Metrics for math.cos 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 13 to 12 computations (7.7% saved)

sample1.3s (15.8%)

Memory

-21.5MiB live, 1 802.1MiB allocated; 267ms collecting garbage

Samples

889.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 660.0ms

ival-cos: 264.0ms (40% of total)

ival-mult: 151.0ms (22.9% of total)

ival-exp: 127.0ms (19.2% of total)

ival-add: 68.0ms (10.3% of total)

ival-neg: 33.0ms (5% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain167.0ms (2%)

Memory

-1.8MiB live, 192.3MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(exp.f64 im)`
0	-	-	`(neg.f64 im)`
1	(-1.9640282694361052e+166 108.93160327043962)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(cos.f64 re)`
0	-	-	`im`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`re`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 im))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	1	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

48.0ms

512×

valid

Compiler

Compiled 81 to 34 computations (58% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 11.0ms (37.6% of total)

ival-exp: 7.0ms (23.9% of total)

ival-mult: 6.0ms (20.5% of total)

ival-add: 2.0ms (6.8% of total)

ival-neg: 2.0ms (6.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess176.0ms (2.1%)

Memory

26.5MiB live, 216.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	57
1	110	55
2	318	55
3	1199	33
4	7028	33
0	10	11
0	17	11
1	44	11
2	127	11
3	528	11
4	2484	7
0	9039	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

(abs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify150.0ms (1.8%)

Memory

40.0MiB live, 257.8MiB allocated; 76ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	2	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff	2	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	17	33
1	44	33
2	127	33
3	528	33
4	2484	27
0	9039	27

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (0.6%)

Memory

-6.4MiB live, 81.0MiB allocated; 23ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.00390625	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Samples

35.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 6.0ms (40.2% of total)

ival-exp: 3.0ms (20.1% of total)

ival-mult: 3.0ms (20.1% of total)

ival-add: 1.0ms (6.7% of total)

ival-neg: 1.0ms (6.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.8%)

Memory

-26.4MiB live, 16.4MiB allocated; 71ms collecting garbage

Counts

5 → 29

Calls

Call 1

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

Outputs
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ (exp im) (exp (neg im)))
(exp im)
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms	im	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms	re	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1/2 (cos re)) (cos re) (exp im))

simplify295.0ms (3.6%)

Memory

49.0MiB live, 286.9MiB allocated; 124ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	355
1	408	324
2	1700	315
3	6893	315
0	8192	284

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ (exp im) (exp (neg im)))
(exp im)
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (+ (exp im) (exp (neg im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re)))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite233.0ms (2.8%)

Memory

27.8MiB live, 331.0MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	17	25
1	57	21
2	408	19
3	4743	19
0	8284	19

Stop Event

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

Counts

5 → 335

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) im))))
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -6 binary64)))) (fma.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) im))) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
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(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (cosh.f64 im))
(fma.f64 (exp.f64 im) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(-.f64 (cosh.f64 im) (-.f64 (sinh.f64 im) (exp.f64 im)))
(+.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (cosh.f64 im))
(+.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 (neg.f64 im)))
(+.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (sinh.f64 im))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(+.f64 (sinh.f64 (neg.f64 im)) (+.f64 (cosh.f64 im) (exp.f64 im)))
(+.f64 (sinh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (cosh.f64 im) (-.f64 (exp.f64 im) (sinh.f64 im)))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 re)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 re)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 re))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 2 binary64))) (sin.f64 (-.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 re)) (.f64 #s(literal 1 binary64) (cos.f64 re))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (.f64 re re)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (.f64 re re)))) (.f64 (cos.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (.f64 re re)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (*.f64 re re))))))
(fma.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 re re) (-.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (.f64 re re) (-.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 re)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (.f64 re re)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (.f64 re re))))) (.f64 (cos.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (.f64 re re)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (.f64 re re))))))
(+.f64 (.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 0 binary64) (sin.f64 re)))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 re)) (.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 im) (cosh.f64 im)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (.f64 (sinh.f64 im) (cosh.f64 im)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (*.f64 (sinh.f64 im) (cosh.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (.f64 (sinh.f64 im) (cosh.f64 im)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (.f64 (sinh.f64 im) (cosh.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 im))
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 (sinh.f64 im) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 (fma.f64 im #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 3 binary64) im)))
(exp.f64 (*.f64 im #s(literal 1 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))
(exp.f64 im)
(+.f64 (.f64 (sinh.f64 im) #s(literal 1 binary64)) (.f64 (cosh.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 (cosh.f64 im) #s(literal 1 binary64)) (.f64 (sinh.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 im)) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (.f64 (sinh.f64 im) (cosh.f64 im)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) im)) (.f64 (sinh.f64 im) (cosh.f64 im)))))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval43.0ms (0.5%)

