Metrics for math.cos on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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%)

Memory

-5.2MiB live, 1 230.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 870.0ms

ival-cos: 290.0ms (33.3% of total)

ival-mult: 278.0ms (31.9% of total)

ival-exp: 190.0ms (21.8% of total)

ival-add: 61.0ms (7% of total)

ival-neg: 36.0ms (4.1% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain243.0ms (2.6%)

Memory

-3.8MiB live, 110.6MiB 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

46.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-cos: 11.0ms (36.6% of total)

ival-exp: 7.0ms (23.3% of total)

ival-mult: 6.0ms (19.9% of total)

ival-add: 2.0ms (6.6% of total)

ival-neg: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess77.0ms (0.8%)

Memory

3.6MiB live, 48.4MiB 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 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

Symmetry

(abs im)

(abs re)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 13 to 10 computations (23.1% saved)

simplify10.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.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)

localize45.0ms (0.5%)

Memory

12.2MiB live, 50.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0	(neg.f64 im)
accuracy	0	(exp.f64 (neg.f64 im))
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)

Samples

34.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-cos: 6.0ms (40% of total)

ival-exp: 4.0ms (26.6% of total)

ival-mult: 3.0ms (20% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.4%)

Memory

-20.3MiB live, 17.0MiB allocated

Counts

7 → 96

Calls

Call 1

Inputs
#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 (.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 im) (patch (exp.f64 im) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())
#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())

Outputs
#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) (+ (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) (+ (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 (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 (* 1/2 (* (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 (* 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 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 (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)) (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 (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 (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 (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 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 (+ (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 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 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) (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) (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 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 (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 (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 im) (taylor 0 im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
27.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

simplify559.0ms (6%)

Memory

-18.3MiB live, 386.4MiB 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	679
1	346	647
2	1079	637
3	3299	620
4	7370	620
5	7975	620
0	8043	580

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite350.0ms (3.7%)

Memory

39.0MiB live, 429.3MiB 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	30
0	17	30
1	47	26
2	285	24
3	2485	24
0	9034	24

Stop Event

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

Counts

7 → 312

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))
(cos.f64 re)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 im)
(exp.f64 (neg.f64 im))
(neg.f64 im)

Outputs
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im)) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (cos.f64 re) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (exp.f64 (neg.f64 im)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))
(/.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64)))
(/.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (exp.f64 (neg.f64 im)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))
(/.f64 (neg.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (neg.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))) (neg.f64 (neg.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im))))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
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(*.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 im #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 im #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 6 binary64))) (pow.f64 (expm1.f64 (+.f64 im im)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (+.f64 im im)) (-.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 im #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 4 binary64))) (pow.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))
(.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (.f64 im #s(literal -3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 9 binary64))) (exp.f64 (.f64 im #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 6 binary64))) (expm1.f64 (*.f64 im #s(literal 6 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 6 binary64))) (exp.f64 (.f64 im #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 im #s(literal -3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 6 binary64))) (exp.f64 (.f64 im #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 im #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 4 binary64))) (exp.f64 (.f64 im #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im)))))
(exp.f64 im)
(exp.f64 (*.f64 im #s(literal 1 binary64)))
(exp.f64 (fma.f64 im #s(literal -2 binary64) (*.f64 im #s(literal 3 binary64))))
(exp.f64 (+.f64 (neg.f64 im) (+.f64 im im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 im))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal -1 binary64))
(pow.f64 (exp.f64 im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 im))
(pow.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (.f64 im #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (+.f64 im im)))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (.f64 im #s(literal 3 binary64))))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(exp.f64 (fma.f64 im #s(literal -2 binary64) im))
(exp.f64 (fma.f64 im #s(literal -3 binary64) (+.f64 im im)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 im)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) im)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (.f64 im im))) (exp.f64 (/.f64 (.f64 im (.f64 im im)) (.f64 im im))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 im #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 im #s(literal 2 binary64)) (/.f64 im #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 im #s(literal 2 binary64)))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 im))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 im #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 (.f64 im #s(literal -3/2 binary64))) (exp.f64 im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (*.f64 im im)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 im im))) (/.f64 #s(literal 1 binary64) im))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(.f64 (exp.f64 (.f64 im #s(literal -3 binary64))) (exp.f64 (+.f64 im im)))
(*.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 im))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 im #s(literal -1/2 binary64))) (exp.f64 (*.f64 im #s(literal -1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 im #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log.f64 (exp.f64 (neg.f64 im)))
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 (neg.f64 im)))))
(+.f64 (log.f64 (exp.f64 (.f64 im #s(literal -1/2 binary64)))) (log.f64 (exp.f64 (.f64 im #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 im #s(literal 2 binary64))))) (log.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 im #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) im)
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 (exp.f64 im)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) im))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 (.f64 im (.f64 im im)) (.f64 im im)))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im) #s(literal 0 binary64))
(neg.f64 im)
(neg.f64 (log.f64 (neg.f64 (neg.f64 (exp.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (neg.f64 (.f64 im (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 im im) (neg.f64 (.f64 im (*.f64 im im))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 im (neg.f64 (*.f64 im im)))))
(/.f64 (neg.f64 (.f64 im (.f64 im im))) (*.f64 im im))
(/.f64 (neg.f64 (.f64 im (.f64 im im))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 (neg.f64 (neg.f64 (.f64 im (.f64 im im)))) (neg.f64 (*.f64 im im)))
(/.f64 (neg.f64 (neg.f64 (.f64 im (.f64 im im)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im im)))) (.f64 (.f64 im im) (*.f64 im im)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 im (.f64 im im))))) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 im im)))) im)
(pow.f64 (/.f64 (.f64 im im) (neg.f64 (.f64 im (*.f64 im im)))) #s(literal -1 binary64))
(pow.f64 (/.f64 im (neg.f64 (*.f64 im im))) #s(literal -1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) im)
(.f64 (neg.f64 (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 im im)))
(.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))

