Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample1.1s (26.3%)

Memory

32.2MiB live, 1 787.1MiB allocated; 401ms collecting garbage

Samples

741.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-cos: 310.0ms (66% of total)

ival-exp: 92.0ms (19.6% of total)

ival-mult: 63.0ms (13.4% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain83.0ms (2%)

Memory

10.1MiB live, 97.5MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (exp.f64 re) (cos.f64 im))`
-	-	`(cos.f64 im)`
-	-	`re`
-	-	`(exp.f64 re)`
-	-	`im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-cos: 11.0ms (59.1% of total)

ival-exp: 4.0ms (21.5% of total)

ival-mult: 3.0ms (16.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess183.0ms (4.4%)

Memory

13.9MiB live, 260.0MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	138	32
3	417	32
4	1629	32
0	5	5
0	8	5
1	19	5
2	39	5
3	86	5
4	325	5
5	2558	5
0	8529	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

series19.0ms (0.5%)

Memory

-30.8MiB live, 15.4MiB allocated; 3ms 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
16.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	re	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite165.0ms (4%)

Memory

39.9MiB live, 266.7MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

26 → 41

Calls

Call 1

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

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

eval7.0ms (0.2%)

Memory: -32.6MiB live, 12.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 481 to 134 computations (72.1% saved)

prune4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Accuracy

100.0%

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(.f64 (/.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))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	66.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	54.2%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
▶	54.2%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
▶	73.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	53.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 161 to 115 computations (28.6% saved)

series8.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

18 → 39

Calls

Call 1

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

Calls

6 calls:

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

rewrite232.0ms (5.6%)

Memory

-14.2MiB live, 277.7MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	621
0	174	605
1	957	593
0	8695	567

Stop Event

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

Counts

57 → 159

Calls

Call 1

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

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

eval24.0ms (0.6%)

Memory: 41.9MiB live, 80.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 740 to 672 computations (82% saved)

prune22.0ms (0.5%)

Memory

4.5MiB live, 44.5MiB allocated; 15ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	197	12	209
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	199	17	216

Accuracy

100.0%

Counts

216 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(.f64 (/.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))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	41.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	38.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	62.1%	(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (cos.f64 im))
✓	54.2%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
▶	31.1%	(.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))))
	53.9%	#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
✓	73.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	53.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal -1 binary64))))
	31.6%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
	42.4%	#s(approx (* (exp re) (cos im)) #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))))
	38.3%	#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))))
▶	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
▶	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	31.6%	#s(approx (* (exp re) (cos im)) #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))))

Compiler

Compiled 528 to 363 computations (31.3% saved)

series28.0ms (0.7%)

Memory

-12.9MiB live, 43.4MiB allocated; 22ms collecting garbage

Counts

32 → 77

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) re -1 (- re 1) 1 (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (* (+ (* -1/720 (* im im)) 1/24) im) (+ (* -1/720 (* im im)) 1/24) -1/720)
3.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) re -1 (- re 1) 1 (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (* (+ (* -1/720 (* im im)) 1/24) im) (+ (* -1/720 (* im im)) 1/24) -1/720)
3.0ms	im	@	0	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) re -1 (- re 1) 1 (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (* (+ (* -1/720 (* im im)) 1/24) im) (+ (* -1/720 (* im im)) 1/24) -1/720)
2.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) re -1 (- re 1) 1 (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (* (+ (* -1/720 (* im im)) 1/24) im) (+ (* -1/720 (* im im)) 1/24) -1/720)
2.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) re -1 (- re 1) 1 (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)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (cos im) (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (* (+ (* -1/720 (* im im)) 1/24) im) (+ (* -1/720 (* im im)) 1/24) -1/720)

rewrite683.0ms (16.5%)

Memory

-126.0MiB live, 315.3MiB allocated; 795ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1523
0	272	1474
1	1142	1418
0	8558	1364

