.0ms	re	@	0	((* (+ (sinh re) (cosh re)) (cos im)) (+ (sinh re) (cosh re)) (sinh re) (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) (+ (* 1/120 (* re re)) 1/6) 1/120 (* re re) re 1/6 1 (cosh re) (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (+ (* 1/720 (* re re)) 1/24) 1/720 1/24 1/2 (cos im) im (* (exp re) (cos im)) (exp re) (- re -1) -1 (cos im) (+ (* (* im im) -1/2) 1) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (+ (* -1/720 (* im im)) 1/24) (* (* im im) -1/720) -1/720 (* (exp re) (cos im)) (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* -1/2 (* (+ (* 1/2 re) 1) re)) (* (+ (* 1/2 re) 1) re))

rewrite265.0ms (6.6%)

Memory

4.5MiB live, 337.5MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	4432
0	616	4205
1	3264	4147
0	8214	3955

Stop Event

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

Counts

219 → 419

Calls

Call 1

Inputs
(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (cos.f64 im))
(+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
#s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(cos.f64 im)
im
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) #s(literal 1 binary64))))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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 (cos im) (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)
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (.f64 im im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (.f64 im im))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (.f64 im im)))
(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))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (.f64 im im))
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 1))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 re)))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow re 2)))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow re 2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1/2 (* -1/4 (pow im 2)))))))))))
#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 (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) re)) (* -1/2 (pow im 2)))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* -1/4 (* (pow im 2) re)))))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (- (* -1/2 re) 1/2)))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (- (* re (- (* -1/4 re) 1/2)) 1/2)))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* -1/2 re)))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* re (- (* -1/4 re) 1/2))))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (* (cos im) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (sinh re) (cosh re)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* 1/120 (pow re 5))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* (pow re 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* 1/120 (pow re 4))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) #s(hole binary64 (* (pow re 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* 1/120 (pow re 2))))
#s(approx (+ (* 1/120 (* re re)) 1/6) #s(hole binary64 (* (pow re 2) (+ 1/120 (* 1/6 (/ 1 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* 1/720 (pow re 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (+ 1/720 (* 1/24 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (+ 1/720 (+ (/ 1/2 (pow re 4)) (* 1/24 (/ 1 (pow re 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 6) (+ 1/720 (+ (/ 1/2 (pow re 4)) (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))))))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (* 1/720 (pow re 4))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (+ 1/720 (* 1/24 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/720 (* re re)) 1/24) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (+ 1/720 (+ (/ 1/2 (pow re 4)) (* 1/24 (/ 1 (pow re 2))))))))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 (* 1/720 (pow re 2))))
#s(approx (+ (* 1/720 (* re re)) 1/24) #s(hole binary64 (* (pow re 2) (+ 1/720 (* 1/24 (/ 1 (pow re 2)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* 1/2 (* (pow re 2) (cos im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (* -1/4 (pow im 2))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/4 (pow im 2)) (/ 1 re)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/4 (pow im 2)) (+ (/ 1 re) (/ 1 (pow re 2))))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* -1/4 (* (pow im 2) (pow re 2)))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (* -1/4 (pow im 2))))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* -1/4 (pow im 2)))))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (* -1 (* (pow re 2) (+ 1/4 (* 1/2 (/ 1 re)))))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) #s(hole binary64 (* (pow re 2) (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 re))) re)) 1/4))))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) #s(hole binary64 (* -1 (* (pow re 2) (+ 1/4 (* 1/2 (/ 1 re)))))))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (* (+ (* 1/2 re) 1) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow re 2))) (pow re 2))) 1/120)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1 (/ (- (* 1/2 (pow im 2)) 1) re)) (* -1/4 (pow im 2)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* 1/2 (pow im 2))) 1) re)) (* -1/4 (pow im 2)))))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* 1/2 (/ (pow im 2) re)) (* 1/2 (pow im 2))) re)) (* -1/4 (pow im 2))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* -1/2 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* 1/24 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (* (+ (sinh re) (cosh re)) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/2 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (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 (* (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 (+ (* (* 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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (* 1/24 (* re (+ 1 (* 1/2 re))))))) 1/2))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/24 (+ (* 1/24 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/720 (* re (+ 1 (* 1/2 re)))) 1/720)))))) 1/2))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) #s(hole binary64 (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -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))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(hole binary64 (+ (cos im) (* re (* (cos im) (+ 1 (* 1/2 re)))))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow im 2) (- (* -1/2 (* re (+ 1 (* 1/2 re)))) 1/2))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) #s(hole binary64 (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* 1/2 re)))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))) 1/2))))

