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

0.4MiB live, 0.4MiB 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)

sample860.0ms (29.9%)

Memory

72.6MiB live, 1 326.3MiB allocated; 273ms collecting garbage

Samples

640.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-cos: 242.0ms (54.3% of total)

ival-exp: 144.0ms (32.3% of total)

ival-mult!: 58.0ms (13% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess33.0ms (1.2%)

Memory

-9.2MiB live, 34.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	138	32
3	417	32
4	1629	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB 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)
0.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite232.0ms (8.1%)

Memory

-32.2MiB live, 124.4MiB allocated; 82ms 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
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im) (.f64 (.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 im im) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re) (.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) im) im) im) im)))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (cos im) (cos.f64 im))

eval4.0ms (0.1%)

Memory: 5.9MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 258 to 137 computations (46.9% saved)

prune4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Accuracy

100.0%

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	64.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	60.8%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	48.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	72.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	47.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 111 to 109 computations (1.8% saved)

series22.0ms (0.8%)

Memory

-7.7MiB live, 36.6MiB allocated; 6ms collecting garbage

Counts

21 → 77

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite186.0ms (6.5%)

Memory

4.3MiB live, 276.7MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	1679
0	347	1541
1	2111	1447
0	8203	1363

Stop Event

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

Counts

98 → 174

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im))))))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))) (/.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))) (/.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))))))
(+.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(*.f64 (cosh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (cosh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
re
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
(*.f64 (sinh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (sinh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
(.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cos.f64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 re re) re) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1 binary64))))))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cos.f64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im)) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (cosh re) (cos im)) (cos.f64 im))
#s(approx (* (cosh re) (cos im)) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (cos.f64 im) (cos.f64 im)))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) (cos.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (.f64 re re) (cos.f64 im)))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 re re)) (cos.f64 im) (.f64 #s(literal 1/24 binary64) (cos.f64 im))) (.f64 re re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (.f64 re re) (cos.f64 im)))
#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 re re)
#s(approx (* (sinh re) (cos im)) (*.f64 (cos.f64 im) re))
#s(approx (* (sinh re) (cos im)) (.f64 (fma.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) (cos.f64 im) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) (cos.f64 im) (.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 re re) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 re re)) (cos.f64 im) (.f64 #s(literal 1/120 binary64) (cos.f64 im))) (.f64 re re) (.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 re re) (cos.f64 im)) re))
#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 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cos.f64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im)) (cos.f64 im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (* (cosh re) (cos im)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))
#s(approx (cosh re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (.f64 (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 1/2 binary64)))
#s(approx (sinh re) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh 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 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im))) (.f64 im im))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal -1/1440 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im))) (.f64 im im))) (*.f64 im im))))
#s(approx (* (cosh re) (cos im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (cosh re) (cos im)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re)))) (.f64 im im) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 1/48 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re)))) (.f64 im im) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re)))) (.f64 im im) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#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) (cos im)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 #s(literal 1/48 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (exp.f64 re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh 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 (+ (* (cosh re) (cos im)) (* (sinh 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 (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))

eval20.0ms (0.7%)

Memory: -9.7MiB live, 36.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 877 to 720 computations (61.6% saved)

prune8.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	173	9	182
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	175	14	189

Accuracy

100.0%

Counts

189 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	26.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	60.8%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	29.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	27.6%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	48.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	3.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) #s(approx (- re -1) re)))
✓	72.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	47.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	26.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
	48.0%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
▶	35.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	26.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 277 to 265 computations (4.3% saved)

series16.0ms (0.6%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

30 → 100

Calls

Call 1

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

Outputs
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* (pow re 2) (cos im))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (cos im))) (* 1/2 (cos im)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/2 (cos im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (cos im))) (* 1/24 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#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 re) 1/6) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (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 (+ (* (+ (* 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 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* (pow re 3) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (/ 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 (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/48 (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (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 (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#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 (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	re	@	inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (cosh re) (cos im)) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) 1/6 1 (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
3.0ms	re	@	-inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (cosh re) (cos im)) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) 1/6 1 (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
2.0ms	im	@	-inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (cosh re) (cos im)) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) 1/6 1 (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
2.0ms	im	@	inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (cosh re) (cos im)) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) 1/6 1 (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
2.0ms	re	@	0	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (* (cosh re) (cos im)) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) 1/6 1 (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))

rewrite186.0ms (6.5%)

