Metrics for math.cos on complex, real part

analyze0.0ms (0%)

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 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample1.5s (12.8%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-cos: 510.0ms (50.7% of total)

ival-mult: 229.0ms (22.7% of total)

ival-exp: 168.0ms (16.7% of total)

ival-add: 45.0ms (4.5% of total)

ival-neg: 41.0ms (4.1% of total)

const: 11.0ms (1.1% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess113.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1660×	`fma-define`
1360×	`fnmadd-define`
1328×	`sum5-define`
1232×	`sum4-define`
1108×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	94	66
2	273	66
3	678	66
4	1245	66
5	2163	66
6	2977	66
7	5693	66
8	6348	66
9	6412	66
10	6412	66
11	6412	66
0	10	11
1	27	11
2	72	11
3	124	11
4	159	11
5	193	11
6	226	11
7	240	11
8	242	11
9	247	11
10	247	11
0	247	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
(* (cos re) (fnmsub (exp im) -1/2 (/ -1/2 (exp im))))
(* (* 1/2 (cos (neg re))) (+ (exp (neg im)) (exp im)))
(* (cos re) (fnmsub (exp im) -1/2 (/ -1/2 (exp im))))
(* (* 1/2 (cos re)) (+ (exp (neg (neg im))) (exp (neg im))))
(* (cos re) (fnmsub (exp im) -1/2 (/ -1/2 (exp im))))
(neg (* (* 1/2 (cos (neg re))) (+ (exp (neg im)) (exp im))))
(* (cos re) (fnmsub 1/2 (exp im) (/ 1/2 (exp im))))
(neg (* (* 1/2 (cos re)) (+ (exp (neg (neg im))) (exp (neg im)))))
(* (cos re) (fnmsub 1/2 (exp im) (/ 1/2 (exp im))))
(* (* 1/2 (cos im)) (+ (exp (neg re)) (exp re)))
(* (cos im) (fma 1/2 (exp re) (/ 1/2 (exp re))))

Symmetry

(abs re)

(abs im)

explain136.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

70.0ms

512×

valid

Compiler

Compiled 85 to 32 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-exp: 15.0ms (37.4% of total)

ival-cos: 11.0ms (27.4% of total)

ival-mult: 8.0ms (20% of total)

ival-add: 3.0ms (7.5% of total)

ival-neg: 2.0ms (5% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune8.0ms (0.1%)

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)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Rules

124×	`-lowering-.f32`
124×	`-lowering-.f64`
100×	`fma-define`
76×	`fma-lowering-fma.f32`
76×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	27	33
2	72	33
3	124	33
4	159	33
5	193	33
6	226	33
7	240	33
8	242	33
9	247	33
10	247	33
0	247	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1/2
#s(literal 1/2 binary64)
(cos re)
(cos.f64 re)
re
(+ (exp (neg im)) (exp im))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp (neg im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(neg im)
(-.f64 #s(literal 0 binary64) im)
im
(exp im)
(exp.f64 im)

localize43.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

31.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (36.7% of total)

ival-exp: 4.0ms (24.5% of total)

ival-mult: 4.0ms (24.5% of total)

ival-add: 1.0ms (6.1% of total)

ival-neg: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (* 1/2 (cos re))>
#<alt (cos re)>
#<alt (exp im)>
#<alt (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))>
#<alt (+ (exp (neg im)) (exp im))>

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

Calls

18 calls:

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

rewrite156.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`-lowering-.f32`
1488×	`-lowering-.f64`
1028×	`/-lowering-/.f32`
1028×	`/-lowering-/.f64`
580×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	40	21
2	304	19
0	2863	19

Stop Event

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

Counts

5 → 127

Calls

Call 1

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

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

simplify286.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4854×	`+-lowering-+.f64`
4854×	`+-lowering-+.f32`
3772×	`-lowering-.f32`
3772×	`-lowering-.f64`
2000×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	591
1	336	512
2	1275	506
3	4508	489
0	8788	489

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/2 (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)
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)
(* 1/2 (+ (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)))

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

eval22.0ms (0.2%)

Compiler: Compiled 4267 to 501 computations (88.3% saved)

prune25.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	191	8	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	192	8	200

Accuracy

100.0%

Counts

200 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64)) (.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 im))))) (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64)))))
▶	100.0%	(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
	93.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))))))
	79.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
▶	93.6%	(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
▶	90.6%	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
▶	57.5%	(cos.f64 re)

Compiler

Compiled 342 to 194 computations (43.3% saved)

simplify356.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12736	(+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64)))
✓	cost-diff	12864	(+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64)) (.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 im)))))
✓	cost-diff	25600	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64)) (.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 im))))) (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64))))
✓	cost-diff	25856	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64)) (.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 im))))) (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im))))
✓	cost-diff	0	(cos.f64 re)
✓	cost-diff	256	(+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))
✓	cost-diff	256	(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
✓	cost-diff	0	(.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))) #s(literal 1 binary64))
✓	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
✓	cost-diff	0	(cos.f64 re)
✓	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)) (exp.f64 im))
✓	cost-diff	6528	(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))

Rules

4968×	`-lowering-.f32`
4968×	`-lowering-.f64`
2822×	`/-lowering-/.f32`
2822×	`/-lowering-/.f64`
2418×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	438
1	121	411
2	422	395
3	1913	386
4	4170	378
0	8576	378

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ (/ (* 1/2 (cos re)) (exp im)) (* (cos re) (* 1/2 (exp im))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(/ (* 1/2 (cos re)) (exp im))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1/2
#s(literal 1/2 binary64)
(cos re)
(cos.f64 re)
re
(exp im)
(exp.f64 im)
im
(* (cos re) (* 1/2 (exp im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (exp im))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(cos re)
(cos.f64 re)
re
(* (cos re) (+ (* (* im im) (+ 1/2 (* 1/24 (* im im)))) 1))
(.f64 (cos.f64 re) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(cos re)
(cos.f64 re)
re
(+ (* (* im im) (+ 1/2 (* 1/24 (* im im)))) 1)
(+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(* (* im im) (+ 1/2 (* 1/24 (* im im))))
(.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(* im im)
(*.f64 im im)
im
(+ 1/2 (* 1/24 (* im im)))
(+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))
1/2
#s(literal 1/2 binary64)
(* 1/24 (* im im))
(.f64 im (.f64 im #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
1
#s(literal 1 binary64)
(* (cos re) (+ (* (+ 1/24 (* (* im im) 1/720)) (* im (* im (* im im)))) (+ 1 (* 1/2 (* im im)))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))))))
(cos re)
(cos.f64 re)
re
(+ (* (+ 1/24 (* (* im im) 1/720)) (* im (* im (* im im)))) (+ 1 (* 1/2 (* im im))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))))))
(* (+ 1/24 (* (* im im) 1/720)) (* im (* im (* im im))))
(.f64 (.f64 im im) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))))
(+ 1/24 (* (* im im) 1/720))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* im im) 1/720)
(.f64 (.f64 im im) #s(literal 1/720 binary64))
(* im im)
(*.f64 im im)
im
1/720
#s(literal 1/720 binary64)
(* im (* im (* im im)))
(.f64 im (.f64 im (*.f64 im im)))
(* im (* im im))
(.f64 im (.f64 im im))
(+ 1 (* 1/2 (* im im)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
1
#s(literal 1 binary64)
(* 1/2 (* im im))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (.f64 im #s(literal 2 binary64)))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal -1/2 binary64) (exp.f64 im)))))))) (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 im #s(literal 3 binary64)))))))
1
#s(literal 1 binary64)
(/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3)))
(/.f64 (.f64 (cos.f64 re) (+.f64 (.f64 (cos.f64 re) (.f64 (exp.f64 (.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (+.f64 (.f64 (exp.f64 im) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))) (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (+.f64 (.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 im #s(literal 3 binary64)))))))
(+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (cos.f64 re) (.f64 (exp.f64 (.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (+.f64 (*.f64 (exp.f64 im) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))))
(pow (/ (* 1/2 (cos re)) (exp im)) 2)
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64))
(/ (* 1/2 (cos re)) (exp im))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1/2
#s(literal 1/2 binary64)
(cos re)
(cos.f64 re)
re
(exp im)
(exp.f64 im)
im
2
#s(literal 2 binary64)
(* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))
(.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(* (cos re) (* 1/2 (exp im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (exp im))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im)))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3))
(.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (+.f64 (.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 im #s(literal 3 binary64))))))
(pow (* (cos re) (* 1/2 (exp im))) 3)
(pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (/ (* 1/2 (cos re)) (exp im)) 3)
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64))