Outputs
(.f64 (cos.f64 im) (+.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
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#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (.f64 #s(literal -1/4 binary64) (.f64 re re)))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64)) (.f64 re re))))
#s(approx (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re)) #s(literal 1/4 binary64)) (.f64 re re)))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) (.f64 #s(literal -1/4 binary64) (.f64 re re)))
#s(approx (* -1/2 (* (+ (* 1/2 re) 1) re)) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64)) (.f64 re re))))
#s(approx (* (+ (* 1/2 re) 1) re) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 re) 1) re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (* (+ (* (+ (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (neg.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 re #s(literal -4 binary64)))) #s(literal 1/120 binary64)) (pow.f64 re #s(literal 5 binary64)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 im) re) #s(literal -1 binary64) (neg.f64 (cos.f64 im))) re))) (.f64 re re)))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 im im) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re))) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 im im) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re))) #s(literal 1 binary64)) re))) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 im im) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 im im) re) (.f64 im im))) re))) (.f64 re re)))
#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (.f64 im im))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -1/2 binary64))) (.f64 im im))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#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 (exp.f64 re) #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 (+ (* (* 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 (.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/720 binary64) 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) #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 (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (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) (cos im)) re) (cos im)) (fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (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) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) re (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (.f64 im im))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) re (.f64 (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/24 binary64) #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/720 binary64)) #s(literal 1/720 binary64)) (.f64 im im))) (.f64 im im))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (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) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (.f64 (.f64 im im) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (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)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (*.f64 (cos.f64 im) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (.f64 (.f64 im im) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) re (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 im im))) #s(literal 1/2 binary64)) (.f64 im im)))

eval133.0ms (3.3%)

Memory: 24.9MiB live, 235.6MiB allocated; 91ms collecting garbage
Compiler: Compiled 27 201 to 3 033 computations (88.8% saved)

prune71.0ms (1.8%)

Memory

-4.4MiB live, 106.2MiB allocated; 42ms collecting garbage

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	613	15	628
Fresh	5	10	15
Picked	3	2	5
Done	0	6	6
Total	621	33	654

Accuracy

100.0%

Counts

654 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.8%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (cos.f64 im))
	36.3%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	38.6%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (cos im) #s(literal 1 binary64)))
	69.4%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (cos.f64 im))
	69.2%	(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 im))
	65.9%	(*.f64 #s(approx (+ (sinh re) (cosh 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))
✓	63.0%	(*.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))
	32.2%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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))))
✓	51.9%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
	26.9%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	28.4%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	25.2%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) #s(literal 1 binary64))))
	24.8%	(.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	6.8%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	10.5%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	3.6%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) #s(literal 1 binary64))))
	9.8%	(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	67.7%	#s(approx (* (+ (sinh re) (cosh re)) (cos im)) (exp.f64 re))
	65.9%	#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)))
✓	63.0%	#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)))
✓	50.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	33.4%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
	13.2%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 #s(approx (- ( -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) re)) #s(literal 1/4 binary64)) (.f64 re re))) (*.f64 im im)))))
	24.1%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 #s(approx (- ( -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64)) (.f64 re re)))) (*.f64 im im)))))
	23.3%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(approx (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im)) (.f64 (fma.f64 (/.f64 (.f64 im im) re) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 im im))) (*.f64 re re))))))
	3.6%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (+.f64 #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/2 binary64)) (*.f64 im im)))))
	24.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	11.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 re re)))))
	20.6%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) re (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 im im))) #s(literal 1/2 binary64)) (.f64 im im)))))
	6.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) #s(approx (+ (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (* -1/2 (* (+ (* 1/2 re) 1) re)) 1/2) (* im im))) (.f64 (.f64 im im) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
	26.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	26.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64)))) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
✓	24.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))

Compiler

Compiled 2 405 to 878 computations (63.5% saved)

regimes63.0ms (1.6%)

