Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.3s (39.6%)

Memory

-49.6MiB live, 1 182.9MiB allocated; 1.1s collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-cos: 178.0ms (60.8% of total)

ival-exp: 73.0ms (24.9% of total)

ival-mult!: 40.0ms (13.7% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess22.0ms (0.7%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

5 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite179.0ms (5.3%)

Memory

-13.4MiB live, 123.5MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

26 → 41

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 258 to 137 computations (46.9% saved)

prune5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	28	8	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	9	37

Accuracy

100.0%

Counts

37 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(.f64 (/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	58.1%	(.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))))
▶	64.4%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	64.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	64.2%	#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)))
	52.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	68.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	51.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 177 to 165 computations (6.8% saved)

series53.0ms (1.6%)

Memory

-9.0MiB live, 35.5MiB allocated; 8ms collecting garbage

Counts

25 → 77

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

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 (+ (* (+ (* 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 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 1))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (+ 1 re)))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) #s(hole binary64 1))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 1))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (+ 1 (pow re 2))))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1 (* 1/3 (pow re 2)))))))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1 (* (pow re 2) (+ 1/3 (* 2/45 (pow re 2)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (pow re 2)))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* (pow re 2) (+ 1 (* 1/3 (pow re 2))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* (pow re 2) (+ 1 (* (pow re 2) (+ 1/3 (* 2/45 (pow re 2))))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* (pow re 2) (+ 1 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 2/45 (* 1/315 (pow re 2))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 1))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* -1 re))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* re (- (* 1/2 re) 1)))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (/ (* (cos im) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) #s(hole binary64 (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #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 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow im 2) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/2 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ (* (pow im 2) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/2 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/720 (/ (* (pow im 2) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (* (cosh re) (cosh re)) (cosh re) (* (sinh re) (sinh re)) (sinh re) (- (cosh re) (sinh re)))
7.0ms	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (* (cosh re) (cosh re)) (cosh re) (* (sinh re) (sinh re)) (sinh re) (- (cosh re) (sinh re)))
5.0ms	re	@	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (* (cosh re) (cosh re)) (cosh re) (* (sinh re) (sinh re)) (sinh re) (- (cosh re) (sinh re)))
5.0ms	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (* (cosh re) (cosh re)) (cosh re) (* (sinh re) (sinh re)) (sinh re) (- (cosh re) (sinh re)))
3.0ms	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (* (cosh re) (cosh re)) (cosh re) (* (sinh re) (sinh re)) (sinh re) (- (cosh re) (sinh re)))

rewrite250.0ms (7.4%)

Memory

28.3MiB live, 174.2MiB allocated; 101ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	2041
0	333	1625
1	1821	1435
0	9065	1378

Stop Event

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

Counts

102 → 252

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)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
(.f64 (/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re))) (cos.f64 im))
(/.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 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re)))
(*.f64 (cosh.f64 re) (cosh.f64 re))
(cosh.f64 re)
(*.f64 (sinh.f64 re) (sinh.f64 re))
(sinh.f64 re)
(-.f64 (cosh.f64 re) (sinh.f64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #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 (+ (* (+ (* 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 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (+ (cos im) (* re (- (* -1 (* re (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (+ (cos im) (* re (- (* re (- (* -1 (* re (+ (cos im) (+ (* -1 (cos im)) (* -1/6 (cos im)))))) (+ (* -1 (cos im)) (* 1/2 (cos im))))) (* -1 (cos im)))))))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 1))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (+ 1 re)))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) #s(hole binary64 1))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 1))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (+ 1 (pow re 2))))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1 (* 1/3 (pow re 2)))))))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1 (* (pow re 2) (+ 1/3 (* 2/45 (pow re 2)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (pow re 2)))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* (pow re 2) (+ 1 (* 1/3 (pow re 2))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* (pow re 2) (+ 1 (* (pow re 2) (+ 1/3 (* 2/45 (pow re 2))))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* (pow re 2) (+ 1 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 2/45 (* 1/315 (pow re 2))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 1))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* -1 re))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* re (- (* 1/2 re) 1)))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (/ (* (cos im) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) #s(hole binary64 (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))))
#s(approx (* (cosh re) (cosh re)) #s(hole binary64 (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sinh re) (sinh re)) #s(hole binary64 (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (- (cosh re) (sinh re)) #s(hole binary64 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #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 (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow im 2) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/2 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ (* (pow im 2) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/2 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* (pow im 2) (+ (* -1/720 (/ (* (pow im 2) (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2)))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/24 (/ (- (* 1/4 (pow (+ (exp re) (/ 1 (exp re))) 2)) (* 1/4 (pow (- (exp re) (/ 1 (exp re))) 2))) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))))))))) (* 1/4 (/ (pow (- (exp re) (/ 1 (exp re))) 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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))))

Outputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 re)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
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(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 re)))
(exp.f64 (neg.f64 (neg.f64 re)))
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#s(literal 1 binary64)
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(*.f64 (fabs.f64 (cosh.f64 re)) (fabs.f64 (cosh.f64 re)))
(*.f64 (cosh.f64 re) (cosh.f64 re))
(pow.f64 (neg.f64 (cosh.f64 re)) #s(literal 2 binary64))
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(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
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(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (sinh.f64 (neg.f64 re))))
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(exp.f64 (*.f64 (log.f64 (sinh.f64 re)) #s(literal 2 binary64)))
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) re)
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
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#s(approx re re)
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#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
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#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (cos.f64 im))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
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#s(approx (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) #s(literal 1 binary64))
#s(approx (* (cosh re) (cosh re)) #s(literal 1 binary64))
#s(approx (* (cosh re) (cosh re)) (fma.f64 re re #s(literal 1 binary64)))
#s(approx (* (cosh re) (cosh re)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 re re) #s(literal 1 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (* (cosh re) (cosh re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (.f64 re re) #s(literal 1 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cosh re) #s(literal 1 binary64))
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
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#s(approx (* (sinh re) (sinh re)) (*.f64 re re))
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#s(approx (sinh re) re)
#s(approx (sinh re) (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (sinh re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sinh re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (- (cosh re) (sinh re)) #s(literal 1 binary64))
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#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
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#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)))
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#s(approx (* (exp re) (cos im)) (exp.f64 re))
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#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)
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#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) (.f64 im im)) (.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) (.f64 im im)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re))))) (.f64 im im) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))))))
#s(approx (* (/ (- (* (cosh re) (cosh re)) (* (sinh re) (sinh re))) (- (cosh re) (sinh re))) (cos im)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) (.f64 #s(literal -1/720 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) (.f64 im im)))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re))))) (.f64 im im) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -1/2 binary64))) (.f64 im im) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re)))))))
#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)))

eval28.0ms (0.8%)

Memory: 8.9MiB live, 58.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 891 to 1 158 computations (59.9% saved)

prune14.0ms (0.4%)

Memory

-5.9MiB live, 39.0MiB allocated; 8ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	240	10	250
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	244	15	259

Accuracy

100.0%

Counts

259 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	58.1%	(.f64 (exp.f64 re) #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))))
▶	29.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	64.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	31.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	16.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (cos.f64 im))
	16.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
▶	29.1%	(.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))))
▶	52.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	68.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	28.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
▶	28.0%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 287 to 281 computations (2.1% saved)

series16.0ms (0.5%)

Memory

-1.1MiB live, 44.4MiB allocated; 9ms collecting garbage

Counts

24 → 64

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	re	@	inf	((* (/ 1 (exp (neg re))) (cos im)) (/ 1 (exp (neg re))) 1 (exp (neg re)) (neg re) re (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms	im	@	inf	((* (/ 1 (exp (neg re))) (cos im)) (/ 1 (exp (neg re))) 1 (exp (neg re)) (neg re) re (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms	re	@	-inf	((* (/ 1 (exp (neg re))) (cos im)) (/ 1 (exp (neg re))) 1 (exp (neg re)) (neg re) re (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms	im	@	-inf	((* (/ 1 (exp (neg re))) (cos im)) (/ 1 (exp (neg re))) 1 (exp (neg re)) (neg re) re (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
2.0ms	im	@	0	((* (/ 1 (exp (neg re))) (cos im)) (/ 1 (exp (neg re))) 1 (exp (neg re)) (neg re) re (cos im) im (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite223.0ms (6.6%)

Memory

-7.1MiB live, 232.2MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1095
0	255	1031
1	1316	1016
0	8297	976