eval57.0ms (0.6%)

Memory: -10.8MiB live, 110.2MiB allocated
Compiler: Compiled 8 780 to 1 186 computations (86.5% saved)

prune72.0ms (0.8%)

Memory

9.9MiB live, 135.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	401	7	408
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	402	7	409

Accuracy

100.0%

Counts

409 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
	94.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 (.f64 im im) (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
▶	90.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
▶	78.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	94.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))
▶	90.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Compiler

Compiled 224 to 138 computations (38.4% saved)

simplify371.0ms (4%)

Memory

-1.1MiB live, 314.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) 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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(cos.f64 re)
cost-diff	0	(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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))
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))

Rules

14 020×	`lower-fma.f32`
14 010×	`lower-fma.f64`
2 982×	`lower-*.f32`
2 964×	`lower-*.f64`
1 584×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	225
0	54	221
1	120	217
2	275	205
3	578	205
4	841	205
5	881	205
6	1032	205
7	1339	205
8	1517	205
9	1772	205
10	2101	205
11	2515	205
12	3992	205
13	4973	205
14	5305	205
15	5516	205
16	5896	205
17	6653	205
18	7337	205
19	7640	205
20	7733	205
21	7817	205
22	7847	205
23	7855	205
24	7867	205
25	7871	205
26	7871	205
0	8324	201

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
im
(cos.f64 re)
re
#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)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(cos.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) 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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))
(fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))
im
(fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)
(.f64 (.f64 im im) #s(literal 1/12 binary64))
(*.f64 im im)
#s(literal 1/12 binary64)
#s(literal 2 binary64)

Outputs
(.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
#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 (.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 #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)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (cos.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(cos.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 (.f64 im im) (.f64 im #s(literal 1/12 binary64)) im) #s(literal 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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 (.f64 im im) (.f64 im #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))
(fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))
(fma.f64 im (fma.f64 (.f64 im im) (.f64 im #s(literal 1/12 binary64)) im) #s(literal 2 binary64))
im
(fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)
(fma.f64 (.f64 im im) (.f64 im #s(literal 1/12 binary64)) im)
(.f64 (.f64 im im) #s(literal 1/12 binary64))
(.f64 im (.f64 im #s(literal 1/12 binary64)))
(*.f64 im im)
#s(literal 1/12 binary64)
#s(literal 2 binary64)

localize114.0ms (1.2%)

Memory

-4.4MiB live, 262.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))
accuracy	0.046875	(fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)
accuracy	0.4045732860062107	(.f64 (.f64 im im) #s(literal 1/12 binary64))
accuracy	6.117623798008491	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))
accuracy	0.02734375	(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
accuracy	0.28125	(*.f64 im #s(literal 1/24 binary64))
accuracy	6.123740750109817	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	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))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0	(cos.f64 re)
accuracy	13.759813147005751	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0	(cos.f64 re)
accuracy	29.413080922160145	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
accuracy	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(cosh.f64 im)
accuracy	0	(cos.f64 re)