localize396.0ms (3.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64))
✓	accuracy	99.7%	(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64))
✓	accuracy	99.7%	(pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
✓	accuracy	48.4%	(-.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 im)))
✓	accuracy	99.9%	(.f64 im (.f64 im (*.f64 im im)))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im))))
✓	accuracy	99.9%	(.f64 im (.f64 im im))
✓	accuracy	99.8%	(.f64 (.f64 im im) #s(literal 1/720 binary64))
✓	accuracy	100.0%	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im))))
✓	accuracy	99.9%	(.f64 #s(literal 1/24 binary64) (.f64 im im))
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
✓	accuracy	100.0%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))

Results

134.0ms	83×	1	valid
103.0ms	56×	2	valid
68.0ms	109×	0	unsamplable
5.0ms	8×	0	valid

Compiler

Compiled 480 to 40 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 65.0ms (31.5% of total)

ival-pow: 43.0ms (20.8% of total)

...c/correct-round.rkt:119:19: 28.0ms (13.6% of total)

ival-add: 18.0ms (8.7% of total)

backward-pass: 17.0ms (8.2% of total)

ival-cos: 15.0ms (7.3% of total)

ival-div: 9.0ms (4.4% of total)

ival-exp: 7.0ms (3.4% of total)

ival-sub: 3.0ms (1.5% of total)

const: 1.0ms (0.5% of total)

series170.0ms (1.4%)

Counts

23 → 432

Calls

Call 1

Inputs
#<alt (+ (/ (* 1/2 (cos re)) (exp im)) (* (cos re) (* 1/2 (exp im))))>
#<alt (/ (* 1/2 (cos re)) (exp im))>
#<alt (* 1/2 (cos re))>
#<alt (cos re)>
#<alt (* (cos re) (+ (* (* im im) (+ 1/2 (* 1/24 (* im im)))) 1))>
#<alt (+ (* (* im im) (+ 1/2 (* 1/24 (* im im)))) 1)>
#<alt (* (* im im) (+ 1/2 (* 1/24 (* im im))))>
#<alt (* (cos re) (+ (* (+ 1/24 (* (* im im) 1/720)) (* im (* im (* im im)))) (+ 1 (* 1/2 (* im im)))))>
#<alt (+ (* (+ 1/24 (* (* im im) 1/720)) (* im (* im (* im im)))) (+ 1 (* 1/2 (* im im))))>
#<alt (* (+ 1/24 (* (* im im) 1/720)) (* im (* im (* im im))))>
#<alt (/ 1 (/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3))))>
#<alt (/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3)))>
#<alt (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im)))))>
#<alt (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3))>
#<alt (* (cos re) (* 1/2 (exp im)))>
#<alt (* 1/24 (* im im))>
#<alt (* (* im im) 1/720)>
#<alt (* im (* im im))>
#<alt (* im (* im (* im im)))>
#<alt (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im)))>
#<alt (pow (* (cos re) (* 1/2 (exp im))) 3)>
#<alt (pow (/ (* 1/2 (cos re)) (exp im)) 3)>
#<alt (pow (/ (* 1/2 (cos re)) (exp im)) 2)>

Outputs
#<alt (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im))))>
#<alt (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))>
#<alt (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))>
#<alt (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* -1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (cos re)>
#<alt (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))>
#<alt (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* 1/4 (cos re))))))))>
#<alt (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* 1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* 1/12 (cos re)))))))))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))>
#<alt (/ 1/2 (exp im))>
#<alt (+ (* -1/4 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))>
#<alt (+ (* (pow re 2) (- (* 1/48 (/ (pow re 2) (exp im))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/1440 (/ (pow re 2) (exp im))) (* 1/48 (/ 1 (exp im))))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (cos re))>
#<alt (+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))>
#<alt (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* -1/2 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))))))>
#<alt (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))))))))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt (* 1/2 (/ (cos re) (exp im)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow re 2)))>
#<alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))>
#<alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))>
#<alt (* 1/2 (cos re))>
#<alt (* 1/2 (cos re))>
#<alt (* 1/2 (cos re))>
#<alt (* 1/2 (cos re))>
#<alt (* 1/2 (cos re))>
#<alt (* 1/2 (cos re))>
#<alt (* 1/2 (cos re))>
#<alt (* 1/2 (cos re))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))>
#<alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 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))))))>
#<alt (+ 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)))))))))))>
#<alt (+ 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))))))))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (cos re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (cos re)>
#<alt (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))>
#<alt (* 1/24 (* (pow im 4) (cos re)))>
#<alt (* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))>
#<alt (* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))>
#<alt (* 1/24 (* (pow im 4) (cos re)))>
#<alt (* (pow im 4) (+ (* 1/24 (cos re)) (* 1/2 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))>
#<alt (* (pow im 4) (+ (* 1/24 (cos re)) (+ (* 1/2 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* 1/2 (pow im 2))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow re 2) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))) (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (+ 1 (+ (* 1/2 (pow im 2)) (+ (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))))) (* 1/24 (* (pow re 2) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))))))))>
#<alt (+ 1 (+ (* 1/2 (pow im 2)) (+ (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/2 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))) (* 1/24 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))))))))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* (cos re) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (cos re)>
#<alt (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))>
#<alt (* 1/720 (* (pow im 6) (cos re)))>
#<alt (* (pow im 6) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4))))))>
#<alt (* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (+ (* 1/2 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 6))))))>
#<alt (* 1/720 (* (pow im 6) (cos re)))>
#<alt (* (pow im 6) (+ (* 1/720 (cos re)) (* 1/24 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 4))))))>
#<alt (* (pow im 6) (+ (* 1/720 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (+ (* 1/2 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (/ (+ (* 1/8 (pow (exp im) 3)) (* 1/8 (/ 1 (pow (exp im) 3)))) (+ (* 1/2 (* (exp im) (- (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))) (* 1/4 (/ 1 (pow (exp im) 2)))))>
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Calls

108 calls:

Time	Variable		Point	Expression
80.0ms	im	@	0	(/ 1 (/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3))))
13.0ms	im	@	0	(/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3)))
9.0ms	re	@	0	(/ 1 (/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3))))
7.0ms	im	@	0	(+ (/ (* 1/2 (cos re)) (exp im)) (* (cos re) (* 1/2 (exp im))))
5.0ms	re	@	inf	(/ 1 (/ (+ (pow (/ (* 1/2 (cos re)) (exp im)) 2) (* (* (cos re) (* 1/2 (exp im))) (- (* (cos re) (* 1/2 (exp im))) (/ (* 1/2 (cos re)) (exp im))))) (+ (pow (* (cos re) (* 1/2 (exp im))) 3) (pow (/ (* 1/2 (cos re)) (exp im)) 3))))

rewrite449.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4956×	`-lowering-.f32`
4956×	`-lowering-.f64`
2044×	`pow-lowering-pow.f64`
2044×	`pow-lowering-pow.f32`
2028×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	293
1	264	220
2	2637	210
0	9205	210