Memory

1.6MiB live, 188.3MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	2051
0	402	1896
1	2317	1796
0	8904	1712

Stop Event

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

Counts

130 → 278

Calls

Call 1

Inputs
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (cos.f64 im)))
(*.f64 (cosh.f64 re) (cos.f64 im))
(cosh.f64 re)
re
(cos.f64 im)
im
(.f64 #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (cos.f64 im))
#s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 re re)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (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 #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)
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) #s(approx (- re -1) re)))
(*.f64 (cos.f64 im) #s(approx (- re -1) re))
#s(approx (- re -1) re)
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* (pow re 2) (cos im))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (cos im))) (* 1/2 (cos im)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/2 (cos im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (cos im))) (* 1/24 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (cos im))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* 1/6 (* (pow re 2) (cos im)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (cos im))) (* 1/6 (cos im))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* re (+ (cos im) (* (pow re 2) (+ (* 1/6 (cos im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (cos im))) (* 1/120 (cos im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#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 re) 1/6) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (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 (+ (* (+ (* 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 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* (pow re 3) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (/ 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 (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/48 (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (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 (* (sinh re) (cos im)) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (sinh re) (cos im)) #s(hole binary64 (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#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 (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))

Outputs
(.f64 (cos.f64 im) (+.f64 (cosh.f64 re) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (*.f64 (cosh.f64 re) (cos.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))))))
(fma.f64 (cosh.f64 re) (cos.f64 im) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(fma.f64 (cos.f64 im) (cosh.f64 re) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(fma.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))) (/.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (neg.f64 #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))) (/.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(+.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (cosh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (cosh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
re
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
(.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (cos.f64 im))
#s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)
(.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re)) (.f64 (.f64 #s(literal 1 binary64) re) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (-.f64 (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64))) (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64)))) (.f64 (.f64 re #s(literal 1 binary64)) (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64)))))))
(fma.f64 #s(literal 1 binary64) re (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))
(fma.f64 re #s(literal 1 binary64) (.f64 re (.f64 (*.f64 re re) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) re) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) (*.f64 #s(approx (- re -1) re) (cos.f64 im)))
(*.f64 #s(approx (- re -1) re) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (- re -1) re))
#s(approx (- re -1) re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 (.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (cosh re) (cos im)) (cos.f64 im))
#s(approx (* (cosh re) (cos im)) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (cos.f64 im) (cos.f64 im)))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) (cos.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (.f64 re re) (cos.f64 im)))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 re re)) (cos.f64 im) (.f64 #s(literal 1/24 binary64) (cos.f64 im))) (.f64 re re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (.f64 re re) (cos.f64 im)))
#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 re re)
#s(approx (* (sinh re) (cos im)) (*.f64 (cos.f64 im) re))
#s(approx (* (sinh re) (cos im)) (.f64 (fma.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) (cos.f64 im) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) (cos.f64 im) (.f64 (cos.f64 im) #s(literal 1/6 binary64))) (*.f64 re re) (cos.f64 im)) re))
#s(approx (* (sinh re) (cos im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 re re)) (cos.f64 im) (.f64 #s(literal 1/120 binary64) (cos.f64 im))) (.f64 re re) (.f64 (cos.f64 im) #s(literal 1/6 binary64))) (*.f64 re re) (cos.f64 im)) re))
#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) 1/6) 1) re) re)
#s(approx (* (+ (* (* re re) 1/6) 1) re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (+ (* (* re re) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* re re) 1/6) 1) (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 (.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 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 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (cos.f64 im))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (- re -1) #s(literal 1 binary64))
#s(approx (- re -1) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (* (cosh re) (cos im)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))
#s(approx (cosh re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (.f64 (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 1/2 binary64)))
#s(approx (sinh re) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* re re) 1/6) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* re re) 1/6) 1) re) (fma.f64 (.f64 (.f64 re re) re) #s(literal 1/6 binary64) re))
#s(approx (+ (* (* re re) 1/6) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))
#s(approx (+ (* (* re re) 1/6) 1) (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 re re))) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (exp re) (cos im)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im))) (.f64 im im))))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (fma.f64 #s(literal 1/48 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re))) (.f64 (.f64 #s(literal -1/1440 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im))) (.f64 im im))) (*.f64 im im))))
#s(approx (* (cosh re) (cos im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (cosh re) (cos im)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re)))) (.f64 im im) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (cosh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 1/48 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re)))) (.f64 im im) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re)))) (.f64 im im) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))))
#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) (cos im)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (sinh re) (cos im)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (sinh re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 #s(literal 1/48 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) (.f64 im im) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))))
#s(approx (* (exp re) (cos im)) (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 (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))

eval27.0ms (0.9%)