Samples

71.0ms

256×

valid

Compiler

Compiled 184 to 32 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 17.0ms (35% of total)

ival-add: 8.0ms (16.5% of total)

const: 8.0ms (16.5% of total)

ival-cos: 6.0ms (12.3% of total)

ival-cosh: 5.0ms (10.3% of total)

ival-exp: 3.0ms (6.2% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

4.8MiB live, 49.4MiB allocated

Counts

18 → 288

Calls

Call 1

Inputs
#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 (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())
#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 (.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 #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) 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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 im #s(literal 1/24 binary64)) (patch (.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 im im) #s(literal 1/12 binary64)) (patch (.f64 (.f64 im im) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())
#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 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 (* 1/2 (pow im 2))) (taylor 0 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 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (taylor 0 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 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (taylor 0 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 (+ (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 (+ (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 (cos re) (taylor 0 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 (+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) (taylor 0 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 (+ (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 binary64) (cosh.f64 im)) (cos.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) #<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 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 (* (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 (* (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 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 (* (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 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 (taylor 0 im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow im 2))) (taylor 0 im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (taylor 0 im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (taylor 0 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 (+ (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>) () ())) ())
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#s(alt (* 1/12 (pow im 2)) (taylor -inf im) (#s(alt (.f64 (.f64 im im) #s(literal 1/12 binary64)) (patch (.f64 (.f64 im im) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow im 2)) (taylor -inf im) (#s(alt (.f64 (.f64 im im) #s(literal 1/12 binary64)) (patch (.f64 (.f64 im im) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/12 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/12 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/12 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow im 3)) (taylor inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/12 (/ 1 (pow im 2)))) (taylor inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/12 (/ 1 (pow im 2)))) (taylor inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/12 (/ 1 (pow im 2)))) (taylor inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow im 3)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/12 (/ 1 (pow im 2)))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/12 (/ 1 (pow im 2)))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/12 (/ 1 (pow im 2)))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (patch (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow im 2)) (taylor 0 im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) (taylor 0 im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) (taylor 0 im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow im 4)) (taylor inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/12 (/ 1 (pow im 2)))) (taylor inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/12 (+ (/ 1 (pow im 2)) (/ 2 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/12 (+ (/ 1 (pow im 2)) (/ 2 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/12 (/ 1 (pow im 2)))) (taylor -inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/12 (+ (/ 1 (pow im 2)) (/ 2 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/12 (+ (/ 1 (pow im 2)) (/ 2 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) (patch (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	im	@	-inf	(+ (* im (+ (* im (* (* im im) 1/12)) im)) 2)
2.0ms	im	@	-inf	(* 1 (cosh im))
1.0ms	re	@	inf	(* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1))
1.0ms	re	@	inf	(* (* 1 (cosh im)) (cos re))
1.0ms	im	@	inf	(* 1 (cosh im))

simplify347.0ms (3.7%)

Memory

-41.5MiB live, 420.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 906×	`lower-fma.f64`
11 906×	`lower-fma.f32`
4 178×	`lower-*.f64`
4 178×	`lower-*.f32`
3 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	3259
1	593	2980
2	1793	2921
3	4692	2858
4	6989	2858
5	7905	2858
0	8257	2667

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 287

Calls

Call 1

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

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

rewrite313.0ms (3.3%)

Memory

45.1MiB live, 508.7MiB allocated

Rules

6 068×	`lower-fma.f32`
6 058×	`lower-fma.f64`
4 724×	`lower-*.f32`
4 706×	`lower-*.f64`
3 858×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	54	181
1	194	157
2	1284	157
0	8194	153

Stop Event

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

Counts

18 → 378

Calls

Call 1

Inputs
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(cosh.f64 im)
(cos.f64 re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))
(*.f64 im #s(literal 1/24 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 im im) #s(literal 1/12 binary64))
(fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)
(fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))

Outputs
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(cosh.f64 im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (cosh.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 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))))
(.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))
(.f64 (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))) (/.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))))
(fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 im (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)))) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal -2 binary64))) (/.f64 (.f64 im (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)))) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 im (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)))) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)) #s(literal 4 binary64)) (.f64 (.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im)) #s(literal -2 binary64)))))
(.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 im (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im))) (.f64 (.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im)) #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)) #s(literal 4 binary64)) (.f64 (.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im)) #s(literal -2 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 im) (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 im (.f64 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) (.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im)))))

eval112.0ms (1.2%)