Stop Event

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

Counts

109 → 443

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(*.f64 (-.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal -1 binary64)) re)
(*.f64 #s(literal 1 binary64) (-.f64 re #s(literal -1 binary64)))
(*.f64 re (-.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 re re) (-.f64 re #s(literal 1 binary64))) (/.f64 (.f64 re re) (-.f64 re #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64))))) (-.f64 (/.f64 (*.f64 re re) (-.f64 re #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 re re) (-.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 re re) (-.f64 re #s(literal 1 binary64))) (/.f64 (.f64 re re) (-.f64 re #s(literal 1 binary64))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 re re) (-.f64 re #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re re)) re)))
(/.f64 (fma.f64 (.f64 re re) (-.f64 re #s(literal 1 binary64)) (.f64 (-.f64 re #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re re)) re))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64))) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 re (*.f64 (neg.f64 re) (pow.f64 re #s(literal -1 binary64))))
(-.f64 re (*.f64 (neg.f64 (pow.f64 re #s(literal -1 binary64))) re))
(-.f64 re #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 re re)) re)) (/.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 re re)) re)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64))) (/.f64 (*.f64 re re) (-.f64 re #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 re re) (-.f64 re #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 re #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (-.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) re #s(literal -1 binary64)) (-.f64 (neg.f64 re) #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 re) #s(literal 1 binary64)) (-.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 re) #s(literal -1 binary64)) (-.f64 (fabs.f64 re) #s(literal -1 binary64)))
(*.f64 (-.f64 re #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))
(*.f64 (-.f64 re #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 re re)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (.f64 re re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 re re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re #s(literal 1 binary64))))
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(/.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal -1/17280 binary64) (.f64 im im))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal -1/17280 binary64)))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) (fabs.f64 im)) (fabs.f64 im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal -1/24 binary64))))
(-.f64 (.f64 #s(literal -1/720 binary64) (.f64 im im)) #s(literal -1/24 binary64))
(-.f64 #s(literal 1/24 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/720 binary64) im)) im))
(-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (neg.f64 im) im) #s(literal -1/720 binary64)))
(-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 im im)))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (-.f64 (+.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal -1/17280 binary64) (.f64 im im)))) (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal -1/17280 binary64) (*.f64 im im)))))
(+.f64 (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal -1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 im im) #s(literal -1/17280 binary64))))))
(+.f64 (.f64 #s(literal -1/720 binary64) (.f64 im im)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))
#s(literal -1/720 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) re (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (/ (+ (* re re) -1) (- re 1)) #s(literal 1 binary64))
#s(approx (/ (+ (* re re) -1) (- re 1)) (-.f64 re #s(literal -1 binary64)))
#s(approx (+ (* re re) -1) #s(literal -1 binary64))
#s(approx (+ (* re re) -1) (fma.f64 re re #s(literal -1 binary64)))
#s(approx re re)
#s(approx (- re 1) #s(literal -1 binary64))
#s(approx (- re 1) (-.f64 re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (/ (+ (* re re) -1) (- re 1)) re)
#s(approx (/ (+ (* re re) -1) (- re 1)) (-.f64 re #s(literal -1 binary64)))
#s(approx (+ (* re re) -1) (*.f64 re re))
#s(approx (+ (* re re) -1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64))) re) re))
#s(approx (- re 1) re)
#s(approx (- re 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1 binary64))) re))
#s(approx (- re 1) (*.f64 (neg.f64 re) (-.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (cos im) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (+ (* (* im im) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/2) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* im im)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (* 1/24 (* im im)) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)))
#s(approx (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
#s(approx (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) im) (*.f64 #s(literal 1/24 binary64) im))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) im) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) im) im))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (-.f64 (-.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/24 binary64)) (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (- (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
#s(approx (- (* 1/24 (* im im)) 1/2) (.f64 (.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) im) im))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (* (+ (* -1/720 (* im im)) 1/24) im) im) (.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (.f64 (-.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) im) im))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) im) (.f64 (neg.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 3 binary64))))

eval102.0ms (2.5%)

Memory: -14.6MiB live, 130.0MiB allocated; 32ms collecting garbage
Compiler: Compiled 14 215 to 2 490 computations (82.5% saved)

prune24.0ms (0.6%)

Memory

2.3MiB live, 48.8MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	535	6	541
Fresh	1	7	8
Picked	4	1	5
Done	0	4	4
Total	540	18	558

Accuracy

100.0%

Counts

558 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(.f64 (/.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))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	38.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	54.2%	(.f64 #s(approx (exp re) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (cos.f64 im))
✓	54.2%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
▶	11.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
	53.9%	#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
✓	73.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	53.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal -1 binary64))))
▶	31.6%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
	42.4%	#s(approx (* (exp re) (cos im)) #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))))
	38.3%	#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))))
✓	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
▶	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
▶	31.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))

Compiler

Compiled 600 to 413 computations (31.2% saved)

series11.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

31 → 81

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (cos im) im (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (- re -1) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* -1/2 (* im im)) -1/2 (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (+ (* (* im im) 1/24) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (+ (* -1/720 (* im im)) 1/24) -1/720)
2.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (cos im) im (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (- re -1) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* -1/2 (* im im)) -1/2 (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (+ (* (* im im) 1/24) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (+ (* -1/720 (* im im)) 1/24) -1/720)
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (cos im) im (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (- re -1) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* -1/2 (* im im)) -1/2 (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (+ (* (* im im) 1/24) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (+ (* -1/720 (* im im)) 1/24) -1/720)
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (cos im) im (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (- re -1) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* -1/2 (* im im)) -1/2 (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (+ (* (* im im) 1/24) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (+ (* -1/720 (* im im)) 1/24) -1/720)
1.0ms	im	@	0	((* (exp re) (cos im)) (exp re) (/ (+ (* re re) -1) (- re 1)) (+ (* re re) -1) -1 (- re 1) re 1 (cos im) im (* (exp re) (cos im)) (+ (* (cos im) re) (cos im)) (- re -1) (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* -1/2 (* im im)) -1/2 (* im im) (* (exp re) (cos im)) (cos im) (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (+ (* (* im im) 1/24) -1/2) 1/24 (* (exp re) (cos im)) (cos im) (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (+ (* -1/720 (* im im)) 1/24) -1/720)

rewrite245.0ms (5.9%)