Memory: -36.2MiB live, 102.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 8 501 to 1 172 computations (86.2% saved)

prune7.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	357	5	362
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	358	5	363

Accuracy

100.0%

Counts

363 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
▶	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
▶	77.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	53.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	89.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)))

Compiler

Compiled 152 to 122 computations (19.7% saved)

simplify220.0ms (2.7%)

Memory

8.6MiB live, 250.9MiB allocated; 146ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	4	(-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im))
cost-diff	4	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)))
cost-diff	1	(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
cost-diff	2	(*.f64 #s(literal 1 binary64) (cosh.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	196
0	52	184
1	114	182
2	336	176
3	1508	166
0	9372	164

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.6%)

Memory

-6.7MiB live, 215.0MiB allocated; 71ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 im)
accuracy	0.0078125	(+.f64 (cosh.f64 im) (exp.f64 im))
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
accuracy	0.8125000000000001	(-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im))
accuracy	0.0078125	(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re))
accuracy	0.0078125	(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
accuracy	0.01171875	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	1.4231497505334156	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	1.4352300554785473	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	1.6636758873901087	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0.0	(cosh.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))

Samples

63.0ms	141×	0	valid
39.0ms	115×	0	exit

Compiler

Compiled 173 to 29 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-cos: 26.0ms (43.2% of total)

ival-mult: 13.0ms (21.6% of total)

ival-add: 5.0ms (8.3% of total)

const: 4.0ms (6.6% of total)

ival-exp: 3.0ms (5% of total)

ival-cosh: 3.0ms (5% of total)

ival-sinh: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

0.5MiB live, 46.5MiB allocated; 4ms collecting garbage

Counts

17 → 65

Calls

Call 1

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

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2))))
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/24 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))))
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (+ 1/2 (* 1/24 (pow im 2))))))))))
(* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))
(+ (* -1/4 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(+ (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/4 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* 1/48 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))))
(+ (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/4 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/48 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(* (cos re) (+ 1/2 (* 1/24 (pow im 2))))
(* 1/2 (* (cos re) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))
(+ 2 im)
(+ 2 (* im (+ 1 im)))
(+ 2 (* im (+ 1 (* im (+ 1 (* 1/6 im))))))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* 1/24 (* (pow im 2) (cos re)))
(* (pow im 2) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))
(+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	im	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (- (+ (cosh im) (exp im)) (sinh im))) (- (+ (cosh im) (exp im)) (sinh im)) (+ (cosh im) (exp im)) (sinh im))
4.0ms	im	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (- (+ (cosh im) (exp im)) (sinh im))) (- (+ (cosh im) (exp im)) (sinh im)) (+ (cosh im) (exp im)) (sinh im))
4.0ms	re	@	0	((* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (- (+ (cosh im) (exp im)) (sinh im))) (- (+ (cosh im) (exp im)) (sinh im)) (+ (cosh im) (exp im)) (sinh im))
4.0ms	re	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (- (+ (cosh im) (exp im)) (sinh im))) (- (+ (cosh im) (exp im)) (sinh im)) (+ (cosh im) (exp im)) (sinh im))
3.0ms	re	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (* (* im im) 1/24) 1/2) (cos re)) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (- (+ (cosh im) (exp im)) (sinh im))) (- (+ (cosh im) (exp im)) (sinh im)) (+ (cosh im) (exp im)) (sinh im))

simplify197.0ms (2.4%)

Memory

10.8MiB live, 234.0MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	1262
1	934	1084
2	3878	1026
0	8522	926