Memory: 8.2MiB live, 54.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 906 to 1 241 computations (57.3% saved)

prune68.0ms (2.3%)

Memory

-29.2MiB live, 24.3MiB allocated; 74ms collecting garbage

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	239	9	248
Fresh	1	4	5
Picked	2	3	5
Done	0	4	4
Total	242	20	262

Accuracy

100.0%

Counts

262 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(fma.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (cosh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	26.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	60.8%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	8.4%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	27.6%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	48.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	3.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) #s(approx (- re -1) re)))
▶	9.0%	#s(approx (* (exp re) (cos im)) (.f64 #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 (- re -1) re)))
	7.8%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (- re -1) re)))
	3.4%	#s(approx (* (exp re) (cos im)) (*.f64 #s(approx (cos im) #s(literal 1 binary64)) #s(approx (- re -1) re)))
✓	72.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	47.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	26.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
	48.0%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
✓	35.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	12.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
	23.0%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 re re))) (*.f64 re re)))))
	12.4%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))
✓	26.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 485 to 455 computations (6.2% saved)

series22.0ms (0.8%)

Memory

-15.6MiB live, 33.4MiB allocated; 7ms collecting garbage

Counts

37 → 114

Calls

Call 1

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

Outputs
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cos im) (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) #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 re) 1/6) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* (pow re 2) (cos im))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (cos im))) (* 1/2 (cos im)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/2 (cos im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (cos im))) (* 1/24 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* (pow re 3) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cos im) (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 (+ (* (cos im) (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) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cos im) (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) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cos im) (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) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (cos im) #s(hole binary64 1))
#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 (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/48 (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* im im) -1/2) 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 (cos im) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* 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
8.0ms	im	@	inf	((+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) (cos im) im (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) re 1/6 1 (* (cosh re) (cos im)) (cosh re) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (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 (- re -1))
3.0ms	im	@	-inf	((+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) (cos im) im (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) re 1/6 1 (* (cosh re) (cos im)) (cosh re) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (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 (- re -1))
3.0ms	re	@	-inf	((+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) (cos im) im (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) re 1/6 1 (* (cosh re) (cos im)) (cosh re) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (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 (- re -1))
3.0ms	re	@	inf	((+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) (cos im) im (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) re 1/6 1 (* (cosh re) (cos im)) (cosh re) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (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 (- re -1))
1.0ms	re	@	0	((+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) (cos im) im (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) (* re re) re 1/6 1 (* (cosh re) (cos im)) (cosh re) (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* im im) -1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (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 (- re -1))

rewrite185.0ms (6.4%)

Memory

18.3MiB live, 199.4MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	2497
0	429	2394
1	2282	2315
0	8723	2202