Memory

-8.3MiB live, 228.8MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	1579
0	293	1532
1	1418	1504
0	8088	1453

Stop Event

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

Counts

112 → 218

Calls

Call 1

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

Outputs
(.f64 (cos.f64 im) #s(approx (exp re) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))))
(.f64 #s(approx (exp re) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (cos.f64 im))
#s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 re #s(literal 1 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64))) (neg.f64 (-.f64 re #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))
#s(approx (+ (* re re) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) re))
(-.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
(-.f64 re #s(literal 1 binary64))
re
#s(literal 1 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)))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.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 (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
#s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 re #s(literal -1 binary64))
(.f64 #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) #s(approx (exp re) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(.f64 (.f64 #s(literal -1/2 binary64) im) im)
(.f64 #s(literal -1/2 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 im (.f64 im #s(literal -1/2 binary64)))
#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(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64)))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) im) im))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64))))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) im) im)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) im) im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) im) im) #s(literal 1 binary64))))
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#s(approx (- re -1) re)
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#s(approx im im)
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#s(approx (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (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 (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* im im) 1/24) -1/2) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (-.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)))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)))
#s(approx (cos im) (cos.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 im im)))
#s(approx (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* im im) 1/24) -1/2) (* im im)) 1) (.f64 (-.f64 (+.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal 1/24 binary64)) (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (* im im) 1/24) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
#s(approx (+ (* (* im im) 1/24) -1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 im im)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -1/720 (* im im)) 1/24) (* im im)) -1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (-.f64 (.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 im im)))

eval40.0ms (1%)

Memory: 30.1MiB live, 74.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 9 078 to 1 334 computations (85.3% saved)

prune24.0ms (0.6%)

Memory

-27.8MiB live, 64.4MiB allocated; 7ms collecting garbage

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	325	3	328
Fresh	0	8	8
Picked	0	5	5
Done	0	5	5
Total	325	21	346

Accuracy

100.0%

Counts

346 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(.f64 (/.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))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	38.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	54.2%	(.f64 #s(approx (exp re) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (cos.f64 im))
	31.8%	(.f64 #s(approx (exp re) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) #s(literal 1 binary64)))
✓	54.2%	(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
✓	11.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
	53.9%	#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
✓	73.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	53.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal -1 binary64))))
✓	31.6%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
	3.5%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) #s(approx (- re -1) re)))
	42.4%	#s(approx (* (exp re) (cos im)) #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))))
	38.3%	#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))))
✓	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
✓	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	31.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	32.4%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	31.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))

Compiler

Compiled 902 to 406 computations (55% saved)

regimes90.0ms (2.2%)

Memory

30.4MiB live, 85.0MiB allocated; 7ms collecting garbage

Counts

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

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

Calls

5 calls:

61.0ms	re
8.0ms	im
7.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes63.0ms (1.5%)

Memory

-33.3MiB live, 101.9MiB allocated; 10ms collecting garbage

Counts

25 → 5

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	im
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(cos.f64 im)
7.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
84.1%	4	`(cos.f64 im)`
95.7%	3	`(exp.f64 re)`
99.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
97.3%	4	`re`
81.5%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB 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) (cos im)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
(.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)) #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))))
(.f64 #s(approx (exp re) (/.f64 #s(approx (+ ( re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) #s(approx (cos im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)) (.f64 im im) re) #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #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 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
99.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (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
99.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes17.0ms (0.4%)

Memory

-41.6MiB live, 15.7MiB allocated; 26ms collecting garbage

Counts

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

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

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
99.3%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes28.0ms (0.7%)

Memory

10.3MiB live, 57.1MiB allocated; 3ms collecting garbage

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

7.0ms	(cos.f64 im)
5.0ms	im
5.0ms	re
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
62.3%	2	`(cos.f64 im)`
62.7%	2	`im`
72.6%	3	`(exp.f64 re)`
72.6%	3	`re`
75.3%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes26.0ms (0.6%)

Memory

14.4MiB live, 60.1MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
46.9%	2	`(cos.f64 im)`
42.4%	1	`im`
52.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
50.8%	3	`(exp.f64 re)`
50.8%	3	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB 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) (cos im)) #s(approx (- re -1) re)))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
(.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) #s(approx (+ (* (* im im) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))))

