Metrics for math.exp on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample908.0ms (51.1%)

Memory

-3.6MiB live, 1 143.4MiB allocated; 251ms collecting garbage

Samples

686.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-cos: 260.0ms (64.2% of total)

ival-exp: 81.0ms (20% of total)

ival-mult!: 63.0ms (15.6% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain71.0ms (4%)

Memory

23.6MiB live, 116.1MiB allocated; 7ms 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: 18.0ms

ival-cos: 12.0ms (65% of total)

ival-exp: 4.0ms (21.7% of total)

ival-mult!: 2.0ms (10.8% of total)

adjust: 0.0ms (0% of total)

preprocess29.0ms (1.6%)

Memory

-48.7MiB live, 51.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series7.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

5 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	0	((* (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	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite143.0ms (8%)

Memory

11.2MiB live, 151.6MiB allocated; 6ms 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))

eval4.0ms (0.2%)

Memory: 7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 456 to 133 computations (70.8% saved)

prune2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Accuracy

100.0%

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	73.9%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	51.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 31 to 26 computations (16.1% saved)

series22.0ms (1.3%)

Memory

-22.7MiB live, 27.5MiB allocated; 4ms collecting garbage

Counts

10 → 49

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(cosh.f64 re)
(*.f64 (sinh.f64 re) (cos.f64 im))
(sinh.f64 re)

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	inf	((* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (exp re) re (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
6.0ms	im	@	0	((* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (exp re) re (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
4.0ms	re	@	-inf	((* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (exp re) re (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
3.0ms	re	@	inf	((* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (exp re) re (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))
2.0ms	re	@	0	((* (exp re) (cos im)) (cos im) im (* (exp re) (cos im)) (exp re) re (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) (* (sinh re) (cos im)) (sinh re))

rewrite176.0ms (9.9%)

Memory

70.1MiB live, 314.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1090
0	235	981
1	1501	911
0	8185	845

Stop Event

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

Counts

59 → 98

Calls

Call 1

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

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

eval20.0ms (1.2%)

Memory: 6.3MiB live, 50.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 249 to 380 computations (83.1% saved)

prune25.0ms (1.4%)

Memory

-53.5MiB live, 14.9MiB allocated; 31ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	108	5	113

Accuracy

100.0%

Counts

113 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 #s(approx (sinh re) re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	73.9%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	31.2%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 43 to 35 computations (18.6% saved)

series8.0ms (0.5%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Counts

10 → 49

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) 1 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re))
2.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) 1 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re))
1.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) 1 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re))
1.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) 1 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re))
1.0ms	re	@	0	((* (exp re) (cos im)) (exp re) 1 (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re))

rewrite179.0ms (10%)

Memory

-18.7MiB live, 258.5MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1102
0	232	987
1	1516	917
0	8287	851

Stop Event

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

Counts

59 → 89

Calls

Call 1

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

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

eval10.0ms (0.6%)

Memory: 17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 941 to 328 computations (83.1% saved)

prune4.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	84	5	89

Accuracy

100.0%

Counts

89 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 #s(approx (sinh re) re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	73.9%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	31.2%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 96 to 56 computations (41.7% saved)

regimes12.0ms (0.7%)

Memory

-28.6MiB live, 18.4MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes7.0ms (0.4%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#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

5 calls:

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

Results

Accuracy	Segments	Branch
79.7%	2	`(cos.f64 im)`
93.9%	3	`(exp.f64 re)`
93.5%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
93.9%	3	`re`
80.1%	4	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

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)) (cos.f64 im))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`im`
51.3%	1	`(cos.f64 im)`
51.3%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
51.3%	1	`(exp.f64 re)`
51.3%	1	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.4%)

Memory

-43.8MiB live, 14.8MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.2%	1	`im`
31.2%	1	`(cos.f64 im)`
31.2%	1	`(exp.f64 re)`
31.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
31.2%	1	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch29.0ms (1.7%)

Memory

17.4MiB live, 63.0MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.779189206805928e-15	3.237893682080371e-5
11.0ms	-1.4945144987779612e-5	-1.3713736895211596e-7

Samples

18.0ms

272×

valid

Compiler

Compiled 280 to 282 computations (-0.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 7.0ms (56.5% of total)

ival-exp: 5.0ms (40.4% of total)

ival-mult!: 1.0ms (8.1% of total)

adjust: 0.0ms (0% of total)

derivations66.0ms (3.7%)

Memory

-11.1MiB live, 78.2MiB allocated; 18ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 19 computations (65.5% saved)

preprocess43.0ms (2.4%)

Memory: 13.0MiB live, 61.5MiB allocated; 17ms collecting garbage
Remove: (abs im)
Compiler: Compiled 230 to 118 computations (48.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample908.0ms (51.1%)

explain71.0ms (4%)

preprocess29.0ms (1.6%)

series7.0ms (0.4%)

rewrite143.0ms (8%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series22.0ms (1.3%)

rewrite176.0ms (9.9%)

eval20.0ms (1.2%)

prune25.0ms (1.4%)

series8.0ms (0.5%)

rewrite179.0ms (10%)

eval10.0ms (0.6%)

prune4.0ms (0.2%)

regimes12.0ms (0.7%)

regimes7.0ms (0.4%)

regimes6.0ms (0.3%)

regimes6.0ms (0.4%)

bsearch29.0ms (1.7%)

derivations66.0ms (3.7%)

preprocess43.0ms (2.4%)

end0.0ms (0%)

Profiling