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 794

Calls

Call 1

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

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

simplify386.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

7186×	`+-lowering-+.f64`
7186×	`+-lowering-+.f32`
4690×	`-lowering-.f32`
4690×	`-lowering-.f64`
1286×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	809	12322
1	2949	11176
0	8823	11176

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* -1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(cos re)
(+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* 1/4 (cos re))))))))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* 1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* 1/12 (cos re)))))))))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(/ 1/2 (exp im))
(+ (* -1/4 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))
(+ (* (pow re 2) (- (* 1/48 (/ (pow re 2) (exp im))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/1440 (/ (pow re 2) (exp im))) (* 1/48 (/ 1 (exp im))))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (cos re))
(+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* -1/2 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))))))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))))))))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
(* 1/2 (/ (cos re) (exp im)))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/2 (cos re))
(* 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)
(+ 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 (pow im 2))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (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)))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (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)))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))))
(+ 1 (+ (* -1/2 (* (pow re 2) (+ 1 (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))) (+ (* 1/2 (pow im 2)) (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2)))))))
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(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(- (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(* 1/8 (pow (exp im) 3))
(+ (* -3/16 (* (pow re 2) (pow (exp im) 3))) (* 1/8 (pow (exp im) 3)))
(+ (* 1/8 (pow (exp im) 3)) (* (pow re 2) (+ (* -3/16 (pow (exp im) 3)) (* 7/64 (* (pow re 2) (pow (exp im) 3))))))
(+ (* 1/8 (pow (exp im) 3)) (* (pow re 2) (+ (* -3/16 (pow (exp im) 3)) (* (pow re 2) (+ (* -61/1920 (* (pow re 2) (pow (exp im) 3))) (* 7/64 (pow (exp im) 3)))))))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (pow (cos re) 3))
(+ (* 1/8 (pow (cos re) 3)) (* 3/8 (* im (pow (cos re) 3))))
(+ (* 1/8 (pow (cos re) 3)) (* im (+ (* 3/8 (pow (cos re) 3)) (* 9/16 (* im (pow (cos re) 3))))))
(+ (* 1/8 (pow (cos re) 3)) (* im (+ (* 3/8 (pow (cos re) 3)) (* im (+ (* 9/16 (* im (pow (cos re) 3))) (* 9/16 (pow (cos re) 3)))))))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (* (pow (cos re) 3) (pow (exp im) 3)))
(/ 1/8 (pow (exp im) 3))
(+ (* -3/16 (/ (pow re 2) (pow (exp im) 3))) (* 1/8 (/ 1 (pow (exp im) 3))))
(+ (* (pow re 2) (- (* 7/64 (/ (pow re 2) (pow (exp im) 3))) (* 3/16 (/ 1 (pow (exp im) 3))))) (* 1/8 (/ 1 (pow (exp im) 3))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -61/1920 (/ (pow re 2) (pow (exp im) 3))) (* 7/64 (/ 1 (pow (exp im) 3))))) (* 3/16 (/ 1 (pow (exp im) 3))))) (* 1/8 (/ 1 (pow (exp im) 3))))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (pow (cos re) 3))
(+ (* -3/8 (* im (pow (cos re) 3))) (* 1/8 (pow (cos re) 3)))
(+ (* 1/8 (pow (cos re) 3)) (* im (+ (* -3/8 (pow (cos re) 3)) (* -1/8 (* im (+ (* -9 (pow (cos re) 3)) (* 9/2 (pow (cos re) 3))))))))
(+ (* 1/8 (pow (cos re) 3)) (* im (+ (* -3/8 (pow (cos re) 3)) (* im (+ (* -1/8 (* im (+ (* -27/2 (pow (cos re) 3)) (+ (* -3 (+ (* -9 (pow (cos re) 3)) (* 9/2 (pow (cos re) 3)))) (* 9/2 (pow (cos re) 3)))))) (* -1/8 (+ (* -9 (pow (cos re) 3)) (* 9/2 (pow (cos re) 3)))))))))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(* 1/8 (/ (pow (cos re) 3) (pow (exp im) 3)))
(/ 1/4 (pow (exp im) 2))
(+ (* -1/4 (/ (pow re 2) (pow (exp im) 2))) (* 1/4 (/ 1 (pow (exp im) 2))))
(+ (* (pow re 2) (- (* 1/12 (/ (pow re 2) (pow (exp im) 2))) (* 1/4 (/ 1 (pow (exp im) 2))))) (* 1/4 (/ 1 (pow (exp im) 2))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/90 (/ (pow re 2) (pow (exp im) 2))) (* 1/12 (/ 1 (pow (exp im) 2))))) (* 1/4 (/ 1 (pow (exp im) 2))))) (* 1/4 (/ 1 (pow (exp im) 2))))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (pow (cos re) 2))
(+ (* -1/2 (* im (pow (cos re) 2))) (* 1/4 (pow (cos re) 2)))
(+ (* 1/4 (pow (cos re) 2)) (* im (+ (* -1/2 (pow (cos re) 2)) (* -1/4 (* im (+ (* -4 (pow (cos re) 2)) (* 2 (pow (cos re) 2))))))))
(+ (* 1/4 (pow (cos re) 2)) (* im (+ (* -1/2 (pow (cos re) 2)) (* im (+ (* -1/4 (* im (+ (* -4 (pow (cos re) 2)) (+ (* -2 (+ (* -4 (pow (cos re) 2)) (* 2 (pow (cos re) 2)))) (* 4/3 (pow (cos re) 2)))))) (* -1/4 (+ (* -4 (pow (cos re) 2)) (* 2 (pow (cos re) 2)))))))))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))

Outputs
(+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 re re) (+.f64 (.f64 (exp.f64 im) #s(literal -1/4 binary64)) (/.f64 #s(literal -1/4 binary64) (exp.f64 im))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 re re) (+.f64 (.f64 (exp.f64 im) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 re re) (+.f64 (*.f64 (exp.f64 im) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/48 binary64) (exp.f64 im)))) (/.f64 #s(literal -1/4 binary64) (exp.f64 im))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* -1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 re re) (+.f64 (.f64 (exp.f64 im) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/48 binary64) (exp.f64 im)) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 (exp.f64 im) #s(literal -1/1440 binary64)) (/.f64 #s(literal -1/1440 binary64) (exp.f64 im)))) (.f64 (exp.f64 im) #s(literal 1/48 binary64))))) (/.f64 #s(literal -1/4 binary64) (exp.f64 im)))))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(cos re)
(cos.f64 re)
(+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))
(+.f64 (cos.f64 re) (*.f64 im #s(literal 0 binary64)))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* 1/4 (cos re))))))))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))) #s(literal 0 binary64))))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* 1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* 1/12 (cos re)))))))))))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (cos.f64 re) #s(literal 1/6 binary64)) #s(literal 0 binary64))) (*.f64 (cos.f64 re) #s(literal 1/12 binary64))))))) #s(literal 0 binary64))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(/ 1/2 (exp im))
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
(+ (* -1/4 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (exp.f64 im)))
(+ (* (pow re 2) (- (* 1/48 (/ (pow re 2) (exp im))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) (exp.f64 im)) (/.f64 #s(literal -1/4 binary64) (exp.f64 im)))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/1440 (/ (pow re 2) (exp im))) (* 1/48 (/ 1 (exp im))))) (* 1/4 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/48 binary64) (exp.f64 im)) (/.f64 (.f64 (.f64 re re) #s(literal -1/1440 binary64)) (exp.f64 im)))) (/.f64 #s(literal -1/4 binary64) (exp.f64 im)))))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))
(.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) im)))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* -1/2 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 im (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 im (+.f64 (.f64 (cos.f64 re) #s(literal 1/6 binary64)) #s(literal 0 binary64))) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))))))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
(* 1/2 (/ (cos re) (exp im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 re re) #s(literal -1/1440 binary64)))) #s(literal -1/4 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)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+ 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))))))
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(.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) im)))
(+ (* 1/4 (pow (cos re) 2)) (* im (+ (* -1/2 (pow (cos re) 2)) (* -1/4 (* im (+ (* -4 (pow (cos re) 2)) (* 2 (pow (cos re) 2))))))))
(+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 im (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(+ (* 1/4 (pow (cos re) 2)) (* im (+ (* -1/2 (pow (cos re) 2)) (* im (+ (* -1/4 (* im (+ (* -4 (pow (cos re) 2)) (+ (* -2 (+ (* -4 (pow (cos re) 2)) (* 2 (pow (cos re) 2)))) (* 4/3 (pow (cos re) 2)))))) (* -1/4 (+ (* -4 (pow (cos re) 2)) (* 2 (pow (cos re) 2)))))))))
(+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 im (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 im (+.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 4/3 binary64))))) (*.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64))))))))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))
(* 1/4 (/ (pow (cos re) 2) (pow (exp im) 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))

eval248.0ms (2.1%)