Memory: -4.1MiB live, 240.8MiB allocated
Compiler: Compiled 19 300 to 1 420 computations (92.6% saved)

prune157.0ms (1.7%)

Memory

-14.7MiB live, 263.0MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	726	15	741
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	730	18	748

Accuracy

100.0%

Counts

748 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
✓	78.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	94.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
▶	50.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #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))))
	57.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
	57.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
	49.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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))))
	59.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
	50.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	90.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	58.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	59.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	59.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	37.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	38.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	34.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	31.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

Compiler

Compiled 546 to 314 computations (42.5% saved)

simplify70.0ms (0.7%)

Memory

23.5MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #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) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #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	(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #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	(*.f64 im im)
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))

Rules

2 256×	`lower-fma.f32`
2 236×	`lower-fma.f64`
990×	`lower-*.f32`
978×	`lower-*.f64`
758×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	334
0	71	330
1	166	330
2	423	312
3	844	312
4	1221	312
5	1278	312
6	1444	312
7	1742	312
8	1782	312
9	1845	312
10	1936	312
11	1943	312
12	1950	312
0	1950	312

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize186.0ms (2%)

Memory

-26.0MiB live, 336.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
accuracy	0.12109375	(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy	13.759813147005751	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	30.64996094697407	#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
accuracy	0.05078125	(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
accuracy	0.28125	(*.f64 im #s(literal 1/24 binary64))
accuracy	6.123740750109817	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	27.959262852799494	#s(approx (cos re) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	0.12109375	(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
accuracy	29.413080922160145	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	30.649861283234287	#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	27.959262852799494	#s(approx (cos re) #s(literal 1 binary64))
accuracy	29.413080922160145	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.0234375	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
accuracy	0.47536459366595785	(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy	3.8004318009866824	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

138.0ms

256×

valid

Compiler

Compiled 231 to 45 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 27.0ms (33% of total)

ival-cos: 14.0ms (17.1% of total)

ival-add: 12.0ms (14.7% of total)

ival-exp: 10.0ms (12.2% of total)

const: 9.0ms (11% of total)

ival-cosh: 7.0ms (8.6% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series26.0ms (0.3%)

Memory

23.9MiB live, 64.0MiB allocated

Counts

23 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	(+ (* (* im im) (+ (* (* im im) (+ (* (* im im) 1/720) 1/24)) 1/2)) 1)
0.0ms	re	@	inf	(+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1)
0.0ms	re	@	inf	(+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2)
0.0ms	im	@	inf	(+ (* (* im im) (+ (* (* im im) (+ (* (* im im) 1/720) 1/24)) 1/2)) 1)
0.0ms	im	@	inf	(+ (* (* im im) (+ (* (* im im) 1/720) 1/24)) 1/2)

simplify270.0ms (2.9%)

Memory

15.6MiB live, 474.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 082×	`lower-fma.f64`
13 082×	`lower-fma.f32`
3 774×	`lower-*.f64`
3 774×	`lower-*.f32`
3 302×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	3689
1	668	3444
2	2005	3377
3	5356	3302
4	6499	3286
5	7996	3286
0	8023	3045

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

rewrite588.0ms (6.3%)

Memory

-108.5MiB live, 584.1MiB allocated

Rules

5 880×	`lower-fma.f32`
5 860×	`lower-fma.f64`
4 188×	`lower-*.f32`
4 176×	`lower-*.f64`
3 036×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	297
0	71	293
1	302	271
2	2298	271
0	8281	271

Stop Event

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

Counts

23 → 384

Calls

Call 1

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

Outputs
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
(.f64 (cos.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) im #s(literal 1 binary64))
(fma.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
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(.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/2304 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))

eval119.0ms (1.3%)

Memory: 34.7MiB live, 258.8MiB allocated
Compiler: Compiled 23 483 to 1 592 computations (93.2% saved)

prune207.0ms (2.2%)

Memory

6.9MiB live, 438.8MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	845	10	855
Fresh	3	7	10
Picked	2	3	5
Done	0	3	3
Total	850	23	873

Accuracy

100.0%

Counts

873 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
✓	78.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	94.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
	60.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
▶	49.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #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))))
	57.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
	57.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
	16.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	50.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	59.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
	34.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓	90.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	58.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	59.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
▶	40.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	30.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	59.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	37.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	38.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	34.5%	#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))))
	11.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
✓	31.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

Compiler

Compiled 776 to 413 computations (46.8% saved)

simplify185.0ms (2%)

