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

1.0MiB live, 1.0MiB 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)

sample926.0ms (24.1%)

Memory

29.3MiB live, 1 386.2MiB allocated; 279ms collecting garbage

Samples

672.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 460.0ms

ival-cos: 244.0ms (53.1% of total)

ival-exp: 141.0ms (30.7% of total)

ival-mult!: 73.0ms (15.9% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess55.0ms (1.4%)

Memory

-15.4MiB live, 67.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	167	32
3	772	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)

series34.0ms (0.9%)

Memory

-12.0MiB live, 45.4MiB allocated; 41ms 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
3.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
2.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite168.0ms (4.4%)

Memory

50.9MiB live, 184.5MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	282
0	91	281
1	532	270
0	5038	250

Stop Event

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

Counts

26 → 41

Calls

Call 1

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

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

eval86.0ms (2.2%)

Memory: -52.5MiB live, 15.5MiB allocated; 152ms collecting garbage
Compiler: Compiled 258 to 137 computations (46.9% saved)

prune4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

100.0%

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	61.5%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	63.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	66.9%	#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)))
▶	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	50.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 127 to 123 computations (3.1% saved)

series34.0ms (0.9%)

Memory

22.6MiB live, 70.8MiB allocated; 21ms collecting garbage

Counts

23 → 51

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 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(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 (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 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
12.0ms	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 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
6.0ms	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 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
6.0ms	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 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
4.0ms	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 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms	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 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite207.0ms (5.4%)

Memory

-21.9MiB live, 249.5MiB allocated; 80ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	883
0	205	859
1	1033	835
0	8896	794

Stop Event

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

Counts

74 → 264

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 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(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 (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 re)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (cos im) #s(hole binary64 (cos im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 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)))))
(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))))
(fma.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 re) (.f64 #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 re)))
(+.f64 (.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cosh.f64 re)) (.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 re)))
(+.f64 (.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (sinh.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 (-.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 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64))) (neg.f64 (fma.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 (.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 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 im im) #s(literal -1/2 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 #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 (.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 (.f64 im im) #s(literal -1/2 binary64)) (fma.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 im im) #s(literal -1/2 binary64)))))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.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 (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (.f64 #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))) (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 (.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) (.f64 im #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (.f64 im 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))) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 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 im im) #s(literal -1/2 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 im im) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 im)) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 im)) (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(.f64 (.f64 #s(literal -1 binary64) im) (*.f64 #s(literal -1 binary64) im))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 #s(literal 1 binary64) (fabs.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1 binary64) im))
(.f64 (.f64 (fabs.f64 im) #s(literal -1 binary64)) (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 (fabs.f64 im) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 im) #s(literal -1 binary64)) (*.f64 (neg.f64 im) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(.f64 (.f64 im #s(literal -1 binary64)) (*.f64 im #s(literal -1 binary64)))
(.f64 (.f64 im #s(literal 1 binary64)) (*.f64 im #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 (.f64 im im) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (*.f64 im im)))
(.f64 #s(literal 1 binary64) (.f64 im im))
(.f64 im (.f64 im #s(literal 1 binary64)))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (.f64 (.f64 im im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 im im) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 im im)))
(neg.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) #s(literal 0 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))))
(fma.f64 (cosh.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))) (.f64 (sinh.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)))))
(fma.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))) (cosh.f64 re) (.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))) (sinh.f64 re)))
(+.f64 (.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))) (cosh.f64 re)) (.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))) (sinh.f64 re)))
(+.f64 (.f64 (cosh.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)))) (.f64 (sinh.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 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (neg.f64 im) im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 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 (neg.f64 im) im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.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))) (neg.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))
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(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re)))
(/.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (neg.f64 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) (neg.f64 re)))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (neg.f64 re)))))
(-.f64 re (*.f64 (neg.f64 re) (/.f64 #s(literal 1 binary64) re)))
(-.f64 re (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re)) re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) re))) (/.f64 (.f64 (.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) (cos.f64 im)))
#s(approx (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) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (neg.f64 re) (-.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (cos.f64 im))))
#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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (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 (* 1/24 (* im im)) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (cos im) (- re -1)) (-.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 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 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64))) (.f64 im im) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal -1 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* 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))))

eval46.0ms (1.2%)

Memory: 21.4MiB live, 70.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 2 967 to 1 288 computations (56.6% saved)

prune11.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	303	8	311
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	306	12	318

Accuracy

100.0%

Counts

318 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	23.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	32.1%	(.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))))
▶	33.7%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	30.4%	(.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))))
▶	66.7%	#s(approx (* (exp re) (cos im)) (/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64))))
✓	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	50.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	30.1%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
▶	42.5%	#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))))
▶	29.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 229 to 221 computations (3.5% saved)

series519.0ms (13.5%)