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2))))
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/24 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))))
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (+ 1/2 (* 1/24 (pow im 2))))))))))
(* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))
(+ (* -1/4 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(+ (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/4 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* 1/48 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))))
(+ (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/4 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/48 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(* (cos re) (+ 1/2 (* 1/24 (pow im 2))))
(* 1/2 (* (cos re) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))
(+ 2 im)
(+ 2 (* im (+ 1 im)))
(+ 2 (* im (+ 1 (* im (+ 1 (* 1/6 im))))))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* 1/24 (* (pow im 2) (cos re)))
(* (pow im 2) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))
(+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (exp (neg im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 im im) #s(literal -1/4 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/720 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/720 binary64)) (.f64 re re) (fma.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im im) #s(literal 1/48 binary64)) (.f64 im im) #s(literal 1/24 binary64))) (.f64 re re) (-.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 im im) #s(literal -1/4 binary64)) (.f64 im im)) #s(literal 1/2 binary64))) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (pow im 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* 1/24 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/24 (pow im 2)) (* (pow re 2) (+ (* -1/2 (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (+ 1/2 (* 1/24 (pow im 2))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))
(*.f64 (fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(.f64 (fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/4 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* 1/48 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))))
(fma.f64 (.f64 (fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/4 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/48 (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re))
(* (cos re) (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(* 1/2 (* (cos re) (- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(.f64 (fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(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))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(fma.f64 (.f64 (cos.f64 re) (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) (cos.f64 re))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(+ 2 im)
(+.f64 #s(literal 2 binary64) im)
(+ 2 (* im (+ 1 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) im) im #s(literal 2 binary64))
(+ 2 (* im (+ 1 (* im (+ 1 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)) im #s(literal 2 binary64))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal 1/6 binary64)) im)
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/24 (* (pow im 4) (cos re)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (cos.f64 re))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(.f64 (.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(.f64 (fma.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal -1/24 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* 1/24 (* (pow im 2) (cos re)))
(.f64 (.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) im) im)
(* (pow im 2) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(.f64 (.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal -1/24 binary64))) (.f64 im im))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(- (+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))
(fma.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (exp im) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(fma.f64 #s(literal 3/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(*.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite216.0ms (2.6%)

Memory

11.7MiB live, 396.4MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	152
0	52	148
1	191	130
2	1447	127
0	10478	127

Stop Event

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

Counts

17 → 728

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (sinh.f64 im))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (sinh.f64 im) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (sinh.f64 im) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (cosh.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (cosh.f64 im))
(cosh.f64 im)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (fma.f64 (sinh.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (cosh.f64 im) (cosh.f64 im))
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(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (exp.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))) (exp.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (sinh.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (exp.f64 im))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (cosh.f64 im))) (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 im) (cosh.f64 im))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im)) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 im)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im)) (exp.f64 im))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (.f64 (cosh.f64 im) (sinh.f64 im))))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (.f64 (cosh.f64 im) (sinh.f64 im))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) #s(literal 1 binary64))))
(-.f64 (exp.f64 im) (*.f64 (neg.f64 (cosh.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 im) (*.f64 #s(literal -1 binary64) (cosh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(-.f64 (cosh.f64 im) (exp.f64 im))
(exp.f64 (*.f64 im #s(literal -1 binary64)))
(exp.f64 im)
(+.f64 (/.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (cosh.f64 im))))) (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (cosh.f64 im))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (cosh.f64 im))))) (/.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (cosh.f64 im))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im))))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 im) (sinh.f64 im))))))
(+.f64 (/.f64 (*.f64 (exp.f64 im) (cosh.f64 im)) (exp.f64 im)) (/.f64 #s(literal 0 binary64) (exp.f64 im)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)) (exp.f64 im)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (-.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) #s(literal 1 binary64)) (.f64 (exp.f64 im) (cosh.f64 im)))) (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (-.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) #s(literal 1 binary64)) (.f64 (exp.f64 im) (cosh.f64 im)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (-.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) #s(literal 1 binary64)) (.f64 (exp.f64 im) (cosh.f64 im)))) (/.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (-.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) #s(literal 1 binary64)) (.f64 (exp.f64 im) (cosh.f64 im)))))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))
(+.f64 (cosh.f64 im) (exp.f64 im))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(sinh.f64 im)
(neg.f64 (sinh.f64 im))
(-.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))

eval98.0ms (1.2%)

Memory: -12.9MiB live, 274.5MiB allocated; 26ms collecting garbage
Compiler: Compiled 24 119 to 2 852 computations (88.2% saved)

prune24.0ms (0.3%)

Memory

30.5MiB live, 77.6MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	798	15	813
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	799	19	818

Accuracy

100.0%

Counts

818 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.4%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
	65.5%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
✓	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
✓	77.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	53.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	92.6%	(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
	52.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	39.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	52.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	38.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	51.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	35.0%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	49.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	32.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	89.6%	#s(approx (* (* 1 (cosh im)) (cos re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re)))
✓	89.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)))
▶	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	41.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))

Compiler

Compiled 829 to 590 computations (28.8% saved)

simplify288.0ms (3.5%)

Memory

-13.9MiB live, 225.1MiB allocated; 237ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
cost-diff	5	(-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(*.f64 (cosh.f64 im) (cos.f64 re))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	510
0	80	510
1	171	510
2	590	502
3	3511	482
0	8481	482

