Metrics for math.cos on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

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)

sample1.6s (17.7%)

Memory

-35.0MiB live, 1 332.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 796.0ms

ival-cos: 269.0ms (33.8% of total)

ival-mult: 184.0ms (23.1% of total)

ival-exp: 163.0ms (20.5% of total)

ival-neg: 132.0ms (16.6% of total)

ival-add: 36.0ms (4.5% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain181.0ms (2%)

Memory

21.9MiB live, 146.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 81 to 34 computations (58% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 10.0ms (35.9% of total)

ival-exp: 6.0ms (21.5% of total)

ival-mult: 6.0ms (21.5% of total)

ival-add: 2.0ms (7.2% of total)

ival-neg: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess64.0ms (0.7%)

Memory

-10.9MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Rules

204×	`times-frac`
194×	`associate-r`
174×	`distribute-lft-neg-in`
170×	`cancel-sign-sub-inv`
162×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	57
1	91	55
2	258	55
3	587	55
4	910	55
5	1191	55
6	1418	55
7	1591	55
8	1641	55
9	1646	55
10	1646	55
11	1646	55
0	10	11
0	17	11
1	34	11
2	73	11
3	107	11
4	129	11
5	156	11
6	178	11
7	181	11
8	183	11
9	188	11
10	188	11
0	188	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(abs im)

(abs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

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)

simplify9.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

124×	`lower-*.f32`
120×	`lower-*.f64`
76×	`lower-fma.f64`
76×	`lower-fma.f32`
52×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Stop Event

1×	iter limit
1×	saturated
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 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.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 (exp.f64 im) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize66.0ms (0.7%)

Memory

10.3MiB live, 47.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.00390625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Samples

58.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 38.0ms (75.7% of total)

ival-cos: 5.0ms (10% of total)

ival-exp: 4.0ms (8% of total)

ival-add: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.5%)

Memory

-24.6MiB live, 13.4MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())
#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())
#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())

Outputs
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow re 2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (exp (neg im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt 2 (taylor 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (pow im 2)) (taylor 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) (taylor 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) (taylor 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 im)) (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* im (- (* 1/2 im) 1))) (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (taylor 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ 1 im) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* 1/2 im)))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	re	@	inf	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	im	@	0	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	im	@	inf	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	im	@	-inf	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	re	@	-inf	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))

simplify318.0ms (3.5%)

Memory

15.1MiB live, 254.4MiB allocated

Algorithm

1×	egg-herbie

Rules

25 308×	`lower-fma.f64`
25 308×	`lower-fma.f32`
5 874×	`lower-+.f64`
5 874×	`lower-+.f32`
3 736×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	655
1	346	623
2	1071	613
3	3276	596
4	7351	596
5	7956	596
0	8023	556

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
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 (+ (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 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
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
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(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 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(exp (neg im))
(exp (neg im))
(exp (neg im))
(exp (neg im))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(exp im)
(exp im)
(exp im)
(exp im)
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(exp im)
(exp im)
(exp im)
(exp im)

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

rewrite449.0ms (5%)

Memory

2.7MiB live, 284.5MiB allocated

Rules

5 022×	`lower-*.f32`
5 018×	`lower-*.f64`
4 226×	`lower-/.f64`
4 226×	`lower-/.f32`
3 640×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	17	28
1	47	24
2	285	22
3	2485	22
0	9034	22

Stop Event

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

Counts

6 → 276

Calls

Call 1

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

Outputs
(.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 (cos.f64 re) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (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 -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (exp.f64 im) #s(literal 9/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -9/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 6 binary64))) (pow.f64 (exp.f64 im) #s(literal -6 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.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 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (-.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 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (+.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 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (pow.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (/.f64 (.f64 (cosh.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 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))) (neg.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal 9/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -9/2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 6 binary64))) (pow.f64 (exp.f64 im) #s(literal -6 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.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 (neg.f64 (.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal 9/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -9/2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (expm1.f64 (.f64 im #s(literal 6 binary64))) (pow.f64 (exp.f64 im) #s(literal -6 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (*.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
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(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (neg.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re)))))
(/.f64 (neg.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (.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 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))))
(/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (cos.f64 re) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(+.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.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 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 im))
(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 (neg.f64 (neg.f64 (exp.f64 im))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(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 im)

eval70.0ms (0.8%)

