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)

sample927.0ms (28.5%)

Memory

54.6MiB live, 1 398.4MiB allocated; 330ms collecting garbage

Samples

706.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 369.0ms

ival-cos: 230.0ms (62.3% of total)

ival-exp: 92.0ms (24.9% of total)

ival-mult!: 46.0ms (12.5% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess34.0ms (1.1%)

Memory

-15.6MiB live, 31.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	32
2	185	32
3	934	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

5 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite184.0ms (5.7%)

Memory

18.2MiB live, 156.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	282
0	91	281
1	585	270
0	6099	248

Stop Event

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

Counts

26 → 42

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 (cos.f64 im) (cosh.f64 re)) (.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(-.f64 (cosh.f64 re) (neg.f64 (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 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (sin.f64 im) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 im) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 1/2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 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: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 259 to 135 computations (47.9% saved)

prune4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	6	38

Accuracy

100.0%

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
▶	64.4%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	62.6%	#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)))
▶	51.2%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	70.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	50.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 120 to 116 computations (3.3% saved)

series12.0ms (0.4%)

Memory

-23.9MiB live, 18.9MiB allocated; 7ms collecting garbage

Counts

21 → 50

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
1.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
1.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite323.0ms (9.9%)

Memory

10.8MiB live, 220.4MiB allocated; 183ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	852
0	201	829
1	1146	826
0	8063	800

Stop Event

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

Counts

71 → 268

Calls

Call 1

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

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

eval41.0ms (1.3%)

Memory: -35.8MiB live, 65.4MiB allocated; 18ms collecting garbage
Compiler: Compiled 3 312 to 1 251 computations (62.2% saved)

prune9.0ms (0.3%)

Memory

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

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	292	8	300
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	295	11	306

Accuracy

100.0%

Counts

306 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.0%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	30.0%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	28.4%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #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))))
▶	62.4%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
✓	51.2%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	70.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	50.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
▶	37.0%	#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))))
▶	27.7%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 224 to 216 computations (3.6% saved)

series16.0ms (0.5%)

Memory

-14.3MiB live, 32.0MiB allocated; 5ms collecting garbage

Counts

29 → 64

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite271.0ms (8.3%)

Memory

17.5MiB live, 390.4MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	1134
0	237	948
1	1271	941
0	8291	913

Stop Event

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

Counts

93 → 469

Calls

Call 1

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

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

eval83.0ms (2.6%)

Memory: -27.6MiB live, 78.7MiB allocated; 37ms collecting garbage
Compiler: Compiled 4 210 to 1 916 computations (54.5% saved)

prune12.0ms (0.4%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	393	6	399
Fresh	1	2	3
Picked	1	4	5
Done	0	3	3
Total	395	15	410

Accuracy

100.0%

Counts

410 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.0%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	30.0%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	30.0%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	28.4%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #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))))
▶	50.9%	#s(approx (* (exp re) (cos im)) (.f64 (cos.f64 im) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
✓	51.2%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	70.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	50.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (+ (* re re) -1) (- re 1))) (-.f64 re #s(literal -1 binary64))))
✓	37.0%	#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))))
	22.9%	#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) (.f64 re re)) (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)) (*.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)))))
✓	27.7%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 341 to 327 computations (4.1% saved)

series99.0ms (3%)

Memory

3.5MiB live, 96.3MiB allocated; 10ms collecting garbage

Counts

35 → 81

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	im	@	0	((* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (cos im) im (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (- re -1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
40.0ms	im	@	-inf	((* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (cos im) im (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (- re -1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
8.0ms	im	@	inf	((* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (cos im) im (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (- re -1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
2.0ms	re	@	-inf	((* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (cos im) im (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (- re -1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
2.0ms	re	@	inf	((* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (cos im) im (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (* (exp re) (cos im)) (* (cos im) (/ (+ (* re re) -1) (- re 1))) (- re -1) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (+ (* 1/24 (* im im)) -1/2) (* im im)) 1) (+ (* 1/24 (* im im)) -1/2) 1/24 (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)

rewrite199.0ms (6.1%)

Memory

10.7MiB live, 242.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	1526
0	295	1295
1	1518	1284
0	8505	1227

Stop Event

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

Counts

116 → 380

Calls

Call 1

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

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

eval42.0ms (1.3%)

Memory: 13.0MiB live, 111.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 4 240 to 1 722 computations (59.4% saved)

prune18.0ms (0.6%)

Memory

0.3MiB live, 46.1MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	350	6	356
Fresh	0	3	3
Picked	2	3	5
Done	1	6	7
Total	353	18	371

Accuracy

100.0%

Counts

371 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.0%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	30.0%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.4%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (exp (* (log im) 2)) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 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))))
	28.4%	(.f64 #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) #s(literal 1 binary64)))
✓	50.9%	#s(approx (* (exp re) (cos im)) (.f64 (cos.f64 im) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
✓	51.2%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	28.3%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
✓	70.7%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	50.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (+ (* re re) -1) (- re 1))) (-.f64 re #s(literal -1 binary64))))
✓	37.0%	#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 re (*.f64 #s(literal 1/2 binary64) re) re))))
	12.4%	#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)))))
	22.9%	#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) (.f64 re re)) (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)) (*.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)))))
	3.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
✓	27.7%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 459 to 391 computations (14.8% saved)

regimes42.0ms (1.3%)