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
im
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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))
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/24 binary64) re)
#s(literal 1/24 binary64)
re
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
(*.f64 re re)
#s(literal -1/2 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))
#s(literal 1 binary64)

Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
(cosh.f64 im)
im
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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))
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))) (.f64 re re) (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 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) re) re #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) re) re))
(*.f64 #s(literal 1/24 binary64) re)
#s(literal 1/24 binary64)
re
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) re) re #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal -1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))
(*.f64 re re)
#s(literal -1/2 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))
#s(literal 1 binary64)

localize180.0ms (2.2%)

Memory

-22.6MiB live, 220.1MiB allocated; 35ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.639700598120264	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
accuracy	7.970857674136548	(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))
accuracy	9.183593750000002	(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy	24.841979933098123	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
accuracy	0.03125	(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
accuracy	0.4109588664854463	(.f64 #s(literal 1/48 binary64) (.f64 re re))
accuracy	14.383698690776237	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	30.1295736926123	#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.037441259768442016	(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.08984375	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	6.639700598120264	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
accuracy	23.717343999646058	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	28.234801582108478	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	29.51460518200232	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(cosh.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(*.f64 (cosh.f64 im) (cos.f64 re))

Samples

127.0ms

256×

valid

Compiler

Compiled 357 to 45 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 42.0ms (41.3% of total)

ival-add: 35.0ms (34.4% of total)

ival-cos: 7.0ms (6.9% of total)

const: 6.0ms (5.9% of total)

ival-exp: 3.0ms (2.9% of total)

ival-cosh: 3.0ms (2.9% of total)

ival-sub: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series22.0ms (0.3%)

Memory

35.4MiB live, 35.4MiB allocated; 0ms collecting garbage

Counts

21 → 77

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
(cos.f64 re)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)
(* 1/48 (pow re 2))
(* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 2) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/2 (/ 1 (pow re 2)))))
(* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 2) (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1/2 (* 1/24 (pow im 2)))
(- (* 1/24 (pow re 2)) 1/2)
(- (+ (* 1/24 (pow re 2)) (* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))) 1/2)
(- (+ (* 1/24 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))) 1/2)
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (* (pow im 4) (- (* 1/24 (pow re 2)) 1/2)))
(* (pow im 4) (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2)))))
(* (pow im 4) (- (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (+ (* 1/24 (/ (pow re 2) (pow im 4))) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) (/ 1/2 (pow im 4))))
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 4))))))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2)))
4.0ms	im	@	inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2)))
4.0ms	re	@	-inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2)))
3.0ms	im	@	-inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2)))
3.0ms	re	@	0	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2)))

simplify187.0ms (2.3%)

Memory

13.3MiB live, 199.3MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1545
1	961	1465
2	3690	1306
0	8326	1209

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

Inputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)
(* 1/48 (pow re 2))
(* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 2) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/2 (/ 1 (pow re 2)))))
(* 1/24 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 2) (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1/2 (* 1/24 (pow im 2)))
(- (* 1/24 (pow re 2)) 1/2)
(- (+ (* 1/24 (pow re 2)) (* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))) 1/2)
(- (+ (* 1/24 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))) 1/2)
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))
(+ (exp im) (exp (neg im)))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (* (pow im 4) (- (* 1/24 (pow re 2)) 1/2)))
(* (pow im 4) (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2)))))
(* (pow im 4) (- (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (+ (* 1/24 (/ (pow re 2) (pow im 4))) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) (/ 1/2 (pow im 4))))
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 4))))))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
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rewrite250.0ms (3%)

Memory

-44.6MiB live, 345.8MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	408
0	80	408
1	319	396
2	2513	396
0	8419	392

Stop Event

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

Counts

21 → 341

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
(cos.f64 re)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (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 (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))

Outputs
(*.f64 (cos.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (cos.f64 re))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (neg.f64 (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 0 binary64) (sin.f64 re)))
(+.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 im)) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (*.f64 im #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (*.f64 im im) #s(literal 1 binary64)) #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) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 im (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (neg.f64 im)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal 1/48 binary64))))))
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(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 #s(literal 1/24 binary64) re)) re (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 re re)) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (.f64 re re) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re) (.f64 #s(literal 1/24 binary64) re) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) im (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 (.f64 #s(literal 1/24 binary64) re) re) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) re) re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 im (.f64 (.f64 #s(literal 1/24 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 im #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 (.f64 #s(literal 1/24 binary64) re) (.f64 re (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re re) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 #s(literal 1/24 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 re (.f64 (.f64 #s(literal 1/24 binary64) re) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (*.f64 re re)))
(fma.f64 im (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (.f64 #s(literal 1/24 binary64) re) re)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))
(-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (.f64 re re)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (neg.f64 im)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (.f64 re re)))
(+.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1/24 binary64)) (.f64 re re)) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal -1/2 binary64)))

eval105.0ms (1.3%)