Memory: 7.4MiB live, 45.7MiB allocated
Compiler: Compiled 7 796 to 1 049 computations (86.5% saved)

prune52.0ms (0.6%)

Memory

-17.4MiB live, 20.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	356	4	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	4	361

Accuracy

100.0%

Counts

361 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
▶	75.2%	(.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))))
▶	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Compiler

Compiled 36 to 33 computations (8.3% saved)

simplify256.0ms (2.8%)

Memory

3.7MiB live, 155.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
cost-diff	640	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))))
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	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
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	(cos.f64 re)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Rules

4 988×	`lower-*.f32`
4 970×	`lower-*.f64`
2 070×	`lower-fma.f32`
2 068×	`lower-fma.f64`
1 324×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	132
0	45	128
1	100	124
2	272	114
3	784	110
4	2403	110
5	6591	110
0	8284	110

Stop Event

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

Calls

Call 1

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

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

localize204.0ms (2.3%)

Memory

7.6MiB live, 259.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(sinh.f64 (*.f64 #s(literal 2 binary64) im))
accuracy	0.05859375	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))))
accuracy	0.3437479358302058	(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(cosh.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(.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	0.47830546593448653	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0	(cos.f64 re)
accuracy	0.6218840482110783	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Samples

143.0ms	119×	5	exit
40.0ms	137×	0	valid

Compiler

Compiled 122 to 27 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 32.0ms (29.4% of total)

ival-exp: 27.0ms (24.8% of total)

adjust: 26.0ms (23.9% of total)

ival-cos: 13.0ms (11.9% of total)

ival-add: 5.0ms (4.6% of total)

ival-cosh: 2.0ms (1.8% of total)

ival-sinh: 2.0ms (1.8% of total)

ival-div: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

-12.0MiB live, 62.5MiB allocated

Counts

12 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())
#s(alt (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (patch (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (sinh.f64 (.f64 #s(literal 2 binary64) im)) (patch (sinh.f64 (.f64 #s(literal 2 binary64) im)) #<representation:binary64>) () ())

Outputs
#s(alt (* 1/2 (+ (exp im) (exp (neg im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow re 2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (exp (neg im)))) (taylor 0 re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (taylor 0 re) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (taylor 0 re) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))) (taylor 0 re) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))))) (taylor 0 re) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))))))) (taylor 0 re) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (patch (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (patch (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (patch (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (patch (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (taylor inf re) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (patch (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (patch (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (taylor -inf im) (#s(alt (sinh.f64 (.f64 #s(literal 2 binary64) im)) (patch (sinh.f64 (.f64 #s(literal 2 binary64) im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (taylor -inf im) (#s(alt (sinh.f64 (.f64 #s(literal 2 binary64) im)) (patch (sinh.f64 (.f64 #s(literal 2 binary64) im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (taylor -inf im) (#s(alt (sinh.f64 (.f64 #s(literal 2 binary64) im)) (patch (sinh.f64 (.f64 #s(literal 2 binary64) im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (taylor -inf im) (#s(alt (sinh.f64 (.f64 #s(literal 2 binary64) im)) (patch (sinh.f64 (.f64 #s(literal 2 binary64) im)) #<representation:binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (cos re) 1/2) (sinh (* 2 im)))
7.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (cos re) 1/2) (sinh (* 2 im)))
6.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (cos re) 1/2) (sinh (* 2 im)))
3.0ms	re	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (cos re) 1/2) (sinh (* 2 im)))
3.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (cos re) 1/2) (sinh (* 2 im)))

simplify247.0ms (2.8%)

Memory

7.5MiB live, 321.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 330×	`lower-fma.f64`
13 330×	`lower-fma.f32`
5 674×	`lower-*.f64`
5 674×	`lower-*.f32`
5 444×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	2845
1	765	2614
2	2406	2495
3	6160	2455
0	8208	2352