Memory

4.4MiB live, 161.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #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(approx (+ ( (* re re) 1/48) -1/4) #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(approx (+ ( (* re re) 1/48) -1/4) #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	(*.f64 re re)
cost-diff	0	(fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	#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))))
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))

Rules

4 352×	`lower-fma.f32`
4 334×	`lower-fma.f64`
2 492×	`lower-*.f32`
2 476×	`lower-*.f64`
1 528×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	429
0	80	411
1	172	399
2	363	381
3	723	381
4	1198	381
5	1460	381
6	1927	381
7	3303	381
8	3900	381
9	4384	381
10	4403	381
11	4410	381
12	4410	381
13	4873	381
14	4887	381
15	4887	381
16	5588	381
17	5588	381
18	5588	381
19	5588	381
0	5588	373

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.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))
#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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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))
(*.f64 re re)
re
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #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(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(approx (+ (* (* re re) 1/48) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 re re)
re
(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 im im)
im
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (*.f64 im im))) #s(literal -1/4 binary64))
#s(literal 1/576 binary64)
(.f64 im (.f64 im (*.f64 im im)))
(.f64 im (.f64 im im))
#s(literal -1/4 binary64)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)

Outputs
(.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) #s(literal 1 binary64)))
(*.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))
#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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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))
(*.f64 re re)
re
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #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(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(approx (+ (* (* re re) 1/48) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #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 (.f64 re re) (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 re re) (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 re re)
re
(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 re (*.f64 re #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 im (.f64 im (.f64 im (.f64 im #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (/.f64 (.f64 im (.f64 im #s(approx (cos re) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 im (.f64 im (.f64 im (.f64 im #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (/.f64 (.f64 im (.f64 im #s(approx (cos re) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 im (.f64 im (.f64 im (.f64 im #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (/.f64 (.f64 im im) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 im im)
im
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 im (.f64 im (.f64 im (.f64 im #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (*.f64 im im))) #s(literal -1/4 binary64))
(fma.f64 im (.f64 im (.f64 im (*.f64 im #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))
#s(literal 1/576 binary64)
(.f64 im (.f64 im (*.f64 im im)))
(.f64 im (.f64 im im))
#s(literal -1/4 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))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)

localize162.0ms (1.7%)

Memory

-9.3MiB live, 358.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3163646959554224	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy	6.123740750109817	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
accuracy	19.861428544718855	(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
accuracy	27.959262852799494	#s(approx (cos re) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	0.28504166770484984	(fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
accuracy	29.413080922160145	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	30.69469212984282	#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.05078125	(fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
accuracy	13.759813147005751	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	30.64996094697407	#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
accuracy	31.236708068267948	#s(approx (+ (* (* re re) 1/48) -1/4) #s(literal -1/4 binary64))
accuracy	0.05078125	(fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	29.413080922160145	#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))))
accuracy	30.649861283234287	#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)))
accuracy	31.237111012344943	#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
accuracy	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(cosh.f64 im)
accuracy	27.959262852799494	#s(approx (cos re) #s(literal 1 binary64))

Samples

110.0ms

256×

valid

Compiler

Compiled 296 to 50 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 29.0ms (37.6% of total)

ival-add: 21.0ms (27.3% of total)

const: 12.0ms (15.6% of total)

ival-cos: 6.0ms (7.8% of total)

ival-exp: 3.0ms (3.9% of total)

ival-cosh: 3.0ms (3.9% of total)

ival-div: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series25.0ms (0.3%)

Memory

-19.5MiB live, 58.2MiB allocated

Counts

23 → 348

Calls

Call 1

Inputs
#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 (* (* 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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #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(approx (+ ( (* re re) 1/48) -1/4) #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(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (patch #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #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 #s(approx (+ (* (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) (patch #s(approx (+ (* (* re re) 1/48) -1/4) #s(literal -1/4 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 (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 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>) () ())

Outputs
#s(alt 1 (taylor 0 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 (* 1/2 (pow im 2))) (taylor 0 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 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (taylor 0 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 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (taylor 0 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 (+ (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 (+ (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 (cos re) (taylor 0 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 (+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) (taylor 0 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 (+ (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 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 (+ (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 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 (* (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 (* (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>) () ())) ())
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#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#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>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(* (cos re) (+ (* (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1))
1.0ms	re	@	0	(* (cos re) (+ (* (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1))
1.0ms	im	@	inf	(* (cos re) (+ (* (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1))
1.0ms	re	@	inf	(+ (* (* re re) (+ (* (* re re) (+ (* (* re re) -1/720) 1/24)) -1/2)) 1)
0.0ms	im	@	inf	(/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))

simplify248.0ms (2.6%)