Stop Event

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

Counts

88 → 212

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (neg.f64 (neg.f64 re))) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 (neg.f64 (neg.f64 re))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im))) (neg.f64 (exp.f64 (neg.f64 re))))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 (neg.f64 re)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 re))
(pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 re)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 re)))
(exp.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 re))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (neg.f64 re)))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 (neg.f64 re))))
#s(literal 1 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 re #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 re #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) re)
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 re))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)))) (exp.f64 (neg.f64 (neg.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) (fma.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 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re))) (.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 (-.f64 #s(literal 0 binary64) re))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) re))
(exp.f64 (neg.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(*.f64 #s(literal -1 binary64) re)
(*.f64 re #s(literal -1 binary64))
(neg.f64 re)
re
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
(.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #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 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) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1/2 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (-.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 (neg.f64 (.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 (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64)) (.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 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(.f64 #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (exp.f64 re))
(.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 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 (neg.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))
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 im im))
(.f64 im (.f64 im #s(literal -1/2 binary64)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (.f64 (neg.f64 re) (cos.f64 im)) (.f64 (neg.f64 re) (cos.f64 im)))) (+.f64 (cos.f64 im) (.f64 (neg.f64 re) (cos.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64))) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))))) (-.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (cos.f64 im) re)))
(/.f64 (-.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (fma.f64 (.f64 (neg.f64 re) (cos.f64 im)) (.f64 (neg.f64 re) (cos.f64 im)) (.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cos.f64 im) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im)) (-.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 (cos.f64 im) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (fma.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (.f64 (cos.f64 im) 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)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))))) (neg.f64 (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (cos.f64 im) (.f64 (cos.f64 im) re))) (/.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (cos.f64 im) (.f64 (cos.f64 im) re))))
(-.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 im)) re))
(-.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 re) (cos.f64 im)))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (neg.f64 (cos.f64 im)) re))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (neg.f64 re) (cos.f64 im)))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 (cos.f64 im)) re))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im)))
(+.f64 (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (.f64 (cos.f64 im) (.f64 (cos.f64 im) re))))) (/.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))
(+.f64 (.f64 (cos.f64 im) #s(literal 1 binary64)) (.f64 (cos.f64 im) re))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (cos.f64 im) re))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(/.f64 (fma.f64 (.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) (.f64 re #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (-.f64 (neg.f64 re) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (-.f64 (neg.f64 re) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re))))
(-.f64 (/.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 (neg.f64 re) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (-.f64 (neg.f64 re) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(-.f64 re #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))) (/.f64 (.f64 (.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
#s(literal -1 binary64)
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (cos.f64 im))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (fma.f64 re (-.f64 (.f64 (neg.f64 re) (.f64 (cos.f64 im) #s(literal -1/2 binary64))) (neg.f64 (cos.f64 im))) (cos.f64 im)))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 re) (fma.f64 (cos.f64 im) #s(literal -7/6 binary64) (cos.f64 im))) (*.f64 (cos.f64 im) #s(literal -1/2 binary64))) re) (neg.f64 (cos.f64 im))) re (cos.f64 im)))
#s(approx (/ 1 (exp (neg re))) #s(literal 1 binary64))
#s(approx (/ 1 (exp (neg re))) (-.f64 re #s(literal -1 binary64)))
#s(approx (/ 1 (exp (neg re))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (/ 1 (exp (neg 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 (exp (neg re)) #s(literal 1 binary64))
#s(approx (exp (neg re)) (-.f64 (neg.f64 re) #s(literal -1 binary64)))
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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 (neg re) (neg.f64 re))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (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 (* (/ 1 (exp (neg re))) (cos im)) (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
#s(approx (/ 1 (exp (neg re))) (exp.f64 (neg.f64 (neg.f64 re))))
#s(approx (exp (neg re)) (exp.f64 (neg.f64 re)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (- re -1) re)
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
#s(approx (/ 1 (exp (neg re))) (exp.f64 (neg.f64 (neg.f64 re))))
#s(approx (exp (neg re)) (exp.f64 (neg.f64 re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (neg.f64 re) (-.f64 (neg.f64 (cos.f64 im)) (/.f64 (cos.f64 im) re))))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (exp.f64 (neg.f64 (neg.f64 re))))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 re))))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 re))) (*.f64 im im) (exp.f64 (neg.f64 (neg.f64 re)))))
#s(approx (* (/ 1 (exp (neg re))) (cos im)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (exp.f64 (neg.f64 re))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 (neg.f64 re))))) (.f64 im im) (exp.f64 (neg.f64 (neg.f64 re)))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (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 (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) (exp.f64 re))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (* im im) -1/2) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (-.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 re #s(literal -1 binary64)) re) #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (-.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (-.f64 re #s(literal -1 binary64))) #s(literal 1/24 binary64) (.f64 (-.f64 re #s(literal -1 binary64)) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal -1 binary64)))
#s(approx (* (cos im) (- re -1)) (-.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (.f64 im im) (-.f64 re #s(literal -1 binary64))) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) (-.f64 re #s(literal -1 binary64)))) (.f64 (-.f64 re #s(literal -1 binary64)) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal -1 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))

eval52.0ms (1.5%)