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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
(+ 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)))
(* 1/2 (+ (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 (* 2 im)) (/ 1 (exp (* 2 im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))))
(* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))
(+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp 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)))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 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)))))))
(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
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 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 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 2 (* im (cos re)))
(* im (+ (* 4/3 (* (pow im 2) (cos re))) (* 2 (cos re))))
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/15 (* (pow im 2) (cos re))) (* 4/3 (cos re))))))
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/3 (cos re)) (* (pow im 2) (+ (* 8/315 (* (pow im 2) (cos re))) (* 4/15 (cos re))))))))
(cos re)
(+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re))))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))))))
(* 2 im)
(* im (+ 2 (* 4/3 (pow im 2))))
(* im (+ 2 (* (pow im 2) (+ 4/3 (* 4/15 (pow im 2))))))
(* im (+ 2 (* (pow im 2) (+ 4/3 (* (pow im 2) (+ 4/15 (* 8/315 (pow im 2))))))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (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)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (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)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))

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

rewrite201.0ms (2.2%)

Memory

13.7MiB live, 345.5MiB allocated

Rules

4 696×	`lower-*.f32`
4 678×	`lower-*.f64`
3 740×	`lower-/.f32`
3 738×	`lower-/.f64`
2 604×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	95
0	45	80
1	136	66
2	781	66
3	7757	66
0	8136	66

Stop Event

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

Counts

12 → 922

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(cos.f64 re)
(.f64 (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (cos.f64 re) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re)))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))
(.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 (.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (neg.f64 (cos.f64 re)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (cos.f64 re)))
(/.f64 (cos.f64 re) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 4 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(.f64 (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) im)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im))) (/.f64 #s(literal 2 binary64) (sinh.f64 im)))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.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 (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (sinh.f64 im)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 im)))
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) (cosh.f64 im)))
(.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (.f64 (sinh.f64 im) (cosh.f64 im)))
(.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) (/.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.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 #s(literal 1/2 binary64) (sinh.f64 im)) (sinh.f64 (.f64 #s(literal 2 binary64) im)))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 4 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))
(.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (sinh.f64 im) #s(literal -1 binary64)))
(.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im))))
(*.f64 (sinh.f64 im) (/.f64 (cosh.f64 im) (sinh.f64 im)))
(.f64 (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im))))
(.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 im) #s(literal 2 binary64))))
(.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)))
(.f64 (cosh.f64 im) (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (sinh.f64 im) #s(literal -1 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))
(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(/.f64 (.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) (.f64 (.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (.f64 (.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (+.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 9 binary64))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64)))
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(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal 4 binary64) (cosh.f64 im))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))))) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 im))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (.f64 (sinh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))))) (.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im)))) (.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))))
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 im)) (/.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(/.f64 (sinh.f64 im) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (.f64 (sinh.f64 im) #s(literal 2 binary64))))
(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (sinh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im))))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (sinh.f64 im) #s(literal -1 binary64)))
(sinh.f64 (*.f64 #s(literal 2 binary64) im))
(neg.f64 (neg.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 im) (cosh.f64 im))) #s(literal 2 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 1 binary64) (.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cosh.f64 im)) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (sinh.f64 im) (cosh.f64 im) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (sinh.f64 im) (exp.f64 im) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 im) (exp.f64 im)))
(fma.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64) (.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (cosh.f64 im) (sinh.f64 im) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 #s(literal 1 binary64) (.f64 (sinh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 2 binary64)) (.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(fma.f64 (exp.f64 im) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (neg.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 im) (sinh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im) (*.f64 (exp.f64 im) (sinh.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)) (.f64 (sinh.f64 im) (cosh.f64 im)))
(-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 im) (sinh.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)) (.f64 (exp.f64 im) (sinh.f64 im)))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (.f64 (sinh.f64 im) (exp.f64 im)) (.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sinh.f64 im) (exp.f64 im)))
(+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 im) (cosh.f64 im)))

eval231.0ms (2.6%)

Memory: -16.1MiB live, 287.1MiB allocated
Compiler: Compiled 20 245 to 2 102 computations (89.6% saved)

prune45.0ms (0.5%)

Memory

4.7MiB live, 101.8MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 170	13	1 183
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 172	15	1 187