Memory

37.9MiB live, 347.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 804×	`lower-fma.f64`
10 804×	`lower-fma.f32`
4 082×	`lower-*.f64`
4 082×	`lower-*.f32`
3 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	3845
1	653	3627
2	1919	3541
3	4844	3416
4	6957	3398
0	8047	3186

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
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 (+ (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 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(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)))))))
(* 1/2 (* (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)))))
(* 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 (* (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)))))
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 (+ (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 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (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)))
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(* 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) (+ (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)))))
(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)))))))
(* 1/2 (* (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 (* -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
(+ 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)))
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
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)))
(* 1/24 (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 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)))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 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) (+ (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)))))
(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)))))))
(* 1/2 (* (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 (* -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
(+ 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))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
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)))
(* 1/48 (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 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)))))
(* 1/2 (+ (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) (+ (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)))))
(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)))))))
(* 1/2 (* (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 (* -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
(+ 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)))
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
(cos re)
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)))
(* -1/720 (pow re 6))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* -1/720 (pow re 6))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* 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) (+ (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)))))
(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)))))))
(* 1/2 (* (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 (* -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 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (+ (* -1/2 (* (pow re 2) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))) (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(+ 1 (+ (* (pow re 2) (+ (* -1/2 (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2)))) (* 1/24 (* (pow re 2) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))))) (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(+ 1 (+ (* (pow re 2) (+ (* -1/2 (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))) (* 1/24 (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2)))))))) (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(* (cos re) (+ 1 (/ (* (pow im 2) (- (* 1/576 (pow im 4)) 1/4)) (- (* 1/24 (pow im 2)) 1/2))))
(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) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
(* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))
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)))))
(* 1/24 (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 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)))))
-1/2
(- (* 1/24 (pow re 2)) 1/2)
(- (* 1/24 (pow re 2)) 1/2)
(- (* 1/24 (pow re 2)) 1/2)
(* 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)))))
(* 1/24 (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)))))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* 1/48 (pow re 2)) 1/4)
(- (* 1/48 (pow re 2)) 1/4)
(* 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)))))
(* 1/48 (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)))))
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)))))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
1/24
(+ 1/24 (* -1/720 (pow re 2)))
(+ 1/24 (* -1/720 (pow re 2)))
(+ 1/24 (* -1/720 (pow re 2)))
(* -1/720 (pow re 2))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* -1/720 (pow re 2))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(* 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)))))
(* 1/24 (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
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(* 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)))))
(* 1/24 (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)))))

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

rewrite311.0ms (3.3%)

Memory

9.0MiB live, 410.2MiB allocated

Rules

5 488×	`lower-fma.f32`
5 470×	`lower-fma.f64`
4 540×	`lower-*.f32`
4 524×	`lower-*.f64`
3 770×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	358
0	80	346
1	324	292
2	2331	292
0	8412	280

Stop Event

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

Counts

23 → 385

Calls

Call 1

Inputs
(*.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 (* (* 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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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))
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #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(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* re re) 1/48) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))

Outputs
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(cosh.f64 im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (cosh.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 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(/.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 (neg.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(cosh.f64 im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (cosh.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 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
#s(approx (cos re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #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 (.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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 re re) (.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))))) (fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 re re) (.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 re (.f64 re #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 re (.f64 (.f64 re #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #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))
(fma.f64 (.f64 re re) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 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 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 (.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 re #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) re #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 re re) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 re re) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 re re) (.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))))) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 re re) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (.f64 #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/48 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64))) (.f64 (*.f64 im im) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/48 binary64))) (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 im im) #s(literal -1/48 binary64)))))
(.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) #s(literal 1/191102976 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/64 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal -1/2304 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) #s(literal 1/191102976 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal -1/2304 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) #s(literal 1/191102976 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/64 binary64)) (neg.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal -1/2304 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) #s(literal 1/191102976 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal -1/2304 binary64)))) (fma.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) #s(literal 1/191102976 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/64 binary64)) (/.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal -1/2304 binary64)))) (-.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/48 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) #s(literal 1/191102976 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/64 binary64)) (/.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal -1/2304 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) (neg.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 im im) #s(literal -1/48 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))))

eval130.0ms (1.4%)