Stop Event

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

Counts

151 → 311

Calls

Call 1

Inputs
(fma.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(cos.f64 im)
im
#s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (cosh.f64 re) (cos.f64 im))
(cosh.f64 re)
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(exp.f64 re)
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(approx (* (exp re) (cos im)) (.f64 #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 (- re -1) re)))
(.f64 #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 (- re -1) re))
#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(approx (- re -1) re)
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (cos im)))
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (+ (* (cos im) (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) #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 re) 1/6) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* 1/2 (* (pow re 2) (cos im))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (cos im))) (* 1/2 (cos im)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (cos im) (* (pow re 2) (+ (* 1/2 (cos im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (cos im))) (* 1/24 (cos im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (cos im) (sinh re)) (* (cosh re) (cos im))) #s(hole binary64 (+ (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (cos im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* (pow re 3) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (* (cos im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (+ (* (cos im) (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 (+ (* (cos im) (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) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* -1/4 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (+ (* (cos im) (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) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (- (exp re) (/ 1 (exp re)))))))))))))
#s(approx (+ (* (cos im) (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) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/4 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/48 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/48 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (+ (exp re) (/ 1 (exp re)))) (* -1/1440 (- (exp re) (/ 1 (exp re))))))))))))))))
#s(approx (cos im) #s(hole binary64 1))
#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 (* (cosh re) (cos im)) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* -1/4 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* 1/48 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))))))))
#s(approx (* (cosh re) (cos im)) #s(hole binary64 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/4 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/1440 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/48 (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (+ (* (* im im) -1/2) 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 (cos im) #s(hole binary64 (cos im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* 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 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (*.f64 (cosh.f64 re) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (*.f64 (cosh.f64 re) (cos.f64 im))))))
(fma.f64 (cosh.f64 re) (cos.f64 im) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(fma.f64 (cos.f64 im) (cosh.f64 re) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(fma.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im)))) (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im)))))
(-.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (neg.f64 (cosh.f64 re)) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im)))))) (/.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im)))))))
(+.f64 (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
#s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)
(.f64 re (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re)) (.f64 (.f64 #s(literal 1 binary64) re) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (-.f64 (.f64 (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64))) (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64)))) (.f64 (.f64 re #s(literal 1 binary64)) (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64)))))))
(fma.f64 #s(literal 1 binary64) re (.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))
(fma.f64 re #s(literal 1 binary64) (.f64 re (.f64 (*.f64 re re) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) re) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) re))
(+.f64 (.f64 re #s(literal 1 binary64)) (.f64 re (.f64 (.f64 re re) #s(literal 1/6 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))
(.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 re re) re)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 re re) re))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 re re) re)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 re (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal 1/6 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 re re)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/6 binary64)))))) (/.f64 (.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 re re) re))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/6 binary64)))))))
(+.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (cosh.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (cosh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 (.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) (.f64 re #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))) (/.f64 (.f64 (.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (.f64 re re))
(.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 re re) re (.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) re)))) (fma.f64 re re (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 re (.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 re re))) (neg.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) re)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) re)) (.f64 (.f64 re re) re))) (neg.f64 (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) re)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 re re)) (-.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) re))
(/.f64 (fma.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) re)) (.f64 (.f64 re re) re)) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) re))))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)
(fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re)
(-.f64 (/.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) re)) (/.f64 (.f64 re re) (-.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) re)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 re re) re) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) re)))) (/.f64 (.f64 (.f64 re re) re) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) re)))))
(+.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) re)
(+.f64 re (.f64 (.f64 re re) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
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(fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
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(-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 im im)))
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(+.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
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#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
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#s(approx (sinh re) re)
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#s(approx (* re re) (*.f64 re re))
#s(approx re re)
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#s(approx (* (cos im) (- re -1)) (cos.f64 im))
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#s(approx (+ 1 re) #s(literal 1 binary64))
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#s(approx (+ (* (* re re) 1/2) re) re)
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#s(approx (- re -1) #s(literal 1 binary64))
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#s(approx (cos im) #s(literal 1 binary64))
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#s(approx im im)
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#s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re))
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#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
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#s(approx (cos im) (cos.f64 im))
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#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 im im) (.f64 im im))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #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 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (*.f64 im im)))

eval37.0ms (1.3%)

Memory: 33.2MiB live, 78.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 099 to 1 636 computations (60.1% saved)

prune23.0ms (0.8%)

Memory

-3.9MiB live, 40.2MiB allocated; 14ms collecting garbage

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	295	6	301
Fresh	1	7	8
Picked	1	4	5
Done	0	7	7
Total	297	24	321

Accuracy

100.0%

Counts

321 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.1%	(fma.f64 (cos.f64 im) #s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (cosh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	26.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	60.8%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	8.4%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	27.6%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	48.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	3.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) #s(approx (- re -1) re)))
	7.8%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (- re -1) re)))
	9.0%	#s(approx (* (exp re) (cos im)) (.f64 #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 (- re -1) re)))
	9.0%	#s(approx (* (exp re) (cos im)) (.f64 #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 (- re -1) re)))
	9.0%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 #s(approx (- ( (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/720 binary64))) (*.f64 im im) #s(literal 1 binary64))) #s(approx (- re -1) re)))
	16.7%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) #s(approx (+ ( (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))) #s(approx (- re -1) re)))
✓	72.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	47.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	26.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
	48.0%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
	3.4%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (+ 1 re) re)))
✓	35.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
✓	12.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
	12.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (.f64 re re)))))
	23.0%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 re re))) (*.f64 re re)))))
	12.4%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))
✓	26.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 636 to 518 computations (18.6% saved)

regimes97.0ms (3.4%)