Accuracy

100.0%

Counts

1 187 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
▶	64.9%	(.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))))
	64.9%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
✓	75.2%	(.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))))
▶	91.5%	(.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))
	88.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
	50.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #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))))
▶	49.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.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))))
	49.0%	(.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)) (fma.f64 im im #s(literal 2 binary64))))
	46.3%	(.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))))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	38.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
▶	36.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	33.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
▶	31.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

Compiler

Compiled 363 to 285 computations (21.5% saved)

simplify37.0ms (0.4%)

Memory

3.4MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.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))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
cost-diff	0	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.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 (fma.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 (fma.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 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
cost-diff	0	#s(approx (cos re) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 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))

Rules

1 248×	`lower-fma.f32`
1 230×	`lower-fma.f64`
614×	`lower-*.f32`
602×	`lower-*.f64`
454×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	301
0	70	293
1	130	293
2	236	281
3	479	281
4	832	281
5	1101	281
6	1233	281
7	1420	281
8	1473	281
9	1473	281
0	1473	281

Stop Event

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

localize159.0ms (1.8%)

Memory

-17.2MiB live, 214.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(cosh.f64 im)
accuracy	0.00390625	(.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))))
accuracy	29.78939614113191	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
accuracy	0.029628759768442016	(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
accuracy	0.10546875	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
accuracy	15.82972953559716	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	29.869232506977422	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.029628759768442016	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
accuracy	0.10546875	(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
accuracy	29.4425007119934	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
accuracy	29.86913215736832	#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
accuracy	27.350629552265225	#s(approx (cos re) #s(literal 1 binary64))
accuracy	29.4425007119934	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
accuracy	0.03125	(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	0.03515625	(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	0.09375	(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	5.442600155005191	#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

106.0ms

256×

valid

Compiler

Compiled 201 to 41 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 30.0ms (47.3% of total)

ival-add: 10.0ms (15.8% of total)

const: 10.0ms (15.8% of total)

ival-cos: 5.0ms (7.9% of total)

ival-exp: 3.0ms (4.7% of total)

ival-cosh: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series36.0ms (0.4%)

Memory

3.5MiB live, 47.3MiB allocated

Counts

20 → 300

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (exp (neg im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())

Calls

6 calls:

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

simplify271.0ms (3%)

Memory

14.5MiB live, 408.8MiB allocated

Algorithm

1×	egg-herbie

Rules

25 290×	`lower-fma.f64`
25 290×	`lower-fma.f32`
6 454×	`lower-+.f64`
6 454×	`lower-+.f32`
4 440×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	3154
1	517	2999
2	1427	2957
3	4133	2856
0	8396	2688

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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

rewrite193.0ms (2.1%)

Memory

29.0MiB live, 417.6MiB allocated

Rules

5 170×	`lower-*.f32`
5 158×	`lower-*.f64`
4 518×	`lower-fma.f32`
4 500×	`lower-fma.f64`
4 182×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	256
0	70	248
1	256	232
2	1699	232
0	8296	232

Stop Event

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

Counts

20 → 301

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

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 (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)) (pow.f64 (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(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)) (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)))
(pow.f64 (/.f64 (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 (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))) #s(literal -1 binary64))
(pow.f64 (/.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)) (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))) #s(literal -1 binary64))
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(.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (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)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (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 (pow.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 im #s(literal 12 binary64))) #s(literal 1/191102976 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/331776 binary64) (.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64)))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 im #s(literal 12 binary64))) #s(literal 1/191102976 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal 1/17280 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/51998697814228992000000000 binary64) (pow.f64 im #s(literal 18 binary64)) #s(literal 1/2641807540224 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 im #s(literal 12 binary64)) (-.f64 #s(literal 1/191102976 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/5159780352000 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 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (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 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 #s(literal 1/720 binary64) im) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 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)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))

eval95.0ms (1.1%)

Memory: -47.2MiB live, 243.4MiB allocated
Compiler: Compiled 14 676 to 1 776 computations (87.9% saved)

prune25.0ms (0.3%)