Compiler: Compiled 103770 to 5210 computations (95% saved)

prune201.0ms (1.7%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1685	21	1706
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	1690	24	1714

Accuracy

100.0%

Counts

1714 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 re) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))))
▶	61.8%	(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
▶	62.8%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
	41.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
	40.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
	37.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
	60.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
	60.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
▶	58.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	79.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
	61.3%	(.f64 (cos.f64 re) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
	62.6%	(.f64 (cos.f64 re) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
	74.0%	(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
	62.2%	(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) (-.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
	93.6%	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im im)) im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
	93.6%	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
✓	90.6%	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	93.6%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
	62.8%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
✓	57.5%	(cos.f64 re)
▶	35.2%	#s(literal 1 binary64)

Compiler

Compiled 1290 to 683 computations (47.1% saved)

simplify197.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64))
✓	cost-diff	128	(.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re))
✓	cost-diff	1664	(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
✓	cost-diff	6080	(pow.f64 im #s(literal 4 binary64))
✓	cost-diff	6080	(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))
✓	cost-diff	6336	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
✓	cost-diff	6336	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
✓	cost-diff	0	(*.f64 re re)
✓	cost-diff	0	(.f64 (.f64 re re) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
✓	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(*.f64 (exp.f64 im) (cos.f64 re))
✓	cost-diff	0	(+.f64 (*.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))
✓	cost-diff	6400	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))

Rules

3462×	`-lowering-.f32`
3462×	`-lowering-.f64`
2988×	`+-lowering-+.f64`
2988×	`+-lowering-+.f32`
1218×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	304
1	141	274
2	477	272
3	1823	272
4	5869	260
5	6274	260
6	7184	260
0	8094	260

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize205.0ms (1.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 im (.f64 im (*.f64 im im)))
✓	accuracy	99.9%	(.f64 im (.f64 im im))
✓	accuracy	99.7%	(.f64 (.f64 im im) #s(literal 1/24 binary64))
✓	accuracy	67.7%	(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))
✓	accuracy	99.9%	(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 im im) #s(literal 1/720 binary64))
✓	accuracy	100.0%	(*.f64 re re)
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	99.9%	(.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im))))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 im im))
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(+.f64 (*.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))
✓	accuracy	100.0%	(/.f64 (cos.f64 re) (exp.f64 im))
✓	accuracy	100.0%	(*.f64 (exp.f64 im) (cos.f64 re))

Results

134.0ms

256×

valid

Compiler

Compiled 402 to 44 computations (89.1% saved)

Precisions

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

ival-mult: 35.0ms (42.7% of total)

ival-add: 18.0ms (22% of total)

...c/correct-round.rkt:119:19: 8.0ms (9.8% of total)

ival-div: 6.0ms (7.3% of total)

ival-cos: 6.0ms (7.3% of total)

ival-pow: 5.0ms (6.1% of total)

ival-exp: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series25.0ms (0.2%)

Counts

26 → 396

Calls

Call 1

Inputs
#<alt (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))>
#<alt (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))>
#<alt (* (exp im) (cos re))>
#<alt (exp im)>
#<alt (* (+ 1 (* (* re re) -1/2)) (+ (* (* im im) (+ 1/2 (* 1/24 (* im im)))) 1))>
#<alt (+ 1 (* (* re re) -1/2))>
#<alt (* (* re re) -1/2)>
#<alt (* re re)>
#<alt (+ 1 (+ (* 1/2 (* im im)) (* (pow im 4) (+ 1/24 (* (* im im) 1/720)))))>
#<alt (+ (* 1/2 (* im im)) (* (pow im 4) (+ 1/24 (* (* im im) 1/720))))>
#<alt (* (pow im 4) (+ 1/24 (* (* im im) 1/720)))>
#<alt (pow im 4)>
#<alt (/ (* (+ (* (* im (* im (* im im))) (* (+ 1/2 (* (* im im) 1/24)) (+ 1/2 (* (* im im) 1/24)))) -1) (cos re)) (+ (* im (* im (+ 1/2 (* (* im im) 1/24)))) -1))>
#<alt (* (+ (* (* im (* im (* im im))) (* (+ 1/2 (* (* im im) 1/24)) (+ 1/2 (* (* im im) 1/24)))) -1) (cos re))>
#<alt (+ (* (* im (* im (* im im))) (* (+ 1/2 (* (* im im) 1/24)) (+ 1/2 (* (* im im) 1/24)))) -1)>
#<alt (* (* im (* im (* im im))) (* (+ 1/2 (* (* im im) 1/24)) (+ 1/2 (* (* im im) 1/24))))>
#<alt (/ (cos re) (exp im))>
#<alt (cos re)>
#<alt (* 1/24 (* im im))>
#<alt (* (* im im) (+ 1/2 (* 1/24 (* im im))))>
#<alt (* im im)>
#<alt (* (* im im) 1/720)>
#<alt (+ 1/24 (* (* im im) 1/720))>
#<alt (* (* im im) 1/24)>
#<alt (* im (* im im))>
#<alt (* im (* im (* im im)))>