Memory

-39.8MiB live, 65.8MiB allocated; 13ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

54.0ms	im
20.0ms	(cos.f64 im)
8.0ms	re
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(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)

regimes46.0ms (1.6%)

Memory

2.2MiB live, 46.8MiB allocated; 7ms collecting garbage

Counts

26 → 5

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(cos.f64 im)
7.0ms	im
7.0ms	re
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
85.6%	2	`(cos.f64 im)`
94.0%	3	`(exp.f64 re)`
99.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
97.2%	4	`re`
83.3%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

25 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

24 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes56.0ms (1.9%)

Memory

10.3MiB live, 56.9MiB allocated; 3ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	re
6.0ms	im
6.0ms	(cos.f64 im)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
72.1%	1	`im`
77.1%	2	`(cos.f64 im)`
72.1%	1	`(exp.f64 re)`
74.8%	2	`re`
78.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.4%)

Memory

-40.6MiB live, 7.9MiB allocated; 13ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
77.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
77.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

12.1MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.1%	1	`(cos.f64 im)`
76.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes11.0ms (0.4%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.1%	1	`(exp.f64 re)`
72.1%	1	`im`
72.1%	1	`re`
72.1%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes14.0ms (0.5%)

Memory

-18.0MiB live, 27.1MiB allocated; 4ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Calls

5 calls:

5.0ms	im
3.0ms	re
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
35.6%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
35.6%	1	`(cos.f64 im)`
35.6%	1	`re`
35.6%	1	`(exp.f64 re)`
35.6%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.4%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
26.6%	1	`(cos.f64 im)`
35.6%	2	`(exp.f64 re)`
35.6%	2	`re`
26.6%	1	`im`
35.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.2%)

Memory

-38.1MiB live, 4.3MiB allocated; 5ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
26.6%	1	`(exp.f64 re)`
26.6%	1	`re`
26.6%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Accuracy

Total -15.0b remaining (-31.8%)

Threshold costs -15b (-31.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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
26.3%	1	`im`
26.3%	1	`(cos.f64 im)`
26.3%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
26.3%	1	`(exp.f64 re)`
26.3%	1	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999951096	1.0
0.0ms	2.360266349585368e-47	0.021690079852086458
0.0ms	-0.13418069283730638	0.0
0.0ms	-inf	-37.421055323503936

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999951096	1.0
0.0ms	2.360266349585368e-47	0.021690079852086458
0.0ms	-0.13418069283730638	0.0
0.0ms	-inf	-37.421055323503936

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999951096	1.0
0.0ms	2.360266349585368e-47	0.021690079852086458
0.0ms	-0.13418069283730638	0.0
0.0ms	-inf	-37.421055323503936

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	-0.13418069283730638	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13418069283730638	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.2677554285915193	-0.24769282498093423

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	-0.13418069283730638	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.005490698332614	4.0941025341536776e+45

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	1.005490698332614	4.0941025341536776e+45

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations459.0ms (16%)

Memory

-20.7MiB live, 333.8MiB allocated; 206ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 145 to 93 computations (35.9% saved)

preprocess190.0ms (6.6%)

Memory: 12.1MiB live, 199.3MiB allocated; 33ms collecting garbage
Remove: (abs im)
Compiler: Compiled 788 to 670 computations (15% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample860.0ms (29.9%)

preprocess33.0ms (1.2%)

series4.0ms (0.2%)

rewrite232.0ms (8.1%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

series22.0ms (0.8%)

rewrite186.0ms (6.5%)

eval20.0ms (0.7%)

prune8.0ms (0.3%)

series16.0ms (0.6%)

rewrite186.0ms (6.5%)

eval27.0ms (0.9%)

prune68.0ms (2.3%)

series22.0ms (0.8%)

rewrite185.0ms (6.4%)

eval37.0ms (1.3%)

prune23.0ms (0.8%)

regimes97.0ms (3.4%)

regimes46.0ms (1.6%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes56.0ms (1.9%)

regimes11.0ms (0.4%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes11.0ms (0.4%)

regimes14.0ms (0.5%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations459.0ms (16%)

preprocess190.0ms (6.6%)

end0.0ms (0%)

Profiling