Memory

5.4MiB live, 97.8MiB allocated; 5ms collecting garbage

Counts

49 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	im
12.0ms	re
12.0ms	(cos.f64 im)
12.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes104.0ms (2.6%)

Memory

-12.0MiB live, 92.4MiB allocated; 60ms collecting garbage

Counts

44 → 2

Calls

Call 1

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

Outputs

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

(*.f64 (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (cos.f64 im))

Calls

5 calls:

56.0ms	im
16.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
11.0ms	re
11.0ms	(cos.f64 im)
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
84.6%	2	`(cos.f64 im)`
96.6%	2	`(exp.f64 re)`
98.9%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
96.6%	2	`re`
85.2%	3	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes23.0ms (0.6%)

Memory

-14.9MiB live, 31.4MiB allocated; 2ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

Outputs

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

(*.f64 (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (cos.f64 im))

Calls

2 calls:

12.0ms	re
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
96.2%	2	`(exp.f64 re)`
96.2%	2	`re`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.6%)

Memory

-13.7MiB live, 32.2MiB allocated; 3ms collecting garbage

Counts

42 → 2

Calls

Call 1

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

Outputs

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

(*.f64 (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 im))

Calls

2 calls:

12.0ms	re
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
96.0%	2	`re`
96.0%	2	`(exp.f64 re)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes32.0ms (0.8%)

Memory

-7.8MiB live, 42.2MiB allocated; 4ms collecting garbage

Counts

41 → 4

Calls

Call 1

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

Calls

3 calls:

11.0ms	re
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.2%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
94.6%	3	`(exp.f64 re)`
98.2%	4	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.5%)

Memory

31.0MiB live, 31.0MiB allocated; 0ms collecting garbage

Counts

39 → 5

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.1%	4	`re`
99.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes11.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

38 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.0%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes21.0ms (0.5%)

Memory

-18.3MiB live, 28.1MiB allocated; 3ms collecting garbage

Counts

36 → 5

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.1%	3	`re`
98.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes10.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

35 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
97.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes56.0ms (1.4%)

Memory

-35.0MiB live, 57.4MiB allocated; 6ms collecting garbage

Counts

33 → 5

Calls

Call 1

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

Outputs
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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))
(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (cos im) #s(literal 1 binary64)))

Calls

5 calls:

22.0ms	im
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms	re
8.0ms	(cos.f64 im)
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
60.8%	2	`im`
60.8%	2	`(cos.f64 im)`
69.7%	3	`re`
69.7%	3	`(exp.f64 re)`
74.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes46.0ms (1.2%)

Memory

-3.6MiB live, 45.8MiB allocated; 5ms collecting garbage

Counts

32 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (+.f64 #s(approx (sinh re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (cos im) #s(literal 1 binary64)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
38.6%	1	`im`
43.7%	2	`(cos.f64 im)`
44.3%	2	`(exp.f64 re)`
44.3%	2	`re`
49.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes30.0ms (0.8%)

Memory

34.5MiB live, 34.5MiB allocated; 0ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.3%	2	`(cos.f64 im)`
38.6%	2	`(exp.f64 re)`
42.3%	4	`re`
43.7%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
42.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-39.2MiB live, 6.7MiB allocated; 2ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
41.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
41.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.3%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
36.3%	2	`(cos.f64 im)`
33.4%	1	`(exp.f64 re)`
33.4%	1	`re`
33.4%	1	`im`
36.4%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes27.0ms (0.7%)

Memory

-25.9MiB live, 19.5MiB allocated; 5ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

19.0ms	im
2.0ms	re
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
25.2%	1	`im`
27.2%	2	`re`
27.2%	2	`(exp.f64 re)`
28.0%	2	`(cos.f64 im)`
28.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

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
25.2%	1	`(exp.f64 re)`
25.2%	1	`re`
25.2%	1	`(cos.f64 im)`
25.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Accuracy

Total -14.1b remaining (-29.4%)

Threshold costs -14.1b (-29.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
24.9%	1	`im`
24.9%	1	`re`
24.9%	1	`(exp.f64 re)`
24.9%	1	`(cos.f64 im)`
24.9%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch20.0ms (0.5%)

Memory

-16.3MiB live, 30.6MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1201.2997764627141	-0.013067351132692803