Outputs
#<alt (cos re)>
#<alt (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* 1/2 (cos re)))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re)))))))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (+ (* 1/2 (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))>
#<alt (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))))))>
#<alt (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im)))))) (* 1/2 (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im))))))))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))>
#<alt (* 2 (cos re))>
#<alt (+ (* 2 (cos re)) (* (pow im 2) (cos re)))>
#<alt (+ (* 2 (cos re)) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))>
#<alt (+ (* 2 (cos re)) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (exp im) (/ 1 (exp im)))>
#<alt (+ (exp im) (+ (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))>
#<alt (+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))>
#<alt (+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (+ (* 1/24 (/ 1 (exp im))) (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im))))))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))>
#<alt (cos re)>
#<alt (+ (cos re) (* im (cos re)))>
#<alt (+ (cos re) (* im (+ (cos re) (* 1/2 (* im (cos re))))))>
#<alt (+ (cos re) (* im (+ (cos re) (* im (+ (* 1/6 (* im (cos re))) (* 1/2 (cos re)))))))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (exp im)>
#<alt (+ (exp im) (* -1/2 (* (pow re 2) (exp im))))>
#<alt (+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* 1/24 (* (pow re 2) (exp im))))))>
#<alt (+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (exp im))) (* 1/24 (exp im)))))))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt (* (cos re) (exp im))>
#<alt 1>
#<alt (+ 1 im)>
#<alt (+ 1 (* im (+ 1 (* 1/2 im))))>
#<alt (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))>
#<alt (exp im)>
#<alt (exp im)>
#<alt (exp im)>
#<alt (exp im)>
#<alt (exp im)>
#<alt (exp im)>
#<alt (exp im)>
#<alt (exp im)>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (+ (* -1/2 (pow re 2)) (* 1/2 (* (pow im 2) (+ 1 (* -1/2 (pow re 2)))))))>
#<alt (+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (+ 1 (* -1/2 (pow re 2))))) (* 1/2 (+ 1 (* -1/2 (pow re 2))))))))>
#<alt (+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (+ 1 (* -1/2 (pow re 2))))) (* 1/2 (+ 1 (* -1/2 (pow re 2))))))))>
#<alt (* 1/24 (* (pow im 4) (+ 1 (* -1/2 (pow re 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))>
#<alt (* 1/24 (* (pow im 4) (+ 1 (* -1/2 (pow re 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (* -1/2 (pow re 2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (* -1/2 (pow re 2))>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))>
#<alt (* 1/2 (pow im 2))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))>
#<alt (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* 1/720 (pow im 6))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (cos re)>
#<alt (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))>
#<alt (+ (cos re) (* (pow im 2) (- (* 1/24 (* (pow im 2) (cos re))) (* -1/2 (cos re)))))>
#<alt (+ (cos re) (* (pow im 2) (- (* 1/24 (* (pow im 2) (cos re))) (* -1/2 (cos re)))))>
#<alt (* 1/24 (* (pow im 4) (cos re)))>
#<alt (* (pow im 4) (- (+ (* 1/24 (cos re)) (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 4) (- (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2)))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))>
#<alt (* (pow im 4) (- (+ (* -1 (/ (+ (* -24 (- (cos re) (* 1/2 (cos re)))) (* 12 (- (* 6 (cos re)) (+ (* -1 (cos re)) (* 12 (- (cos re) (* 1/2 (cos re)))))))) (pow im 6))) (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2))))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))>
#<alt (* 1/24 (* (pow im 4) (cos re)))>
#<alt (* (pow im 4) (- (+ (* 1/24 (cos re)) (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 4) (- (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2)))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))>
#<alt (* (pow im 4) (- (+ (* -1 (/ (+ (* -24 (- (cos re) (* 1/2 (cos re)))) (* 12 (- (* 6 (cos re)) (+ (* -1 (cos re)) (* 12 (- (cos re) (* 1/2 (cos re)))))))) (pow im 6))) (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2))))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))>
#<alt (/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (- (+ (* -1/2 (/ (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ 1 (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1)))>
#<alt (- (+ (* (pow re 2) (+ (* -1/2 (/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (* 1/24 (/ (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))))) (/ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ 1 (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1)))>
#<alt (- (+ (* (pow re 2) (+ (* -1/2 (/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (* (pow re 2) (+ (* -1/720 (/ (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (* 1/24 (/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))))))) (/ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ 1 (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1)))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))>
#<alt (* -1 (cos re))>
#<alt (+ (* -1 (cos re)) (* 1/4 (* (pow im 4) (cos re))))>
#<alt (+ (* -1 (cos re)) (* (pow im 4) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/4 (cos re)))))>
#<alt (+ (* -1 (cos re)) (* (pow im 4) (+ (* 1/4 (cos re)) (* (pow im 2) (+ (* 1/576 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))>
#<alt (* 1/576 (* (pow im 8) (cos re)))>
#<alt (* (pow im 8) (+ (* 1/576 (cos re)) (* 1/24 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 8) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4))))))>
#<alt (* (pow im 8) (+ (* -1 (/ (cos re) (pow im 8))) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4)))))))>
#<alt (* 1/576 (* (pow im 8) (cos re)))>
#<alt (* (pow im 8) (+ (* 1/576 (cos re)) (* 1/24 (/ (cos re) (pow im 2)))))>
#<alt (* (pow im 8) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4))))))>
#<alt (* (pow im 8) (+ (* -1 (/ (cos re) (pow im 8))) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4)))))))>
#<alt (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)>
#<alt (- (+ (* -1/2 (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))) (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2))) 1)>
#<alt (- (+ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (* (pow re 2) (+ (* -1/2 (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (* 1/24 (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)))))) 1)>
#<alt (- (+ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (* (pow re 2) (+ (* -1/2 (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))) (* 1/24 (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))))))) 1)>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))>
#<alt -1>
#<alt (- (* 1/4 (pow im 4)) 1)>
#<alt (- (* (pow im 4) (+ 1/4 (* 1/24 (pow im 2)))) 1)>
#<alt (- (* (pow im 4) (+ 1/4 (* (pow im 2) (+ 1/24 (* 1/576 (pow im 2)))))) 1)>
#<alt (* 1/576 (pow im 8))>
#<alt (* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 8) (- (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))) (/ 1 (pow im 8))))>
#<alt (* 1/576 (pow im 8))>
#<alt (* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 8) (- (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))) (/ 1 (pow im 8))))>
#<alt (* 1/4 (pow im 4))>
#<alt (* (pow im 4) (+ 1/4 (* 1/24 (pow im 2))))>
#<alt (* (pow im 4) (+ 1/4 (* (pow im 2) (+ 1/24 (* 1/576 (pow im 2))))))>
#<alt (* (pow im 4) (+ 1/4 (* (pow im 2) (+ 1/24 (* 1/576 (pow im 2))))))>
#<alt (* 1/576 (pow im 8))>
#<alt (* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* 1/576 (pow im 8))>
#<alt (* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))>
#<alt (/ 1 (exp im))>
#<alt (+ (* -1/2 (/ (pow re 2) (exp im))) (/ 1 (exp im)))>
#<alt (+ (* (pow re 2) (- (* 1/24 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/720 (/ (pow re 2) (exp im))) (* 1/24 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (cos re)>
#<alt (+ (cos re) (* -1 (* im (cos re))))>
#<alt (+ (cos re) (* im (- (* -1 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))>
#<alt (+ (cos re) (* im (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt (/ (cos re) (exp im))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))>
#<alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt (* 1/720 (pow im 2))>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow im 2)))>
#<alt (+ 1/24 (* 1/720 (pow im 2)))>
#<alt (+ 1/24 (* 1/720 (pow im 2)))>
#<alt (* 1/720 (pow im 2))>
#<alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* 1/720 (pow im 2))>
#<alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 3)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>

Calls

99 calls:

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

rewrite353.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4306×	`-lowering-.f32`
4306×	`-lowering-.f64`
2614×	`fma-lowering-fma.f32`
2614×	`fma-lowering-fma.f64`
1928×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	208
1	289	179
2	2585	174
0	8691	174

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 624

Calls

Call 1

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

Outputs
(+.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(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 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 im)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im))) (/.f64 (-.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (exp.f64 im) (cos.f64 re))) (/.f64 (exp.f64 im) (cos.f64 re)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im))))) (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im))))
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(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/576 binary64))) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 im im))))
(.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))
(.f64 im (.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))
(.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))) (.f64 im im))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))) (.f64 (*.f64 im im) #s(literal 1 binary64)))
(.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) im)
(.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (*.f64 im #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(*.f64 im im)
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(.f64 (.f64 im im) #s(literal 1/720 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 im im))
(.f64 (.f64 im #s(literal 1/720 binary64)) im)
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))
(+.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))))
(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im #s(literal 1/720 binary64)) im #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (*.f64 im im)))) #s(literal 1/373248000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)))))
(/.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/17280 binary64) (.f64 im im)))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64)))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)))) (neg.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))))
(/.f64 (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (*.f64 im im)))) #s(literal 1/373248000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(.f64 im (.f64 im #s(literal 1/24 binary64)))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
(.f64 (.f64 im #s(literal 1/24 binary64)) im)
(exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)))
(pow.f64 im #s(literal 3 binary64))
(pow.f64 (*.f64 im im) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 im (.f64 im im))
(.f64 (.f64 im im) im)
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 im)))
(exp.f64 (.f64 (log.f64 (.f64 im im)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (.f64 (log.f64 im) #s(literal 2 binary64))))
(pow.f64 im #s(literal 4 binary64))
(pow.f64 (*.f64 im im) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 im))
(.f64 im (.f64 im (*.f64 im im)))
(.f64 (.f64 im im) (*.f64 im im))
(.f64 (.f64 im (*.f64 im im)) im)

simplify282.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4352×	`-lowering-.f32`
4352×	`-lowering-.f64`
2654×	`+-lowering-+.f64`
2654×	`+-lowering-+.f32`
1590×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	4784
1	1413	3952
2	5614	3805
0	8476	3805