Memory: 13.3MiB live, 100.1MiB allocated; 18ms collecting garbage
Compiler: Compiled 39 572 to 2 561 computations (93.5% saved)

prune35.0ms (0.4%)

Memory

12.5MiB live, 57.9MiB allocated; 6ms collecting garbage

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	498	7	505
Fresh	2	8	10
Picked	2	3	5
Done	0	4	4
Total	502	22	524

Accuracy

100.0%

Counts

524 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
✓	77.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	53.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	64.4%	(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	65.5%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
▶	92.6%	(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
	52.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	39.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	52.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	38.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	51.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	35.0%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	49.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	32.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	89.6%	#s(approx (* (* 1 (cosh im)) (cos re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re)))
✓	89.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)))
	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
▶	48.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
	57.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
	28.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))

Compiler

Compiled 1 090 to 718 computations (34.1% saved)

simplify211.0ms (2.6%)

Memory

-2.5MiB live, 285.7MiB allocated; 32ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re))
cost-diff	0	(fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
cost-diff	0	(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	#s(approx (* 1 (cosh 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)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	654
0	98	650
1	208	650
2	713	630
3	3986	630
0	8121	622

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
#s(approx (* 1 (cosh 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)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re)
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 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))
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
(*.f64 re re)

Outputs
(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
(.f64 (cos.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* 1 (cosh 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 (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (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 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #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))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))))
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (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 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re))
#s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)
(.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) #s(literal 1/24 binary64)) re)
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) #s(literal 1/24 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 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
(*.f64 re re)

localize225.0ms (2.7%)

Memory

2.1MiB live, 279.5MiB allocated; 69ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.639700598120264	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
accuracy	9.183593750000002	(fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	24.841979933098123	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
accuracy	33.09143892049148	#s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re))
accuracy	0.03125	(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
accuracy	0.4109588664854463	(.f64 #s(literal 1/48 binary64) (.f64 re re))
accuracy	29.51460518200232	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	30.1295736926123	#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.05078125	(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
accuracy	0.08984375	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	6.639700598120264	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
accuracy	23.717343999646058	#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 im im #s(literal 2 binary64))
accuracy	0.0078125	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	14.383698690776237	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	28.234801582108478	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0.03515625	(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))
accuracy	0.04296875	(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))
accuracy	0.08203125	(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	4.7371165577135095	#s(approx (* 1 (cosh 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)))

Samples

123.0ms

256×

valid

Compiler

Compiled 392 to 57 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 55.0ms (58% of total)

ival-add: 14.0ms (14.8% of total)

const: 9.0ms (9.5% of total)

ival-cos: 6.0ms (6.3% of total)

ival-exp: 3.0ms (3.2% of total)

ival-cosh: 3.0ms (3.2% of total)

ival-sub: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.2%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Counts

24 → 87

Calls

Call 1

Inputs
(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
#s(approx (* 1 (cosh 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))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 re re))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)
(* 1/48 (pow re 2))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 2) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(cos re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/2 im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(- (* 1/24 (pow re 2)) 1/2)
(- (+ (* 1/24 (pow re 2)) (* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))) 1/2)
(- (+ (* 1/24 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))) 1/2)
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(+ (exp im) (exp (neg im)))
(pow im 2)
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 3))
(* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 4))))))))
(* 1/24 (* (pow im 4) (- (* 1/24 (pow re 2)) 1/2)))
(* (pow im 4) (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2)))))
(* (pow im 4) (- (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (+ (* 1/24 (/ (pow re 2) (pow im 4))) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) (/ 1/2 (pow im 4))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (+ (* 1/720 (* im im)) 1/24) (+ (* (* im im) 1/24) 1/2) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)))
3.0ms	im	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (+ (* 1/720 (* im im)) 1/24) (+ (* (* im im) 1/24) 1/2) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)))
3.0ms	re	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (+ (* 1/720 (* im im)) 1/24) (+ (* (* im im) 1/24) 1/2) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)))
3.0ms	re	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (+ (* 1/720 (* im im)) 1/24) (+ (* (* im im) 1/24) 1/2) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)))
2.0ms	re	@	0	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (+ (* 1/720 (* im im)) 1/24) (+ (* (* im im) 1/24) 1/2) (+ (exp (neg im)) (exp im)) (* 1/48 (* re re)))

simplify739.0ms (9%)