Samples

10.0ms

144×

valid

Compiler

Compiled 431 to 289 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 3.0ms (47.2% of total)

ival-exp: 2.0ms (31.5% of total)

ival-mult: 1.0ms (15.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9870176560244739

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9870176560244739

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999988899827654	0.9999999999999997
0.0ms	0.0	0.07049347244667023
0.0ms	-0.033860307046289735	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999988899827654	0.9999999999999997
0.0ms	0.0	0.07049347244667023
0.0ms	-0.033860307046289735	0.0
0.0ms	-inf	-0.9998784604040163

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999988899827654	0.9999999999999997
0.0ms	0.0	0.07049347244667023
0.0ms	-0.033860307046289735	0.0
0.0ms	-inf	-0.9998784604040163

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	0.9999988899827654	0.9999999999999997
0.0ms	0.0	0.07049347244667023
0.0ms	-0.033860307046289735	0.0
0.0ms	-inf	-0.9998784604040163

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	0.9999955399224737	0.9999971090907548
0.0ms	0.0	0.07049347244667023
0.0ms	-0.033860307046289735	0.0
0.0ms	-inf	-0.9998784604040163

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	0.9999955399224737	0.9999971090907548
0.0ms	0.0	0.07049347244667023
0.0ms	-0.033860307046289735	0.0
0.0ms	-inf	-0.9998784604040163

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.07049347244667023
0.0ms	-inf	-0.9998784604040163

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.07049347244667023
0.0ms	-inf	-0.9998784604040163

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.07049347244667023

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	0.07049347244667023

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	0.07049347244667023

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.07049347244667023

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.07049347244667023

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify53.0ms (1.3%)

Memory

-7.2MiB live, 90.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1198
1	176	1148
2	280	1143
3	652	1143
4	2986	1143

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (cos.f64 im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (cos.f64 im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 im)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 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)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (cos im) #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 -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (cos im) #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 -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 -5764607523034235/288230376151711744 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007163225943973/9007199254740992 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 -5764607523034235/288230376151711744 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 (cos im) #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 9007163225943973/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (cos im) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (cos im) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #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) re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #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 (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) #s(approx (* (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (cos.f64 im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (cos.f64 im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (.f64 (+.f64 #s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 im)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 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)))))
(if (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (cos im) #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 -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 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))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (cos im) #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 -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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) (exp.f64 re)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (if (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 binary64)))))) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 -5764607523034235/288230376151711744 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 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007190247541737/9007199254740992 binary64)))))) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (-.f64 (.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 (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007163225943973/9007199254740992 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 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (* (+ (* 1/2 re) 1) (cos im)) re) (cos im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(literal 1 binary64)))

derivations599.0ms (15%)

Memory

-26.0MiB live, 508.2MiB allocated; 216ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 148 to 138 computations (88% saved)

preprocess119.0ms (3%)

Memory: 7.1MiB live, 98.9MiB allocated; 11ms collecting garbage
Remove: (abs im)
Compiler: Compiled 2 326 to 306 computations (86.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (29.6%)

explain67.0ms (1.7%)

preprocess123.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.1%)

rewrite156.0ms (3.9%)

eval8.0ms (0.2%)

prune6.0ms (0.1%)

series26.0ms (0.7%)

rewrite221.0ms (5.5%)

eval47.0ms (1.2%)

prune23.0ms (0.6%)

series21.0ms (0.5%)

rewrite227.0ms (5.7%)

eval54.0ms (1.4%)

prune26.0ms (0.6%)

series29.0ms (0.7%)

rewrite265.0ms (6.6%)

eval133.0ms (3.3%)

prune71.0ms (1.8%)

regimes63.0ms (1.6%)

regimes104.0ms (2.6%)

regimes23.0ms (0.6%)

regimes22.0ms (0.6%)

regimes32.0ms (0.8%)

regimes21.0ms (0.5%)

regimes11.0ms (0.3%)

regimes21.0ms (0.5%)

regimes10.0ms (0.2%)

regimes56.0ms (1.4%)

regimes46.0ms (1.2%)

regimes30.0ms (0.8%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes12.0ms (0.3%)

regimes27.0ms (0.7%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch20.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

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bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify53.0ms (1.3%)

derivations599.0ms (15%)

preprocess119.0ms (3%)

end0.0ms (0%)

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