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(cos re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re)))))))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* 1/2 (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im)))))) (* 1/2 (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im))))))))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(* 2 (cos re))
(+ (* 2 (cos re)) (* (pow im 2) (cos re)))
(+ (* 2 (cos re)) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))
(+ (* 2 (cos re)) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (exp im) (/ 1 (exp im)))
(+ (exp im) (+ (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))
(+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))
(+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (+ (* 1/24 (/ 1 (exp im))) (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im))))))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(cos re)
(+ (cos re) (* im (cos re)))
(+ (cos re) (* im (+ (cos re) (* 1/2 (* im (cos re))))))
(+ (cos re) (* im (+ (cos re) (* im (+ (* 1/6 (* im (cos re))) (* 1/2 (cos re)))))))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(exp im)
(+ (exp im) (* -1/2 (* (pow re 2) (exp im))))
(+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* 1/24 (* (pow re 2) (exp im))))))
(+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (exp im))) (* 1/24 (exp im)))))))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp im))
(* (cos re) (exp 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 (* (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 (+ (* -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 (+ (* -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))))))
(* -1/2 (* (pow re 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 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* -1/2 (* (pow re 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 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (+ (* -1/2 (pow re 2)) (* 1/2 (* (pow im 2) (+ 1 (* -1/2 (pow re 2)))))))
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (+ 1 (* -1/2 (pow re 2))))) (* 1/2 (+ 1 (* -1/2 (pow re 2))))))))
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (+ 1 (* -1/2 (pow re 2))))) (* 1/2 (+ 1 (* -1/2 (pow re 2))))))))
(* 1/24 (* (pow im 4) (+ 1 (* -1/2 (pow re 2)))))
(* (pow im 4) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2)))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))
(* 1/24 (* (pow im 4) (+ 1 (* -1/2 (pow re 2)))))
(* (pow im 4) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2)))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* 1/24 (+ 1 (* -1/2 (pow re 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow re 2))) (pow im 2))) (/ 1 (pow im 4))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* -1/2 (pow re 2)))
(* -1/2 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* -1/2 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (pow re 2))
(* -1/2 (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)
(pow re 2)
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/720 (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))))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* (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))))))
(* 1/720 (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))))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))
(* (pow im 4) (+ 1/24 (* 1/720 (pow im 2))))
(* (pow im 4) (+ 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 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(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)) (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (- (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2)))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))
(* (pow im 4) (- (+ (* -1 (/ (+ (* -24 (- (cos re) (* 1/2 (cos re)))) (* 12 (- (* 6 (cos re)) (+ (* -1 (cos re)) (* 12 (- (cos re) (* 1/2 (cos re)))))))) (pow im 6))) (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2))))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))
(* 1/24 (* (pow im 4) (cos re)))
(* (pow im 4) (- (+ (* 1/24 (cos re)) (/ (cos re) (pow im 2))) (* 1/2 (/ (cos re) (pow im 2)))))
(* (pow im 4) (- (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2)))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))
(* (pow im 4) (- (+ (* -1 (/ (+ (* -24 (- (cos re) (* 1/2 (cos re)))) (* 12 (- (* 6 (cos re)) (+ (* -1 (cos re)) (* 12 (- (cos re) (* 1/2 (cos re)))))))) (pow im 6))) (+ (* 1/24 (cos re)) (+ (* 6 (/ (cos re) (pow im 4))) (/ (cos re) (pow im 2))))) (+ (* -1 (/ (cos re) (pow im 4))) (+ (* 1/2 (/ (cos re) (pow im 2))) (* 12 (/ (- (cos re) (* 1/2 (cos re))) (pow im 4)))))))
(/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(- (+ (* -1/2 (/ (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ 1 (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1)))
(- (+ (* (pow re 2) (+ (* -1/2 (/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (* 1/24 (/ (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))))) (/ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ 1 (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1)))
(- (+ (* (pow re 2) (+ (* -1/2 (/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (* (pow re 2) (+ (* -1/720 (/ (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (* 1/24 (/ (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))))))) (/ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))) (/ 1 (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1)))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(/ (* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (- (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) 1))
(* -1 (cos re))
(+ (* -1 (cos re)) (* 1/4 (* (pow im 4) (cos re))))
(+ (* -1 (cos re)) (* (pow im 4) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/4 (cos re)))))
(+ (* -1 (cos re)) (* (pow im 4) (+ (* 1/4 (cos re)) (* (pow im 2) (+ (* 1/576 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(* 1/576 (* (pow im 8) (cos re)))
(* (pow im 8) (+ (* 1/576 (cos re)) (* 1/24 (/ (cos re) (pow im 2)))))
(* (pow im 8) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4))))))
(* (pow im 8) (+ (* -1 (/ (cos re) (pow im 8))) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4)))))))
(* 1/576 (* (pow im 8) (cos re)))
(* (pow im 8) (+ (* 1/576 (cos re)) (* 1/24 (/ (cos re) (pow im 2)))))
(* (pow im 8) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4))))))
(* (pow im 8) (+ (* -1 (/ (cos re) (pow im 8))) (+ (* 1/576 (cos re)) (+ (* 1/24 (/ (cos re) (pow im 2))) (* 1/4 (/ (cos re) (pow im 4)))))))
(- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)
(- (+ (* -1/2 (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))) (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2))) 1)
(- (+ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (* (pow re 2) (+ (* -1/2 (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (* 1/24 (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)))))) 1)
(- (+ (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) (* (pow re 2) (+ (* -1/2 (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1)) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))) (* 1/24 (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))))))) 1)
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
(* (cos re) (- (* (pow im 4) (pow (+ 1/2 (* 1/24 (pow im 2))) 2)) 1))
-1
(- (* 1/4 (pow im 4)) 1)
(- (* (pow im 4) (+ 1/4 (* 1/24 (pow im 2)))) 1)
(- (* (pow im 4) (+ 1/4 (* (pow im 2) (+ 1/24 (* 1/576 (pow im 2)))))) 1)
(* 1/576 (pow im 8))
(* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 8) (- (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))) (/ 1 (pow im 8))))
(* 1/576 (pow im 8))
(* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 8) (- (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))) (/ 1 (pow im 8))))
(* 1/4 (pow im 4))
(* (pow im 4) (+ 1/4 (* 1/24 (pow im 2))))
(* (pow im 4) (+ 1/4 (* (pow im 2) (+ 1/24 (* 1/576 (pow im 2))))))
(* (pow im 4) (+ 1/4 (* (pow im 2) (+ 1/24 (* 1/576 (pow im 2))))))
(* 1/576 (pow im 8))
(* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* 1/576 (pow im 8))
(* (pow im 8) (+ 1/576 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 8) (+ 1/576 (+ (/ 1/4 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(/ 1 (exp im))
(+ (* -1/2 (/ (pow re 2) (exp im))) (/ 1 (exp im)))
(+ (* (pow re 2) (- (* 1/24 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/720 (/ (pow re 2) (exp im))) (* 1/24 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(cos re)
(+ (cos re) (* -1 (* im (cos re))))
(+ (cos re) (* im (- (* -1 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))
(+ (cos re) (* im (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (exp im))
(/ (cos re) (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)
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (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)))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (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)))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (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)
(pow im 2)
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
(* 1/720 (pow im 2))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
(* 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)))))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)
(pow im 4)