Memory

-70.1MiB live, 232.9MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	1539
1	1021	1467
2	3821	1328
0	8531	1232

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 87

Calls

Call 1

Inputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)
(* 1/48 (pow re 2))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* (pow re 2) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(cos re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/2 im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(- (* 1/24 (pow re 2)) 1/2)
(- (+ (* 1/24 (pow re 2)) (* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))) 1/2)
(- (+ (* 1/24 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))) 1/2)
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(+ (exp im) (exp (neg im)))
(pow im 2)
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 3))
(* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 4))))))))
(* 1/24 (* (pow im 4) (- (* 1/24 (pow re 2)) 1/2)))
(* (pow im 4) (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2)))))
(* (pow im 4) (- (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (+ (* 1/24 (/ (pow re 2) (pow im 4))) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) (/ 1/2 (pow im 4))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)))))
(* 1/2 (+ (exp im) (exp (neg im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) re) re (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2))))
(fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/720 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/720)))))) 1/2))))
(fma.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/720 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/720 binary64)) (.f64 re re)) (.f64 re re))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow re 2)) 1/4)
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
(- (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/2)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) #s(literal 1/2 binary64))
(- (+ (* -1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) 1/2)
(-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(* 1/48 (pow re 2))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(+ (cos re) (* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re))
(* 1/48 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) re) re)
(* (pow re 4) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (/ 1 (pow re 4)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4)))))) (* 1/2 (/ 1 (pow re 2)))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal -1/24 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (pow.f64 re #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 2) (+ 1/24 (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)
(* (pow re 2) (- (+ 1/24 (+ (* -1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* 1/24 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/2 (/ 1 (pow re 2)))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 re re)) #s(literal -1/24 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (*.f64 re re))
(cos re)
(cos.f64 re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(fma.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) (*.f64 im im) (cos.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(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))
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(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))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(* 1/2 im)
(*.f64 #s(literal 1/2 binary64) im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) re) re))) #s(literal 1 binary64))
(+ 1 (+ (* (pow im 2) (+ 1/2 (+ (* 1/2 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (* (pow im 2) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))))) (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))))
(fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) re) re) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 im im) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(- (* 1/24 (pow re 2)) 1/2)
(-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(- (+ (* 1/24 (pow re 2)) (* 1/2 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2)))) 1/2)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(- (+ (* 1/24 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 1/24 (pow re 2)) 1/2))) (* 1/2 (- (* 1/24 (pow re 2)) 1/2))))) 1/2)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im) (-.f64 (.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow im 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/720 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))
(fma.f64 im im #s(literal 2 binary64))
(* 1/24 (* (pow im 4) (cos re)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (cos.f64 re))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(.f64 (.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(.f64 (fma.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal -1/24 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* 1/24 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(* (pow im 4) (+ 1/24 (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/24 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (* 1/2 (/ 1 (pow im 2)))))))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) re) re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/24 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (+ (* 1/2 (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 2))) (+ (* 1/2 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (/ (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)) (pow im 4))))))))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) re) re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (-.f64 (/.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* 1/24 (* (pow im 4) (- (* 1/24 (pow re 2)) 1/2)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow im 4) (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2)))))
(.f64 (.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (+ (* 1/24 (- (* 1/24 (pow re 2)) 1/2)) (+ (* 1/24 (/ (pow re 2) (pow im 4))) (* 1/2 (/ (- (* 1/24 (pow re 2)) 1/2) (pow im 2))))) (/ 1/2 (pow im 4))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* 1/720 (pow im 2))
(.f64 #s(literal 1/720 binary64) (.f64 im im))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite179.0ms (2.2%)

Memory

-28.4MiB live, 288.2MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	552
0	98	548
1	398	536
2	3032	536
0	8287	524

Stop Event

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

Counts

24 → 244

Calls

Call 1

Inputs
(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
#s(approx (* 1 (cosh 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))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (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 (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 re re))