Memory

0.5MiB live, 86.2MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	594	7	601
Fresh	2	6	8
Picked	2	3	5
Done	0	2	2
Total	598	18	616

Accuracy

100.0%

Counts

616 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
▶	64.9%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
✓	75.2%	(.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))))
	64.9%	(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
✓	91.5%	(.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))
	60.1%	(.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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
▶	88.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
▶	58.2%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
	50.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #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))))
▶	49.0%	(.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)) (fma.f64 im im #s(literal 2 binary64))))
	49.0%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	46.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	38.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
✓	36.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	35.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
▶	33.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
✓	31.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

Compiler

Compiled 443 to 339 computations (23.5% saved)

simplify31.0ms (0.3%)

Memory

6.9MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos re) #s(literal 1 binary64))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
cost-diff	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
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 (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	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)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 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 (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re))

Rules

370×	`lower-*.f32`
356×	`lower-*.f64`
338×	`lower-fma.f32`
326×	`lower-fma.f64`
160×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	307
0	64	295
1	117	295
2	197	289
3	303	289
4	400	289
5	490	289
6	553	289
7	643	289
8	695	289
9	695	289
10	696	289
11	698	289
12	698	289
0	698	285

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize151.0ms (1.7%)

Memory

12.1MiB live, 131.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(cosh.f64 im)
accuracy	0.00390625	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
accuracy	27.350629552265225	#s(approx (cos re) #s(literal 1 binary64))
accuracy	0.03125	(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	0.109375	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	7.4582470257289	#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	29.78939614113191	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
accuracy	0	(*.f64 re re)
accuracy	0.00390625	(.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))))
accuracy	15.82972953559716	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	29.789362137527764	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.029628759768442016	(fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
accuracy	29.4425007119934	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
accuracy	29.86913215736832	#s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
accuracy	30.405388829215667	#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
accuracy	0.00390625	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
accuracy	0.03125	(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	0.109375	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	7.4582470257289	#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))

Samples

98.0ms

256×

valid

Compiler

Compiled 192 to 35 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 38.0ms (60.8% of total)

ival-add: 8.0ms (12.8% of total)

ival-cos: 5.0ms (8% of total)

const: 4.0ms (6.4% of total)

ival-exp: 3.0ms (4.8% of total)

ival-cosh: 3.0ms (4.8% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series89.0ms (1%)

Memory

-8.7MiB live, 30.5MiB allocated

Counts

19 → 288

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (patch (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (patch #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) (patch #s(approx (cos re) (fma.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (patch #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #<representation:binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (patch (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())
#s(alt #s(approx (cos re) #s(literal 1 binary64)) (patch #s(approx (cos re) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (patch #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) #<representation:binary64>) () ())

Outputs
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (patch (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (patch (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (patch (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (patch (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (exp (neg im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.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)))) (patch (.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (patch (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (patch (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (patch (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (patch (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation:binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
71.0ms	im	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (exp (neg im)) (exp im)) (cos re))
2.0ms	re	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (exp (neg im)) (exp im)) (cos re))
2.0ms	im	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (exp (neg im)) (exp im)) (cos re))
2.0ms	re	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (exp (neg im)) (exp im)) (cos re))
1.0ms	re	@	0	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (cos re) (+ (exp (neg im)) (exp im)) (cos re))

simplify786.0ms (8.7%)

Memory

15.5MiB live, 335.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22 332×	`lower-fma.f64`
22 332×	`lower-fma.f32`
5 862×	`lower-+.f64`
5 862×	`lower-+.f32`
3 916×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	2888
1	460	2733
2	1274	2699
3	3722	2598
0	8216	2439

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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
(+ 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
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
-1/2
(- (* 1/24 (pow re 2)) 1/2)
(- (* 1/24 (pow re 2)) 1/2)
(- (* 1/24 (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)))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* -1/4 (pow re 2)))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* 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) (/ 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
(+ 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) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/24 (pow re 4))
(* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))
(* 1/24 (pow re 2))
(* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/24 (pow re 4))
(* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))
(* 1/24 (pow re 2))
(* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(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)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 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)))))))
(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)))))))
(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 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 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 (* 1/24 (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 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 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)))))
(* (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)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (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)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 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)))))
(* (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)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (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)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))