Outputs
(cos re)
(cos.f64 re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(+ (cos re) (* (pow im 2) (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* 1/2 (cos re)))))
(+.f64 (.f64 im (.f64 im (.f64 im #s(literal 0 binary64)))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re)))))))))
(+.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))) (.f64 im (.f64 (+.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 (cos.f64 re) #s(literal -1/6 binary64)) (.f64 (cos.f64 re) #s(literal 1/12 binary64))) (.f64 im #s(literal -1/2 binary64)))) (.f64 im im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* 1/2 (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (.f64 re re) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 im)) (/.f64 #s(literal -1/2 binary64) (exp.f64 im)))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 re (.f64 re (+.f64 (+.f64 (.f64 (exp.f64 im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) #s(literal 1/24 binary64)))) (.f64 re (.f64 re (/.f64 #s(literal 1/24 binary64) (exp.f64 im))))) (/.f64 #s(literal -1/2 binary64) (exp.f64 im)))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im)))))) (* 1/2 (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im))))))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 re re) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (.f64 (exp.f64 im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) #s(literal 1/24 binary64)))) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/24 binary64) (exp.f64 im)) (.f64 re (.f64 re (+.f64 (.f64 (exp.f64 im) #s(literal -1/720 binary64)) (/.f64 #s(literal -1/720 binary64) (exp.f64 im)))))))) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im))))
(* 2 (cos re))
(*.f64 (cos.f64 re) #s(literal 2 binary64))
(+ (* 2 (cos re)) (* (pow im 2) (cos re)))
(.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im im)))
(+ (* 2 (cos re)) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))
(+.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 im im) (+.f64 (cos.f64 re) (.f64 im #s(literal 0 binary64)))))
(+ (* 2 (cos re)) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))
(+.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 im im) (+.f64 (cos.f64 re) (.f64 im (.f64 (+.f64 (.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) #s(literal 1/12 binary64))) (-.f64 #s(literal 0 binary64) im))))))
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
(+.f64 (*.f64 (cos.f64 re) (exp.f64 im)) (/.f64 (cos.f64 re) (exp.f64 im)))
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(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(cos re)
(cos.f64 re)
(+ (cos re) (* -1 (* im (cos re))))
(*.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 0 binary64) im) #s(literal 1 binary64)))
(+ (cos re) (* im (- (* -1 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))
(+.f64 (cos.f64 re) (.f64 im (.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+ (cos re) (* im (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))
(+.f64 (cos.f64 re) (.f64 im (-.f64 (.f64 im (+.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 im (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))) (cos.f64 re))))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
(/ (cos re) (exp im))
(/.f64 (cos.f64 re) (exp.f64 im))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) #s(literal 1/24 binary64)))))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 re (.f64 re #s(literal -1/720 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)
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(* 1/24 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* 1/24 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.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)
(pow im 2)
(*.f64 im im)
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow im 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(+ 1/24 (* 1/720 (pow im 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(+ 1/24 (* 1/720 (pow im 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(* 1/720 (pow im 2))
(.f64 im (.f64 im #s(literal 1/720 binary64)))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 3)
(.f64 im (.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))

eval332.0ms (2.8%)

Compiler: Compiled 48479 to 2669 computations (94.5% saved)

prune166.0ms (1.4%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1183	20	1203
Fresh	9	8	17
Picked	3	2	5
Done	0	2	2
Total	1195	32	1227

Accuracy

100.0%

Counts

1227 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
	38.4%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
▶	49.8%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
	51.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
	62.8%	(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
	58.0%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
▶	17.4%	(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
	19.9%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
	9.1%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
	62.8%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) im) (.f64 im #s(literal 1/720 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
	46.6%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
	38.0%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
▶	41.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
	40.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
	37.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
	62.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
	60.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
▶	52.4%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
	53.9%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	60.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
	79.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
	51.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	27.4%	(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
✓	90.6%	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	93.6%	(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
	35.9%	(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
	57.3%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im)))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
✓	57.5%	(cos.f64 re)
✓	35.2%	#s(literal 1 binary64)

Compiler

Compiled 1928 to 941 computations (51.2% saved)

simplify264.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (*.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
✓	cost-diff	0	(.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
✓	cost-diff	512	(.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))
✓	cost-diff	512	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re))))
✓	cost-diff	896	(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 re re)
✓	cost-diff	0	(.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 im im))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
✓	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(cosh.f64 im)
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
✓	cost-diff	128	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))

Rules

4252×	`-lowering-.f32`
4252×	`-lowering-.f64`
3180×	`+-lowering-+.f64`
3180×	`+-lowering-+.f32`
1584×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	558
1	209	490
2	781	478
3	3468	468
4	6243	461
0	8027	461

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* 1 (cosh im)) (cos re))
(* 1 (cosh im))
1
(cosh im)
im
(cos re)
re
(+ 1 (* 1/2 (* im im)))
1
(* 1/2 (* im im))
1/2
(* im im)
im
(+ 1 (* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)))
1
(* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2))
(* re re)
re
(+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)
(* (* re re) (+ 1/24 (* (* re re) -1/720)))
(+ 1/24 (* (* re re) -1/720))
1/24
(* (* re re) -1/720)
-1/720
-1/2
(+ (* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24)))))) (+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))))
(* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24))))))
(* re re)
re
(* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24)))))
-1/2
(+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24))))
1
(* (* im im) (+ 1/2 (* (* im im) 1/24)))
(* im im)
im
(+ 1/2 (* (* im im) 1/24))
1/2
(* (* im im) 1/24)
1/24
(+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))))
(* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))
(/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))
(/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))
(+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))))
(* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2))))
(+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8)))
1
(* (* re (* re re)) (* (* re (* re re)) -1/8))
(* re (* re re))
re
(* re re)
(* (* re (* re re)) -1/8)
-1/8
(- 1 (* re (* re -1/2)))
(* re (* re -1/2))
(* re -1/2)
-1/2
(* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))
(+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1)))
(* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))
(- (* re (* re -1/2)) 1)
(* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))
(- 1 (* 1/4 (* (* re re) (* re re))))
(* 1/4 (* (* re re) (* re re)))
1/4
(* (* re re) (* re re))
(* im (* im (+ 1/2 (* im (* im 1/24)))))
im
(* im (+ 1/2 (* im (* im 1/24))))
(+ 1/2 (* im (* im 1/24)))
1/2
(* im (* im 1/24))
(* im 1/24)
1/24
(* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2))))

Outputs
(* (* 1 (cosh im)) (cos re))
(*.f64 (cosh.f64 im) (cos.f64 re))
(* 1 (cosh im))
(cosh.f64 im)
1
#s(literal 1 binary64)
(cosh im)
(cosh.f64 im)
im
(cos re)
(cos.f64 re)
re
(+ 1 (* 1/2 (* im im)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
1
#s(literal 1 binary64)
(* 1/2 (* im im))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
1/2
#s(literal 1/2 binary64)
(* im im)
(*.f64 im im)
im
(+ 1 (* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2))
(.f64 (.f64 re re) (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))
(* re re)
(*.f64 re re)
re
(+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)
(+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64))
(* (* re re) (+ 1/24 (* (* re re) -1/720)))
(.f64 re (.f64 re (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))))
(+ 1/24 (* (* re re) -1/720))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* re re) -1/720)
(.f64 (.f64 re re) #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24)))))) (+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))) (.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24))))))
(.f64 (.f64 re re) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))))
(* re re)
(*.f64 re re)
re
(* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24)))))
(+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
-1/2
#s(literal -1/2 binary64)
(+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
1
#s(literal 1 binary64)
(* (* im im) (+ 1/2 (* (* im im) 1/24)))
(.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(* im im)
(*.f64 im im)
im
(+ 1/2 (* (* im im) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* im im) 1/24)
(.f64 (.f64 im im) #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))
(.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))
(/.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (*.f64 re re))
(/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/4 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/4 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re (*.f64 re #s(literal 1/4 binary64)))))))))
(* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/8 binary64)))))
(+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64))))
1
#s(literal 1 binary64)
(* (* re (* re re)) (* (* re (* re re)) -1/8))
(.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))
(* re (* re re))
(.f64 re (.f64 re re))
re
(* re re)
(*.f64 re re)
(* (* re (* re re)) -1/8)
(.f64 (.f64 re (*.f64 re re)) #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(- 1 (* re (* re -1/2)))
(-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))
(* re (* re -1/2))
(.f64 re (.f64 re #s(literal -1/2 binary64)))
(* re -1/2)
(*.f64 re #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/4 binary64))))))))
(+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/4 binary64))))))
(* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))
(.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/4 binary64)))))
(- (* re (* re -1/2)) 1)
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal -1 binary64))
(* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))
(.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (*.f64 re #s(literal -1/4 binary64)))))
(- 1 (* 1/4 (* (* re re) (* re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 re #s(literal -1/4 binary64))))
(* 1/4 (* (* re re) (* re re)))
(.f64 re (.f64 (.f64 re (.f64 re re)) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* re re) (* re re))
(.f64 re (.f64 re (*.f64 re re)))
(* im (* im (+ 1/2 (* im (* im 1/24)))))
(.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
im
(* im (+ 1/2 (* im (* im 1/24))))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(+ 1/2 (* im (* im 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(* im (* im 1/24))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* im 1/24)
(*.f64 im #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/4 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64)))))