Memory

-39.5MiB live, 107.1MiB allocated; 12ms collecting garbage

Counts

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

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

Calls

5 calls:

11.0ms	im
9.0ms	re
8.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(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)

regimes34.0ms (1%)

Memory

31.9MiB live, 77.8MiB allocated; 4ms 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (+ (* re re) -1) (- re 1))) (-.f64 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)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) 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) (cos im)) (.f64 #s(approx (cos im) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 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) (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) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (exp (* (log im) 2)) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 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 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 (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#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) (.f64 re re)) (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)) (*.f64 re re)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (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)) (.f64 (cos.f64 im) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))

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

5 calls:

8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	im
7.0ms	re
6.0ms	(cos.f64 im)
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
81.1%	2	`(cos.f64 im)`
96.1%	3	`(exp.f64 re)`
100.0%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
96.1%	3	`re`
80.0%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes10.0ms (0.3%)

Memory

-24.5MiB live, 18.9MiB allocated; 6ms collecting garbage

Counts

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

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

9.0ms

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

Results

Accuracy	Segments	Branch
99.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes49.0ms (1.5%)

Memory

18.6MiB live, 112.2MiB allocated; 37ms collecting garbage

Counts

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

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

Calls

5 calls:

18.0ms	(exp.f64 re)
14.0ms	im
6.0ms	re
6.0ms	(cos.f64 im)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
73.2%	2	`im`
74.9%	2	`(cos.f64 im)`
73.4%	2	`(exp.f64 re)`
74.2%	2	`re`
77.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
75.4%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes17.0ms (0.5%)

Memory

-22.3MiB live, 23.5MiB allocated; 7ms collecting garbage

Counts

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

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

3 calls:

9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	re
3.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
70.7%	1	`re`
70.7%	1	`(cos.f64 im)`
73.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.3%)

Memory

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

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.7%	1	`im`
70.7%	1	`(exp.f64 re)`
70.7%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.5%)

Memory

-17.2MiB live, 29.5MiB allocated; 3ms collecting garbage

Counts

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

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:

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

Results

Accuracy	Segments	Branch
37.0%	1	`im`
37.0%	1	`(cos.f64 im)`
37.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
37.0%	1	`re`
37.0%	1	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

5 calls:

3.0ms	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
38.0%	2	`re`
38.0%	2	`(exp.f64 re)`
28.3%	1	`(cos.f64 im)`
28.3%	1	`im`
38.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes20.0ms (0.6%)

Memory

-34.9MiB live, 14.2MiB allocated; 15ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

15.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
37.1%	2	`re`
37.1%	2	`(exp.f64 re)`
37.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (+ (* re re) -1) (- re 1))) (-.f64 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)))))

Outputs

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

2.0ms

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

Results

Accuracy	Segments	Branch
37.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB 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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (/ (+ (* re re) -1) (- re 1))) (-.f64 re #s(literal -1 binary64))))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

-34.8MiB live, 13.9MiB allocated; 2ms collecting garbage

Accuracy

Total -15.9b remaining (-34.3%)

Threshold costs -15.9b (-34.3%)

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 (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) 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
27.7%	1	`(cos.f64 im)`
27.7%	1	`(exp.f64 re)`
27.7%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
27.7%	1	`im`
27.7%	1	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998041320131147	0.9999998994186786
0.0ms	0.0	0.046081839930616285
0.0ms	-0.014716126756981824	0.0
0.0ms	-inf	-0.9991356069011262

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998041320131147	0.9999998994186786
0.0ms	0.0	0.046081839930616285
0.0ms	-0.014716126756981824	0.0
0.0ms	-inf	-0.9991356069011262

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	-0.014716126756981824	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.014716126756981824	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	-0.014716126756981824	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	1.0000000000008218	2.5949661154983517e+21

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	1.0000000000008218	2.5949661154983517e+21

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000008218	2.5949661154983517e+21

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations472.0ms (14.5%)

Memory

61.5MiB live, 426.5MiB allocated; 102ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 142 to 98 computations (31% saved)

preprocess261.0ms (8%)

Memory: -29.5MiB live, 163.7MiB allocated; 82ms collecting garbage
Remove: (abs im)
Compiler: Compiled 787 to 659 computations (16.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample927.0ms (28.5%)

preprocess34.0ms (1.1%)

series4.0ms (0.1%)

rewrite184.0ms (5.7%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

series12.0ms (0.4%)

rewrite323.0ms (9.9%)

eval41.0ms (1.3%)

prune9.0ms (0.3%)

series16.0ms (0.5%)

rewrite271.0ms (8.3%)

eval83.0ms (2.6%)

prune12.0ms (0.4%)

series99.0ms (3%)

rewrite199.0ms (6.1%)

eval42.0ms (1.3%)

prune18.0ms (0.6%)

regimes42.0ms (1.3%)

regimes34.0ms (1%)

regimes10.0ms (0.3%)

regimes49.0ms (1.5%)

regimes5.0ms (0.2%)

regimes17.0ms (0.5%)

regimes9.0ms (0.3%)

regimes16.0ms (0.5%)

regimes13.0ms (0.4%)

regimes20.0ms (0.6%)

regimes2.0ms (0.1%)

regimes9.0ms (0.3%)

regimes7.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations472.0ms (14.5%)

preprocess261.0ms (8%)

end0.0ms (0%)

Profiling