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

rewrite180.0ms (2%)

Memory

-14.9MiB live, 338.9MiB allocated

Rules

6 968×	`lower-fma.f32`
6 956×	`lower-fma.f64`
4 470×	`lower-*.f32`
4 456×	`lower-*.f64`
3 802×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	229
0	64	219
1	215	209
2	1350	209
0	8222	205

Stop Event

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

Counts

19 → 254

Calls

Call 1

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

Outputs
(.f64 (cos.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 #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 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #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 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #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 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im)))))
(.f64 (fma.f64 (pow.f64 (fma.f64 #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)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #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 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (.f64 im im))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #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 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(literal -1 binary64))
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(fma.f64 (*.f64 #s(literal -1/4 binary64) re) re #s(literal 1/2 binary64))
(fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 #s(literal -1/4 binary64) re) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 re re)))))
(-.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(.f64 (.f64 re re) #s(literal 1 binary64))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))))
(.f64 (neg.f64 (.f64 #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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 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 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 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 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))) (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(cosh.f64 im)
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)) #s(literal 1 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (cos re) #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(approx (cos re) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 #s(approx (cos re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(.f64 (/.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))))
(.f64 (neg.f64 (.f64 #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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 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 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 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 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))) (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(cosh.f64 im)
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))

eval111.0ms (1.2%)

Memory: 16.5MiB live, 254.8MiB allocated
Compiler: Compiled 14 911 to 1 415 computations (90.5% saved)

prune35.0ms (0.4%)

Memory

-15.3MiB live, 106.6MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	696	8	704
Fresh	1	7	8
Picked	3	2	5
Done	0	5	5
Total	700	22	722

Accuracy

100.0%

Counts

722 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
✓	75.2%	(.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))))
	64.9%	(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	64.9%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
✓	91.5%	(.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))
	60.1%	(.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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	58.9%	(.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))) #s(approx (cos re) #s(literal 1 binary64)))
✓	88.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
	58.9%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
	57.0%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
	58.0%	(.f64 #s(approx ( 1 (cosh im)) (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 (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	32.2%	(.f64 #s(approx ( 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	50.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #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))))
	46.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	10.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	38.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
✓	36.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	35.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
✓	33.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
	33.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
✓	31.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

Compiler

Compiled 786 to 368 computations (53.2% saved)

regimes65.0ms (0.7%)

Memory

-3.1MiB live, 155.4MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	re
12.0ms	im
11.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
11.0ms	(cos.f64 re)
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
100.0%	1	`re`
100.0%	1	`im`
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	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes56.0ms (0.6%)

Memory

27.5MiB live, 144.0MiB allocated

Counts

29 → 3

Calls

Call 1

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

Calls

6 calls:

11.0ms	re
10.0ms	(cos.f64 re)
10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
95.5%	2	`re`
97.7%	3	`im`
100.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
95.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
95.2%	2	`(cos.f64 re)`
91.5%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes11.0ms (0.1%)

Memory

-16.8MiB live, 26.4MiB allocated

Counts

28 → 3

Calls

Call 1

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

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (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
99.9%	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

-6.4MiB live, 32.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

9.0ms

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

Results

Accuracy	Segments	Branch
99.8%	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

28.1MiB live, 28.2MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 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(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #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 (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 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 (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
(.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))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.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 (cos re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.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 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (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 (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #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 (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 (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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
99.7%	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)

regimes9.0ms (0.1%)

Memory

-3.5MiB live, 35.5MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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
98.9%	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)

regimes45.0ms (0.5%)

Memory

-11.6MiB live, 154.8MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

9.0ms	im
8.0ms	(cos.f64 re)
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	re

Results

Accuracy	Segments	Branch
85.1%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
75.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
75.5%	2	`(cos.f64 re)`
75.0%	2	`re`
86.8%	3	`im`
93.0%	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)

regimes41.0ms (0.5%)

Memory

-13.0MiB live, 107.0MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

7.0ms	re
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	im
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
62.2%	2	`re`
70.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.5%	2	`(cos.f64 re)`
62.4%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
64.2%	3	`im`
70.5%	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)

regimes20.0ms (0.2%)