Memory: -8.2MiB live, 179.1MiB allocated
Compiler: Compiled 21 226 to 1 473 computations (93.1% saved)

prune189.0ms (2%)

Memory

-58.5MiB live, 251.8MiB allocated

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	813	7	820
Fresh	3	9	12
Picked	2	3	5
Done	0	6	6
Total	818	25	843

Accuracy

100.0%

Counts

843 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	66.2%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
✓	94.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
	61.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
	60.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
	57.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
✓	49.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #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))))
	16.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	50.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	34.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓	90.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	58.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	59.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	11.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
	40.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	30.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
	30.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	59.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	37.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	37.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	38.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	34.5%	#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))))
	11.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
✓	31.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

Compiler

Compiled 1 117 to 368 computations (67.1% saved)

regimes86.0ms (0.9%)

Memory

10.2MiB live, 85.7MiB allocated

Counts

40 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 (.f64 im im) (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(.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 binary64) (cosh.f64 im)) (cos.f64 re))

Calls

6 calls:

25.0ms	(cos.f64 re)
16.0ms	im
11.0ms	re
11.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
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
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 37 to 28 computations (24.3% saved)

regimes76.0ms (0.8%)

Memory

-22.1MiB live, 125.3MiB allocated

Counts

38 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 (.f64 im im) (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))

Outputs

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

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

Calls

6 calls:

15.0ms	im
14.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
11.0ms	re
10.0ms	(cos.f64 re)
10.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
97.4%	2	`re`
98.4%	3	`im`
98.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
97.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
97.4%	2	`(cos.f64 re)`
94.1%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes11.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

35 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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
100.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes32.0ms (0.3%)

Memory

-23.0MiB live, 14.0MiB allocated

Counts

33 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #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 re (*.f64 re (fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes10.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

32 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (* 1/2 (cos re)) (fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 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:

8.0ms

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

Results

Accuracy	Segments	Branch
99.6%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes93.0ms (1%)

Memory

3.9MiB live, 91.0MiB allocated

Counts

30 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

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

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))

Calls

6 calls:

49.0ms	(cos.f64 re)
11.0ms	im
9.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (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
84.5%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
86.5%	3	`im`
73.8%	2	`re`
77.1%	4	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
77.1%	4	`(cos.f64 re)`
95.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes56.0ms (0.6%)

Memory

-10.7MiB live, 107.2MiB allocated

Counts

29 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (cos re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

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

Calls

6 calls:

12.0ms	re
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	im
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
61.8%	1	`re`
73.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.3%	2	`(cos.f64 re)`
61.8%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
65.6%	3	`im`
73.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes25.0ms (0.3%)

Memory

13.5MiB live, 50.3MiB allocated

Counts

26 → 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 re re) (.f64 re re)) (fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) #s(approx (+ ( (* im im) 1/24) -1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

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

Calls

3 calls:

9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(cos.f64 re)
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
73.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
73.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.1%	2	`(cos.f64 re)`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes22.0ms (0.2%)

Memory

7.3MiB live, 42.5MiB 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (*.f64 (*.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))

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

Calls

3 calls:

9.0ms	(*.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
70.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
70.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.5%	2	`(cos.f64 re)`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes21.0ms (0.2%)

Memory

5.1MiB live, 40.3MiB 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 re (*.f64 re #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 (.f64 re re) #s(approx (+ ( 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #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 (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 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) #s(approx (+ (* (* re re) (+ (* 1/24 (* re re)) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 re re) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (*.f64 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 ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(approx (+ ( (* re re) 1/48) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (+ (* im (* im 1/24)) 1/2)) 1) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ ( (* im im) (/ (+ (* 1/576 (* im (* im (* im im)))) -1/4) (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) (+ (* (* re re) 1/48) -1/4)) 1/2) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) (.f64 re re))))) #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 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/24 binary64) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))

Outputs

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

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

Calls

3 calls:

9.0ms	(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
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 23 to 18 computations (21.7% saved)

regimes21.0ms (0.2%)

Memory

-28.7MiB live, 20.1MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

14.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
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
65.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
65.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
65.0%	2	`(cos.f64 re)`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes17.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

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

Outputs

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

3.0ms	re
3.0ms	im
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
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
50.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
50.0%	1	`re`
50.0%	1	`im`
55.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
55.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
55.8%	2	`(cos.f64 re)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes13.0ms (0.1%)

Memory

-13.2MiB live, 23.8MiB 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 re (*.f64 re #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 (*.f64 re re) #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Outputs