Memory

-29.1MiB live, 102.4MiB allocated; 34ms collecting garbage

Counts

30 → 79

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
429.0ms	im	@	-inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (+ (* re re) -1) re -1 (cos im) im (+ re -1) (* (exp re) (cos im)) (exp re) 1 (* (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24)
36.0ms	im	@	inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (+ (* re re) -1) re -1 (cos im) im (+ re -1) (* (exp re) (cos im)) (exp re) 1 (* (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24)
35.0ms	re	@	0	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (+ (* re re) -1) re -1 (cos im) im (+ re -1) (* (exp re) (cos im)) (exp re) 1 (* (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24)
7.0ms	re	@	-inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (+ (* re re) -1) re -1 (cos im) im (+ re -1) (* (exp re) (cos im)) (exp re) 1 (* (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24)
6.0ms	re	@	inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (+ (* re re) -1) re -1 (cos im) im (+ re -1) (* (exp re) (cos im)) (exp re) 1 (* (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24)

rewrite209.0ms (5.4%)

Memory

-2.1MiB live, 253.1MiB allocated; 153ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1495
0	296	1444
1	1442	1374
0	8120	1344

Stop Event

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

Counts

109 → 282

Calls

Call 1

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

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

eval40.0ms (1%)

Memory: 1.6MiB live, 95.2MiB allocated; 28ms collecting garbage
Compiler: Compiled 3 255 to 1 363 computations (58.1% saved)

prune19.0ms (0.5%)

Memory

1.3MiB live, 45.0MiB allocated; 16ms collecting garbage

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	265	8	273
Fresh	1	2	3
Picked	3	2	5
Done	0	4	4
Total	269	16	285

Accuracy

100.0%

Counts

285 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	23.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	32.1%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.1%	(.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))))
▶	7.2%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	30.4%	(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	33.7%	(.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) #s(literal 1 binary64)))
▶	50.8%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) (neg.f64 (cos.f64 im))) (+.f64 re #s(literal -1 binary64))))
✓	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	50.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	30.1%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
✓	42.5%	#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))))
▶	16.0%	#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))))
	16.0%	#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)))))
✓	29.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 358 to 346 computations (3.4% saved)

series87.0ms (2.3%)

Memory

9.2MiB live, 145.5MiB allocated; 85ms collecting garbage

Counts

33 → 100

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	re	@	inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (neg (cos im)) (cos im) im (+ re -1) re -1 (* (exp re) (cos im)) (* (cos im) (- 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) (- re -1) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (cos im) (exp re)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (exp re))
20.0ms	re	@	-inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (neg (cos im)) (cos im) im (+ re -1) re -1 (* (exp re) (cos im)) (* (cos im) (- 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) (- re -1) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (cos im) (exp re)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (exp re))
18.0ms	im	@	-inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (neg (cos im)) (cos im) im (+ re -1) re -1 (* (exp re) (cos im)) (* (cos im) (- 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) (- re -1) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (cos im) (exp re)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (exp re))
8.0ms	im	@	inf	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (neg (cos im)) (cos im) im (+ re -1) re -1 (* (exp re) (cos im)) (* (cos im) (- 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) (- re -1) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (cos im) (exp re)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (exp re))
6.0ms	im	@	0	((* (exp re) (cos im)) (/ (* (+ (* re re) -1) (cos im)) (+ re -1)) (* (+ (* re re) -1) (cos im)) (neg (cos im)) (cos im) im (+ re -1) re -1 (* (exp re) (cos im)) (* (cos im) (- 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) (- re -1) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (cos im) (exp re)) (cos im) (+ (* (- (* (* im im) 1/24) 1/2) (* im im)) 1) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (exp re))

rewrite240.0ms (6.2%)

Memory

26.9MiB live, 204.2MiB allocated; 116ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	1992
0	349	1943
1	1757	1926
0	8574	1832

Stop Event

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

Counts

133 → 252

Calls

Call 1

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

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

eval28.0ms (0.7%)

Memory: 5.9MiB live, 49.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 553 to 1 132 computations (55.7% saved)

prune39.0ms (1%)

Memory

-22.0MiB live, 33.2MiB allocated; 29ms collecting garbage

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	216	9	225
Fresh	0	5	5
Picked	2	3	5
Done	0	6	6
Total	218	23	241

Accuracy

100.0%

Counts

241 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	23.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	32.1%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.1%	(.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))))
	7.2%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.0%	(.f64 #s(approx (exp re) #s(approx (- re -1) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	30.4%	(.f64 #s(approx (exp re) #s(approx (- re -1) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	33.7%	(.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (exp re) #s(literal 1 binary64)))
	50.8%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) (neg.f64 (cos.f64 im))) #s(approx (+ re -1) (-.f64 re #s(literal 1 binary64)))))
	3.1%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) (neg.f64 (cos.f64 im))) #s(approx (+ re -1) re)))
	34.4%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) (neg.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))) (+.f64 re #s(literal -1 binary64))))
	34.4%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) #s(approx (neg (cos im)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))) (+.f64 re #s(literal -1 binary64))))
	30.0%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) #s(approx (neg (cos im)) #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64))))
✓	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	50.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	30.1%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
✓	42.5%	#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))))
✓	16.0%	#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))))
	16.0%	#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))))
	16.0%	#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)))))
	3.7%	#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))))
✓	29.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 578 to 487 computations (15.7% saved)

regimes54.0ms (1.4%)

Memory

-3.9MiB live, 85.9MiB allocated; 19ms collecting garbage

Counts

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

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

Calls

5 calls:

17.0ms	re
9.0ms	im
8.0ms	(cos.f64 im)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes39.0ms (1%)

Memory

19.9MiB live, 65.7MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
79.9%	2	`(cos.f64 im)`
94.9%	3	`(exp.f64 re)`
99.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
94.9%	3	`re`
78.8%	3	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

26 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes116.0ms (3%)

Memory

-11.9MiB live, 35.9MiB allocated; 157ms collecting garbage

Counts

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

Calls

4 calls:

97.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	re
6.0ms	(cos.f64 im)
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
74.1%	1	`(cos.f64 im)`
74.1%	1	`(exp.f64 re)`
74.1%	1	`re`
79.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
78.4%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
78.3%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes30.0ms (0.8%)

Memory

-22.8MiB live, 27.9MiB allocated; 14ms collecting garbage

Counts

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

Outputs

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

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

Calls

5 calls:

18.0ms	im
3.0ms	re
3.0ms	(cos.f64 im)
3.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
46.7%	2	`(cos.f64 im)`
48.3%	2	`(exp.f64 re)`
48.3%	2	`re`
42.5%	1	`im`
52.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

8 → 3

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

Outputs

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

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

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
52.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes17.0ms (0.4%)

Memory

-18.8MiB live, 25.3MiB allocated; 7ms 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 (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)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) #s(approx (neg (cos im)) #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))))
#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)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) #s(approx (neg (cos im)) #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:

7.0ms	im
2.0ms	re
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
32.5%	2	`im`
32.2%	2	`(cos.f64 im)`
43.3%	2	`(exp.f64 re)`
43.3%	2	`re`
43.4%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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 (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)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) #s(approx (neg (cos im)) #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64))))

Outputs

#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (* (+ (* re re) -1) (cos im)) #s(approx (neg (cos im)) #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) (*.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
43.4%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

4 → 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 (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

3 calls:

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

Results

Accuracy	Segments	Branch
42.5%	2	`(exp.f64 re)`
42.5%	2	`re`
42.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.2%)

Memory

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

Counts

3 → 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))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
30.1%	1	`(cos.f64 im)`
30.1%	1	`im`
30.1%	1	`(exp.f64 re)`
30.1%	1	`re`
30.1%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.3%)

Memory

-25.7MiB live, 19.2MiB allocated; 6ms collecting garbage

Accuracy

Total -17.0b remaining (-37.8%)

Threshold costs -17b (-37.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (* (exp re) (cos im)) #s(approx (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:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(cos.f64 im)
1.0ms	im
1.0ms	re
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
29.5%	1	`im`
29.5%	1	`(cos.f64 im)`
29.5%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
29.5%	1	`(exp.f64 re)`
29.5%	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	0.9954809235449019	0.9996913962089715
0.0ms	-0.0	0.10109063915470484
0.0ms	-1.8658639478687536e-14	0.0
0.0ms	-inf	-0.9999957764566705

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9954809235449019	0.9996913962089715
0.0ms	-0.0	0.10109063915470484
0.0ms	-1.8658639478687536e-14	0.0
0.0ms	-inf	-0.9999957764566705

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9954809235449019	0.9996913962089715
0.0ms	-0.0	0.10109063915470484
0.0ms	-1.8658639478687536e-14	0.0
0.0ms	-inf	-0.9999957764566705

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8658639478687536e-14	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.016131507599879205	-1.8658639478687536e-14

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	-0.1127077337077507	-0.06620216287200532

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	-0.0	0.10109063915470484

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000261942	4.360180135880537e+28
0.0ms	-0.0	0.10109063915470484

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	1.0000000000261942	4.360180135880537e+28

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	1.0000000000261942	4.360180135880537e+28

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	1.0000000000261942	4.360180135880537e+28

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations524.0ms (13.6%)

Memory

32.1MiB live, 456.8MiB allocated; 99ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 181 to 116 computations (35.9% saved)

preprocess262.0ms (6.8%)

Memory: -14.6MiB live, 265.1MiB allocated; 132ms collecting garbage
Remove: (abs im)
Compiler: Compiled 1 152 to 947 computations (17.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample926.0ms (24.1%)

preprocess55.0ms (1.4%)

series34.0ms (0.9%)

rewrite168.0ms (4.4%)

eval86.0ms (2.2%)

prune4.0ms (0.1%)

series34.0ms (0.9%)

rewrite207.0ms (5.4%)

eval46.0ms (1.2%)

prune11.0ms (0.3%)

series519.0ms (13.5%)

rewrite209.0ms (5.4%)

eval40.0ms (1%)

prune19.0ms (0.5%)

series87.0ms (2.3%)

rewrite240.0ms (6.2%)

eval28.0ms (0.7%)

prune39.0ms (1%)

regimes54.0ms (1.4%)

regimes39.0ms (1%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes116.0ms (3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes30.0ms (0.8%)

regimes3.0ms (0.1%)

regimes17.0ms (0.4%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.2%)

regimes11.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations524.0ms (13.6%)

preprocess262.0ms (6.8%)

end0.0ms (0%)

Profiling