Memory

10.5MiB live, 49.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(cos.f64 re)
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
70.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
70.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.2%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes20.0ms (0.2%)

Memory

7.0MiB live, 46.1MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #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 (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 (cos re) #s(literal 1 binary64)))

Calls

3 calls:

7.0ms	(*.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
70.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
70.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.1%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes19.0ms (0.2%)

Memory

4.2MiB live, 45.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms	(cos.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (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
69.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
69.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.8%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes18.0ms (0.2%)

Memory

-32.0MiB live, 46.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(cos.f64 re)
5.0ms	(*.f64 #s(literal 1/2 binary64) (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
67.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
67.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.9%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes17.0ms (0.2%)

Memory

7.7MiB live, 47.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
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
67.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.9%	2	`(cos.f64 re)`
67.9%	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)

regimes17.0ms (0.2%)

Memory

-5.0MiB live, 35.1MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(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
67.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.8%	2	`(cos.f64 re)`
67.8%	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)

regimes14.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(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
67.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.4%	2	`(cos.f64 re)`
67.4%	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)

regimes13.0ms (0.1%)

Memory

-11.2MiB live, 28.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.5%	2	`(cos.f64 re)`
66.5%	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)

regimes21.0ms (0.2%)

Memory

3.0MiB live, 42.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	re
3.0ms	im
3.0ms	(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
49.0%	1	`re`
51.2%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
53.1%	3	`im`
57.6%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
57.6%	3	`(cos.f64 re)`
55.7%	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)

regimes9.0ms (0.1%)

Memory

-21.7MiB live, 17.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

3 calls:

3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms	(cos.f64 re)
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
51.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
53.4%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
53.4%	3	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

3 calls:

2.0ms	(cos.f64 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
51.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
51.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
51.6%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes13.0ms (0.1%)

Memory

-17.1MiB live, 25.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

6 calls:

4.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
2.0ms	re
2.0ms	im
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
33.4%	1	`re`
35.7%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
35.7%	2	`im`
36.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
36.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
36.3%	2	`(cos.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
31.0%	1	`re`
31.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
31.0%	1	`im`
31.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
31.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
31.0%	1	`(cos.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999832807122817	1.0
0.0ms	-inf	-0.9968829225942084

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999832807122817	1.0
0.0ms	-inf	-0.9968829225942084

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999832807122817	1.0
0.0ms	-inf	-0.9968829225942084

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999832807122817	1.0
0.0ms	-inf	-0.9968829225942084

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999832807122817	1.0
0.0ms	-inf	-0.9968829225942084

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999832807122817	1.0
0.0ms	-inf	-0.9968829225942084

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048829995643218035	0.021311859644111662

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0287802436874038	0.014611977529694495

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0287802436874038	0.014611977529694495

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0287802436874038	0.014611977529694495

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048829995643218035	0.021311859644111662

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048829995643218035	0.021311859644111662

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048829995643218035	0.021311859644111662

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048829995643218035	0.021311859644111662

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048829995643218035	0.021311859644111662

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8544467731521164	0.8658790886566001
0.0ms	-0.0287802436874038	0.014611977529694495

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8544467731521164	0.8658790886566001
0.0ms	-0.0287802436874038	0.014611977529694495

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0287802436874038	0.014611977529694495

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0287802436874038	0.014611977529694495

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify37.0ms (0.4%)

Memory

-13.8MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1323
1	166	1323
2	168	1323
3	169	1323