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

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

Results

Accuracy	Segments	Branch
36.7%	2	`im`
34.5%	1	`re`
36.7%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
37.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
37.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
37.4%	2	`(cos.f64 re)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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	im
1.0ms	(cos.f64 re)
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	re
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
31.7%	1	`re`
31.7%	1	`im`
31.7%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
31.7%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
31.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
31.7%	1	`(cos.f64 re)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999964	1.0

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999964	1.0
0.0ms	-inf	-0.998987439995677

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999964	1.0
0.0ms	-inf	-0.998987439995677

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999964	1.0
0.0ms	-inf	-0.998987439995677

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9989681283228672	0.9999999997679094
0.0ms	-inf	-0.998987439995677

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03999435383166267	0.09458108210920829

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.015095116459743886	0.042623124247147655

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.015095116459743886	0.042623124247147655

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.015095116459743886	0.042623124247147655

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.015095116459743886	0.042623124247147655

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.015095116459743886	0.042623124247147655

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.015095116459743886	0.042623124247147655

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify16.0ms (0.2%)

Memory

-6.4MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`*-lft-identity_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	905
1	154	905
2	156	905
3	157	905

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 281474976710655/281474976710656 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #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 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 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 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 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 ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (.f64 re #s(literal -1/2 binary64)) #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 -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (.f64 re #s(literal -1/2 binary64)) #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 (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 281474976710655/281474976710656 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re)) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 binary64)) (.f64 (cos.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 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 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 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 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 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 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 281474976710655/281474976710656 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 ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 (.f64 im im) #s(literal 1/12 binary64)) im) #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 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 re (.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx ( (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (cos re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (.f64 re #s(literal -1/2 binary64)) #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 -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 re (.f64 re #s(literal -1/2 binary64)) #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)))

soundness1.6s (16.6%)

Memory

13.9MiB live, 1 253.9MiB allocated

Rules

25 308×	`lower-fma.f64`
25 308×	`lower-fma.f32`
13 082×	`lower-fma.f64`
13 082×	`lower-fma.f32`
11 906×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	3845
1	653	3627
2	1919	3541
3	4844	3416
4	6957	3398
0	8047	3186
0	119	679
1	346	647
2	1079	637
3	3299	620
4	7370	620
5	7975	620
0	8043	580
0	209	3689
1	668	3444
2	2005	3377
3	5356	3302
4	6499	3286
5	7996	3286
0	8023	3045
0	52	358
0	80	346
1	324	292
2	2331	292
0	8412	280
0	182	3259
1	593	2980
2	1793	2921
3	4692	2858
4	6989	2858
5	7905	2858
0	8257	2667
0	10	30
0	17	30
1	47	26
2	285	24
3	2485	24
0	9034	24

Stop Event

1×	fuel
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
1×	node limit

Compiler

Compiled 1 276 to 544 computations (57.4% saved)

preprocess120.0ms (1.3%)

Memory

-10.8MiB live, 181.2MiB allocated

Remove

(abs re)

(abs im)

Compiler

Compiled 1 278 to 240 computations (81.2% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (17%)

explain243.0ms (2.6%)

preprocess77.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize45.0ms (0.5%)

series35.0ms (0.4%)

simplify559.0ms (6%)

rewrite350.0ms (3.7%)

eval57.0ms (0.6%)

prune72.0ms (0.8%)

simplify371.0ms (4%)

localize114.0ms (1.2%)

series26.0ms (0.3%)

simplify347.0ms (3.7%)

rewrite313.0ms (3.3%)

eval112.0ms (1.2%)

prune157.0ms (1.7%)

simplify70.0ms (0.7%)

localize186.0ms (2%)

series26.0ms (0.3%)

simplify270.0ms (2.9%)

rewrite588.0ms (6.3%)

eval119.0ms (1.3%)

prune207.0ms (2.2%)

simplify185.0ms (2%)

localize162.0ms (1.7%)

series25.0ms (0.3%)

simplify248.0ms (2.6%)

rewrite311.0ms (3.3%)

eval130.0ms (1.4%)

prune189.0ms (2%)

regimes86.0ms (0.9%)

regimes76.0ms (0.8%)

regimes11.0ms (0.1%)

regimes32.0ms (0.3%)

regimes10.0ms (0.1%)

regimes93.0ms (1%)

regimes56.0ms (0.6%)

regimes25.0ms (0.3%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

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%)

simplify16.0ms (0.2%)

soundness1.6s (16.6%)

preprocess120.0ms (1.3%)

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