Outputs
(.f64 (cos.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im)) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im)) #s(literal 1 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im)))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (neg.f64 im)) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) (.f64 im #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 (.f64 im im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 im (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im)) im))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))) (.f64 im im)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im))
(/.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (.f64 im #s(literal 1/2 binary64)))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (.f64 im #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (.f64 im #s(literal 1/2 binary64)))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (.f64 im #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (.f64 im #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)))
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#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
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(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 im im)))
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(fma.f64 im (fabs.f64 (*.f64 #s(literal 1/720 binary64) im)) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 #s(literal 1/720 binary64) im) #s(literal 1/24 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #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 (neg.f64 (.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 (.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 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))
(/.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal 1/48 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 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 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 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)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (*.f64 im im) #s(literal 1/48 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 im))) im #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) im)) im #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1/24 binary64)) #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 (fabs.f64 (*.f64 (neg.f64 im) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 im (fabs.f64 (*.f64 #s(literal 1/24 binary64) im)) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 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 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 im im)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 im im)) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 im) (.f64 #s(literal 1/24 binary64) im)))
(+.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal 1/48 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(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 1/48 binary64) (neg.f64 re))) re)
(.f64 (fabs.f64 (.f64 #s(literal 1/48 binary64) re)) re)
(.f64 (.f64 #s(literal 1/48 binary64) (neg.f64 re)) (neg.f64 re))
(.f64 (.f64 #s(literal 1/48 binary64) re) re)
(.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1/48 binary64)))
(.f64 (.f64 re re) #s(literal 1/48 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(.f64 re (fabs.f64 (.f64 (neg.f64 re) #s(literal 1/48 binary64))))
(.f64 re (fabs.f64 (.f64 #s(literal 1/48 binary64) re)))
(.f64 re (.f64 #s(literal 1/48 binary64) re))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)))
(fabs.f64 (neg.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64))))
(fabs.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)))

eval152.0ms (1.8%)

Memory: -0.9MiB live, 197.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 22 599 to 1 871 computations (91.7% saved)

prune67.0ms (0.8%)

Memory

-28.8MiB live, 69.7MiB allocated; 10ms collecting garbage

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	367	9	376
Fresh	3	7	10
Picked	3	2	5
Done	1	6	7
Total	374	24	398

Accuracy

100.0%

Counts

398 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im)))
✓	77.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	64.4%	(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	65.5%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
✓	92.6%	(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
	92.6%	(.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re))
	89.6%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
	52.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	39.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	52.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	51.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	35.0%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	49.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	20.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
✓	32.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	53.9%	#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
✓	89.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)))
	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	57.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
	47.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
	57.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
	38.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))

Compiler

Compiled 1 889 to 653 computations (65.4% saved)

regimes66.0ms (0.8%)

Memory

11.0MiB live, 143.2MiB allocated; 15ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	re
12.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms	im
10.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes66.0ms (0.8%)

Memory

-3.4MiB live, 100.9MiB allocated; 12ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh 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))) (cos.f64 re))

(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Calls

6 calls:

16.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
15.0ms	re
9.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
92.6%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
96.0%	2	`(cos.f64 re)`
96.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
97.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
96.0%	2	`re`
97.8%	3	`im`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes9.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh 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))) (cos.f64 re))

(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
97.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes11.0ms (0.1%)

Memory

-22.6MiB live, 22.4MiB allocated; 5ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
99.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes8.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

28 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))

Outputs

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

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

(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes10.0ms (0.1%)

Memory

-24.2MiB live, 20.6MiB allocated; 4ms collecting garbage

Counts

26 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))

Outputs

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

#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))

(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

25 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))

(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
98.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes63.0ms (0.8%)

Memory

-31.0MiB live, 71.4MiB allocated; 6ms collecting garbage

Counts

21 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))

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

Calls

6 calls:

17.0ms	im
6.0ms	re
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(cos.f64 re)
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
79.5%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
71.2%	2	`(cos.f64 re)`
71.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.9%	2	`re`
82.1%	3	`im`
90.5%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes38.0ms (0.5%)

Memory

9.5MiB live, 100.6MiB allocated; 8ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal 1/24 binary64)) re) re)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) re) re (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

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

Calls

6 calls:

8.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	im
5.0ms	(cos.f64 re)
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
61.5%	3	`re`
69.3%	2	`(cos.f64 re)`
69.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
58.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
58.0%	1	`im`
69.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes14.0ms (0.2%)

Memory

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

Counts

16 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) #s(approx (+ (* (- (+ (* (* 1/24 re) re) (* (* (* (+ (* (* im im) 1/24) 1/2) im) im) (+ (* 1/24 (* re re)) -1/2))) 1/2) (* re re)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

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

Calls

3 calls:

5.0ms	(cos.f64 re)
4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
68.3%	2	`(cos.f64 re)`
68.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
68.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes11.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

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

Calls

3 calls:

3.0ms	(cos.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
63.1%	2	`(cos.f64 re)`
63.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
63.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes48.0ms (0.6%)

Memory

-53.0MiB live, 8.3MiB allocated; 22ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

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

Calls

3 calls:

42.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
62.9%	2	`(cos.f64 re)`
62.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
62.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

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

Calls

6 calls:

2.0ms	im
2.0ms	(cos.f64 re)
2.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
49.6%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
49.6%	1	`im`
49.6%	1	`re`
54.7%	2	`(cos.f64 re)`
54.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
54.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

2.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
49.6%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
49.6%	1	`re`
49.6%	1	`(cos.f64 re)`
49.6%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
49.6%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 24 to 26 computations (-8.3% saved)

regimes8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	re
1.0ms	im
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
49.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
36.5%	2	`(cos.f64 re)`
36.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
49.4%	2	`im`
49.4%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
36.5%	2	`re`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes42.0ms (0.5%)

Memory

-27.7MiB live, 17.6MiB allocated; 8ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

36.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	im
1.0ms	re
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
32.1%	1	`(cos.f64 re)`
32.1%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
32.1%	1	`re`
32.1%	1	`im`
32.1%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
32.1%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999987318	1.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999987318	1.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999987318	1.0
0.0ms	-inf	-9.306170694309706e+46

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999987318	1.0
0.0ms	-inf	-9.306170694309706e+46

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999987318	1.0
0.0ms	-inf	-9.306170694309706e+46

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999987318	1.0
0.0ms	-inf	-9.306170694309706e+46

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999987318	1.0
0.0ms	-inf	-9.306170694309706e+46

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.016699596148331115	0.051725873997657414

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.016699596148331115	0.051725873997657414

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.016699596148331115	0.051725873997657414

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.016699596148331115	0.051725873997657414

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.016699596148331115	0.051725873997657414

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000823712873	8.430038053854862e+20

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify61.0ms (0.7%)

Memory

15.0MiB live, 59.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	932
1	180	932
2	383	927
3	1379	927
4	6944	927

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) (.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re)) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) (.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (cos.f64 re))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) (.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re)) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) (.f64 #s(approx ( 1 (cosh 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))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (cos.f64 re))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007199254729569/9007199254740992 binary64)) #s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (+ (* (* (+ (* (* im im) 1/24) 1/2) (cos re)) (* im im)) (cos re)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

derivations1.5s (18.8%)

Memory

-28.9MiB live, 1 073.5MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	408
0	80	408
1	319	396
2	2513	396
0	8419	392
0	66	552
0	98	548
1	398	536
2	3032	536
0	8287	524
0	240	1262
1	934	1084
2	3878	1026
0	8522	926
0	33	152
0	52	148
1	191	130
2	1447	127
0	10478	127
0	275	1539
1	1021	1467
2	3821	1328
0	8531	1232
0	261	1545
1	961	1465
2	3690	1306
0	8326	1209
0	10	25
0	17	25
1	57	21
2	408	19
3	4743	19
0	8284	19
0	108	355
1	408	324
2	1700	315
3	6893	315
0	8192	284

Stop Event

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

Compiler

Compiled 944 to 124 computations (86.9% saved)

preprocess135.0ms (1.6%)

Memory

-2.6MiB live, 138.6MiB allocated; 18ms collecting garbage

Remove

(abs re)

(abs im)

Compiler

Compiled 1 930 to 288 computations (85.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (15.8%)

explain167.0ms (2%)

preprocess176.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify150.0ms (1.8%)

localize52.0ms (0.6%)

series67.0ms (0.8%)

simplify295.0ms (3.6%)

rewrite233.0ms (2.8%)

eval43.0ms (0.5%)

prune7.0ms (0.1%)

simplify220.0ms (2.7%)

localize131.0ms (1.6%)

series27.0ms (0.3%)

simplify197.0ms (2.4%)

rewrite216.0ms (2.6%)

eval98.0ms (1.2%)

prune24.0ms (0.3%)

simplify288.0ms (3.5%)

localize180.0ms (2.2%)

series22.0ms (0.3%)

simplify187.0ms (2.3%)

rewrite250.0ms (3%)

eval105.0ms (1.3%)

prune35.0ms (0.4%)

simplify211.0ms (2.6%)

localize225.0ms (2.7%)

series19.0ms (0.2%)

simplify739.0ms (9%)

rewrite179.0ms (2.2%)

eval152.0ms (1.8%)

prune67.0ms (0.8%)

regimes66.0ms (0.8%)

regimes66.0ms (0.8%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes63.0ms (0.8%)

regimes38.0ms (0.5%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes48.0ms (0.6%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes42.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify61.0ms (0.7%)

derivations1.5s (18.8%)

preprocess135.0ms (1.6%)

end0.0ms (0%)

Profiling