#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

3 calls:

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

Results

Accuracy	Segments	Branch
44.8%	2	`re`
44.8%	2	`(exp.f64 re)`
47.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.3%)

Memory

-15.2MiB live, 30.0MiB allocated; 5ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	im
2.0ms	re
2.0ms	(cos.f64 im)
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
38.3%	1	`im`
38.3%	1	`(exp.f64 re)`
38.3%	1	`re`
41.4%	2	`(cos.f64 im)`
41.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

2.0ms	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
31.6%	1	`im`
33.9%	2	`re`
33.9%	2	`(exp.f64 re)`
34.6%	2	`(cos.f64 im)`
34.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.2%)

Memory

-38.8MiB live, 13.6MiB allocated; 8ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
31.6%	1	`(exp.f64 re)`
31.6%	1	`re`
31.6%	1	`(cos.f64 im)`
31.6%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Accuracy

Total -18.0b remaining (-40.9%)

Threshold costs -18b (-40.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.1%	1	`(cos.f64 im)`
31.1%	1	`im`
31.1%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
31.1%	1	`(exp.f64 re)`
31.1%	1	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999973	1.0
0.0ms	0.0	0.001876595404146998
0.0ms	-0.055916332559925945	0.0
0.0ms	-inf	-0.99925528860795

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999973	1.0
0.0ms	0.0	0.001876595404146998
0.0ms	-0.055916332559925945	0.0
0.0ms	-inf	-0.99925528860795

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999973	1.0
0.0ms	0.0	0.001876595404146998
0.0ms	-0.055916332559925945	0.0
0.0ms	-inf	-0.99925528860795

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999946021879645	0.9999999997758381
0.0ms	0.0	0.001876595404146998
0.0ms	-0.055916332559925945	0.0
0.0ms	-inf	-0.99925528860795

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch68.0ms (1.6%)

Memory

4.6MiB live, 49.4MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.974439156261027e-15	9.313909747397356e-7
51.0ms	-47721.70437501525	-0.0006942269210716166

Samples

55.0ms

288×

valid

Compiler

Compiled 548 to 469 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 6.0ms (55% of total)

ival-exp: 3.0ms (27.5% of total)

ival-mult: 2.0ms (18.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.001876595404146998

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.001876595404146998

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.001876595404146998

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.001876595404146998

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify59.0ms (1.4%)

Memory

3.2MiB live, 87.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	666
1	152	649
2	284	649
3	668	649
4	1898	649

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1125899906842621/1125899906842624 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1125899906842621/1125899906842624 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1125899906842621/1125899906842624 binary64)) #s(approx ( (exp re) (cos im)) (fma.f64 #s(approx (cos im) #s(literal 1 binary64)) re (cos.f64 im))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503577109372359/4503599627370496 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 re #s(literal -520 binary64)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) (if (<=.f64 re #s(literal 785801782749509/302231454903657293676544 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) #s(approx (* (exp re) (cos im)) #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)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) #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)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (* (+ (* -1/720 (* im im)) 1/24) im) im) 1/2) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (/.f64 #s(approx (+ (* re re) -1) #s(literal -1 binary64)) (-.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1125899906842621/1125899906842624 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
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#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (-.f64 re #s(literal -1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

derivations673.0ms (16.2%)

Memory

-24.4MiB live, 753.0MiB allocated; 152ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 651 to 114 computations (82.5% saved)

preprocess70.0ms (1.7%)

Memory: 10.6MiB live, 148.3MiB allocated; 36ms collecting garbage
Remove: (abs im)
Compiler: Compiled 1 332 to 258 computations (80.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (26.3%)

explain83.0ms (2%)

preprocess183.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series19.0ms (0.5%)

rewrite165.0ms (4%)

eval7.0ms (0.2%)

prune4.0ms (0.1%)

series8.0ms (0.2%)

rewrite232.0ms (5.6%)

eval24.0ms (0.6%)

prune22.0ms (0.5%)

series28.0ms (0.7%)

rewrite683.0ms (16.5%)

eval102.0ms (2.5%)

prune24.0ms (0.6%)

series11.0ms (0.3%)

rewrite245.0ms (5.9%)

eval40.0ms (1%)

prune24.0ms (0.6%)

regimes90.0ms (2.2%)

regimes63.0ms (1.5%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes17.0ms (0.4%)

regimes28.0ms (0.7%)

regimes26.0ms (0.6%)

regimes7.0ms (0.2%)

regimes13.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch68.0ms (1.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify59.0ms (1.4%)

derivations673.0ms (16.2%)

preprocess70.0ms (1.7%)

end0.0ms (0%)

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