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1 binary64) (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 -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 2251762165196279/2251799813685248 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 -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 2251762165196279/2251799813685248 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (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 2251762165196279/2251799813685248 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 2251762165196279/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251762165196279/2251799813685248 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251762165196279/2251799813685248 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) #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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (.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))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 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))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #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 (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 (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 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))) #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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) (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 (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (.f64 re re) #s(literal 1 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 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (.f64 re re) #s(literal 1 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 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 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 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
(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 2251762165196279/2251799813685248 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 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (cosh.f64 im)) (if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2251762165196279/2251799813685248 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 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))))
(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 2251762165196279/2251799813685248 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (cosh.f64 im)) (if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2251762165196279/2251799813685248 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))))
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(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (cosh.f64 im)) (if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2251762165196279/2251799813685248 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(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))))
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(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2251762165196279/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))))
(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 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251762165196279/2251799813685248 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2251762165196279/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (.f64 #s(approx (cos re) #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))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (.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))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (.f64 #s(approx (cos re) #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)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 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))) #s(approx (cos re) #s(literal 1 binary64))))
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(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #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 (cos re) #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)))))
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(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) (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 (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos 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 -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (.f64 re re) #s(literal 1 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 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (.f64 re re) #s(literal 1 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 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (.f64 re re) #s(literal 1 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 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 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 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

soundness2.0s (22.2%)

Memory

35.8MiB live, 1 376.3MiB allocated

Rules

25 308×	`lower-fma.f64`
25 308×	`lower-fma.f32`
25 290×	`lower-fma.f64`
25 290×	`lower-fma.f32`
22 332×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	256
0	70	248
1	256	232
2	1699	232
0	8296	232
0	243	2845
1	765	2614
2	2406	2495
3	6160	2455
0	8208	2352
0	10	28
0	17	28
1	47	24
2	285	22
3	2485	22
0	9034	22
0	119	655
1	346	623
2	1071	613
3	3276	596
4	7351	596
5	7956	596
0	8023	556
0	43	229
0	64	219
1	215	209
2	1350	209
0	8222	205
0	153	2888
1	460	2733
2	1274	2699
3	3722	2598
0	8216	2439
0	170	3154
1	517	2999
2	1427	2957
3	4133	2856
0	8396	2688

Stop Event

1×	fuel
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
1×	node limit
1×	iter limit

Compiler

Compiled 2 566 to 1 358 computations (47.1% saved)

preprocess225.0ms (2.5%)

Memory

-21.1MiB live, 208.7MiB allocated

Remove

(abs re)

(abs im)

Compiler

Compiled 1 938 to 288 computations (85.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Iter	Nodes	Cost
0	43	307
0	64	295
1	117	295
2	197	289
3	303	289
4	400	289
5	490	289
6	553	289
7	643	289
8	695	289
9	695	289
10	696	289
11	698	289
12	698	289
0	698	285

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Iter	Nodes	Cost
0	43	307
0	64	295
1	117	295
2	197	289
3	303	289
4	400	289
5	490	289
6	553	289
7	643	289
8	695	289
9	695	289
10	696	289
11	698	289
12	698	289
0	698	285

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (17.7%)

explain181.0ms (2%)

preprocess64.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize66.0ms (0.7%)

series41.0ms (0.5%)

simplify318.0ms (3.5%)

rewrite449.0ms (5%)

eval70.0ms (0.8%)

prune52.0ms (0.6%)

simplify256.0ms (2.8%)

localize204.0ms (2.3%)

series55.0ms (0.6%)

simplify247.0ms (2.8%)

rewrite201.0ms (2.2%)

eval231.0ms (2.6%)

prune45.0ms (0.5%)

simplify37.0ms (0.4%)

localize159.0ms (1.8%)

series36.0ms (0.4%)

simplify271.0ms (3%)

rewrite193.0ms (2.1%)

eval95.0ms (1.1%)

prune25.0ms (0.3%)

simplify31.0ms (0.3%)

localize151.0ms (1.7%)

series89.0ms (1%)

simplify786.0ms (8.7%)

rewrite180.0ms (2%)

eval111.0ms (1.2%)

prune35.0ms (0.4%)

regimes65.0ms (0.7%)

regimes56.0ms (0.6%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes45.0ms (0.5%)

regimes41.0ms (0.5%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes13.0ms (0.1%)

regimes21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify37.0ms (0.4%)

soundness2.0s (22.2%)

preprocess225.0ms (2.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Iter	Nodes	Cost
0	43	307
0	64	295
1	117	295
2	197	289
3	303	289
4	400	289
5	490	289
6	553	289
7	643	289
8	695	289
9	695	289
10	696	289
11	698	289
12	698	289
0	698	285