Memory: -3.2MiB live, 41.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 953 to 855 computations (56.2% saved)

prune12.0ms (0.4%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	203	9	212
Fresh	4	2	6
Picked	1	4	5
Done	0	4	4
Total	208	19	227

Accuracy

100.0%

Counts

227 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 (neg.f64 re) #s(literal -1 binary64)))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	29.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	64.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	31.6%	(.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))))
	16.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (cos.f64 im))
	16.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
✓	29.1%	(.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))))
▶	29.1%	(.f64 #s(approx (exp 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))))
▶	100.0%	#s(approx (* (/ 1 (exp (neg re))) (cos im)) (/.f64 (cos.f64 im) (exp.f64 (neg.f64 re))))
✓	52.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	3.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) #s(approx (- re -1) re)))
	33.1%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (-.f64 re #s(literal -1 binary64))))
	31.0%	#s(approx (* (exp re) (cos im)) (.f64 #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 re #s(literal -1 binary64))))
✓	68.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	28.3%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
	36.4%	#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))))
✓	28.0%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 396 to 381 computations (3.8% saved)

series93.0ms (2.8%)

Memory

-3.6MiB live, 179.6MiB allocated; 35ms collecting garbage

Counts

29 → 78

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	im	@	0	((* (/ 1 (exp (neg re))) (cos im)) (/ (cos im) (exp (neg re))) (cos im) im (exp (neg re)) (neg re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
24.0ms	re	@	0	((* (/ 1 (exp (neg re))) (cos im)) (/ (cos im) (exp (neg re))) (cos im) im (exp (neg re)) (neg re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
15.0ms	im	@	-inf	((* (/ 1 (exp (neg re))) (cos im)) (/ (cos im) (exp (neg re))) (cos im) im (exp (neg re)) (neg re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
14.0ms	im	@	inf	((* (/ 1 (exp (neg re))) (cos im)) (/ (cos im) (exp (neg re))) (cos im) im (exp (neg re)) (neg re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))
1.0ms	re	@	-inf	((* (/ 1 (exp (neg re))) (cos im)) (/ (cos im) (exp (neg re))) (cos im) im (exp (neg re)) (neg re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1))

rewrite198.0ms (5.9%)

Memory

-4.3MiB live, 288.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	1417
0	291	1303
1	1412	1275
0	8190	1234

Stop Event

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

Counts

107 → 225

Calls

Call 1

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

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

eval22.0ms (0.7%)

Memory: -11.7MiB live, 44.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 657 to 755 computations (54.4% saved)

prune17.0ms (0.5%)

Memory

-6.2MiB live, 40.0MiB allocated; 3ms collecting garbage

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	163	6	169
Fresh	0	6	6
Picked	3	2	5
Done	0	8	8
Total	166	22	188

Accuracy

100.0%

Counts

188 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 (neg.f64 re) #s(literal -1 binary64)))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	29.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	64.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	12.0%	(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (exp (* (log im) 2)) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	16.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (cos.f64 im))
	16.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
✓	29.1%	(.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))))
	29.1%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	51.5%	#s(approx (* (/ 1 (exp (neg re))) (cos im)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (+.f64 (neg.f64 re) #s(literal 1 binary64)))))
✓	52.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	3.9%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) #s(approx (- re -1) re)))
	33.1%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (-.f64 re #s(literal -1 binary64))))
	9.5%	#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (- re -1) re)))
	31.0%	#s(approx (* (exp re) (cos im)) (.f64 #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 re #s(literal -1 binary64))))
	7.5%	#s(approx (* (exp re) (cos im)) (.f64 #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 (- re -1) re)))
	3.4%	#s(approx (* (exp re) (cos im)) (*.f64 #s(approx (cos im) #s(literal 1 binary64)) #s(approx (- re -1) re)))
✓	68.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	28.3%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
	36.4%	#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))))
✓	28.0%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 548 to 432 computations (21.2% saved)

regimes90.0ms (2.7%)

Memory

6.3MiB live, 95.8MiB allocated; 8ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

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

Calls

5 calls:

53.0ms	(cos.f64 im)
12.0ms	im
9.0ms	re
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes54.0ms (1.6%)

Memory

-14.4MiB live, 86.5MiB allocated; 7ms collecting garbage

Counts

28 → 5

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	re
10.0ms	(cos.f64 im)
8.0ms	im
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
81.7%	2	`(cos.f64 im)`
94.4%	3	`(exp.f64 re)`
99.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
96.7%	4	`re`
82.0%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB 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 (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) (*.f64 #s(approx (cos im) #s(literal 1 binary64)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) #s(approx (+ ( (exp (* (log im) 2)) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (- re -1) re)))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (.f64 #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 re #s(literal -1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (.f64 #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (- re -1) re)))
(.f64 (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))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (.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 (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 (* (/ 1 (exp (neg re))) (cos im)) (/.f64 (cos.f64 im) #s(approx (exp (neg re)) (+.f64 (neg.f64 re) #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (cos.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (-.f64 (neg.f64 re) #s(literal -1 binary64)))) (cos.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (cos.f64 im))

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

23 → 5

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes34.0ms (1%)

Memory

-31.3MiB live, 13.6MiB allocated; 3ms collecting garbage

Counts

22 → 5

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
98.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes53.0ms (1.6%)

Memory

22.1MiB live, 68.3MiB allocated; 2ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Calls

5 calls:

30.0ms	(exp.f64 re)
6.0ms	im
6.0ms	re
5.0ms	(cos.f64 im)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
71.9%	2	`(cos.f64 im)`
71.1%	2	`im`
71.1%	2	`(exp.f64 re)`
71.1%	2	`re`
76.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
76.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

-44.1MiB live, 7.6MiB allocated; 4ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
73.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms 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 (* (cos im) (- re -1)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) (*.f64 #s(approx (cos im) #s(literal 1 binary64)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.0%	1	`(cos.f64 im)`
71.3%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes9.0ms (0.3%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.0%	1	`(exp.f64 re)`
68.0%	1	`re`
68.0%	1	`im`
68.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes12.0ms (0.4%)

Memory

-13.7MiB live, 30.5MiB allocated; 5ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.4%)

Memory

-6.4MiB live, 34.6MiB allocated; 4ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	re
2.0ms	im
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
28.3%	1	`re`
28.3%	1	`(exp.f64 re)`
28.3%	1	`(cos.f64 im)`
28.3%	1	`im`
28.3%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.2%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999680136	1.0
0.0ms	0.0	0.15278726283763153
0.0ms	-0.003237714952351682	0.0
0.0ms	-inf	-11631208054588197000.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999680136	1.0
0.0ms	0.0	0.15278726283763153
0.0ms	-0.003237714952351682	0.0
0.0ms	-inf	-11631208054588197000.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999680136	1.0
0.0ms	0.0	0.15278726283763153
0.0ms	-0.003237714952351682	0.0
0.0ms	-inf	-11631208054588197000.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999680136	1.0
0.0ms	0.0	0.15278726283763153
0.0ms	-0.003237714952351682	0.0
0.0ms	-inf	-11631208054588197000.0

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	-0.003237714952351682	0.0

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	-0.003237714952351682	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003237714952351682	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003237714952351682	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations400.0ms (11.9%)

Memory

14.6MiB live, 437.2MiB allocated; 93ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 153 to 90 computations (41.2% saved)

preprocess141.0ms (4.2%)

Memory: -20.0MiB live, 169.8MiB allocated; 19ms collecting garbage
Remove: (abs im)
Compiler: Compiled 804 to 665 computations (17.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (39.6%)

preprocess22.0ms (0.7%)

series4.0ms (0.1%)

rewrite179.0ms (5.3%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

series53.0ms (1.6%)

rewrite250.0ms (7.4%)

eval28.0ms (0.8%)

prune14.0ms (0.4%)

series16.0ms (0.5%)

rewrite223.0ms (6.6%)

eval52.0ms (1.5%)

prune12.0ms (0.4%)

series93.0ms (2.8%)

rewrite198.0ms (5.9%)

eval22.0ms (0.7%)

prune17.0ms (0.5%)

regimes90.0ms (2.7%)

regimes54.0ms (1.6%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes34.0ms (1%)

regimes53.0ms (1.6%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes9.0ms (0.3%)

regimes12.0ms (0.4%)

regimes12.0ms (0.4%)

regimes5.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations400.0ms (11.9%)

preprocess141.0ms (4.2%)

end0.0ms (0%)

Profiling