localize349.0ms (2.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 im #s(literal 1/24 binary64))
✓	accuracy	99.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
✓	accuracy	88.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
✓	accuracy	61.4%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
✓	accuracy	90.1%	(.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
✓	accuracy	75.1%	(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
✓	accuracy	73.8%	(/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re))
✓	accuracy	68.0%	(.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 re re) #s(literal -1/720 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 im im))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
✓	accuracy	100.0%	(cosh.f64 im)
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))

Results

187.0ms

256×

valid

Compiler

Compiled 718 to 58 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 66.0ms (54% of total)

ival-add: 27.0ms (22.1% of total)

...c/correct-round.rkt:119:19: 8.0ms (6.5% of total)

ival-cos: 7.0ms (5.7% of total)

ival-div: 6.0ms (4.9% of total)

ival-sub: 4.0ms (3.3% of total)

ival-cosh: 3.0ms (2.5% of total)

const: 1.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series57.0ms (0.5%)

Counts

25 → 420

Calls

Call 1

Inputs
#<alt (* (* 1 (cosh im)) (cos re))>
#<alt (* 1 (cosh im))>
#<alt (cosh im)>
#<alt (cos re)>
#<alt (+ 1 (* 1/2 (* im im)))>
#<alt (* 1/2 (* im im))>
#<alt (* im im)>
#<alt (+ 1 (* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)))>
#<alt (* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2))>
#<alt (* re re)>
#<alt (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)>
#<alt (+ (* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24)))))) (+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))))>
#<alt (+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))))>
#<alt (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))>
#<alt (* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24))))))>
#<alt (/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))>
#<alt (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))))>
#<alt (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))>
#<alt (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1)))>
#<alt (* (* re re) -1/720)>
#<alt (* (* re re) (+ 1/24 (* (* re re) -1/720)))>
#<alt (+ 1/24 (* (* re re) -1/720))>
#<alt (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))>
#<alt (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))>
#<alt (* im 1/24)>

Outputs
#<alt (cos re)>
#<alt (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))>
#<alt (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))>
#<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))))))))>
#<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)))))))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt (* 1/2 (+ (exp im) (/ 1 (exp im))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))>
#<alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt (cos re)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (* 1/2 (pow im 2))>
#<alt (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))>
#<alt (* 1/2 (pow im 2))>
#<alt (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (* 1/2 (pow im 2))>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))>
#<alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))>
#<alt (* -1/720 (pow re 6))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* -1/720 (pow re 6))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* -1/2 (pow re 2))>
#<alt (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))>
#<alt (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))>
#<alt (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))>
#<alt (* -1/720 (pow re 6))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* -1/720 (pow re 6))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt -1/2>
#<alt (- (* 1/24 (pow re 2)) 1/2)>
#<alt (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)>
#<alt (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)>
#<alt (* -1/720 (pow re 4))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* -1/720 (pow re 4))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))>
#<alt (+ 1 (* -1/2 (pow re 2)))>
#<alt (+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ 1/24 (* -1/48 (pow re 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ 1/24 (* -1/48 (pow re 2)))))))))>
#<alt (* (pow im 4) (+ 1/24 (* -1/48 (pow re 2))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (* 1/2 (/ 1 (pow im 2)))))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))>
#<alt (* (pow im 4) (+ 1/24 (* -1/48 (pow re 2))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (* 1/2 (/ 1 (pow im 2)))))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* 1/2 (pow im 2))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))>
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#<alt (* (pow re 8) (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))))))>
#<alt (* (pow re 8) (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 8))))))>
#<alt (* 1/2 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))>
#<alt (* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))))>
#<alt (* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))))>
#<alt (* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))))>
#<alt (* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))>
#<alt (* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))>
#<alt (* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))>
#<alt (* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow re 2)))>
#<alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/4 (pow re 2)))))>
#<alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/4 (pow re 2)))))>
#<alt (* 1/4 (pow re 4))>
#<alt (* (pow re 4) (+ 1/4 (* 1/2 (/ 1 (pow re 2)))))>
#<alt (* (pow re 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))>
#<alt (* (pow re 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))>
#<alt (* 1/4 (pow re 4))>
#<alt (* (pow re 4) (+ 1/4 (* 1/2 (/ 1 (pow re 2)))))>
#<alt (* (pow re 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))>
#<alt (* (pow re 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* -1/720 (pow re 2))>
#<alt (* 1/24 (pow re 2))>
#<alt (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2))))>
#<alt (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2))))>
#<alt (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2))))>
#<alt (* -1/720 (pow re 4))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* -1/720 (pow re 4))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow re 2)))>
#<alt (+ 1/24 (* -1/720 (pow re 2)))>
#<alt (+ 1/24 (* -1/720 (pow re 2)))>
#<alt (* -1/720 (pow re 2))>
#<alt (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* -1/720 (pow re 2))>
#<alt (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))>
#<alt (* 1/2 (/ (pow im 2) (pow re 2)))>
#<alt (* (pow im 2) (+ (* 1/24 (/ (pow im 2) (pow re 2))) (* 1/2 (/ 1 (pow re 2)))))>
#<alt (* (pow im 2) (+ (* 1/24 (/ (pow im 2) (pow re 2))) (* 1/2 (/ 1 (pow re 2)))))>
#<alt (* (pow im 2) (+ (* 1/24 (/ (pow im 2) (pow re 2))) (* 1/2 (/ 1 (pow re 2)))))>
#<alt (* 1/24 (/ (pow im 4) (pow re 2)))>
#<alt (* (pow im 4) (+ (* 1/2 (/ 1 (* (pow im 2) (pow re 2)))) (* 1/24 (/ 1 (pow re 2)))))>
#<alt (* (pow im 4) (+ (* 1/2 (/ 1 (* (pow im 2) (pow re 2)))) (* 1/24 (/ 1 (pow re 2)))))>
#<alt (* (pow im 4) (+ (* 1/2 (/ 1 (* (pow im 2) (pow re 2)))) (* 1/24 (/ 1 (pow re 2)))))>
#<alt (* 1/24 (/ (pow im 4) (pow re 2)))>
#<alt (* (pow im 4) (+ (* 1/2 (/ 1 (* (pow im 2) (pow re 2)))) (* 1/24 (/ 1 (pow re 2)))))>
#<alt (* (pow im 4) (+ (* 1/2 (/ 1 (* (pow im 2) (pow re 2)))) (* 1/24 (/ 1 (pow re 2)))))>
#<alt (* (pow im 4) (+ (* 1/2 (/ 1 (* (pow im 2) (pow re 2)))) (* 1/24 (/ 1 (pow re 2)))))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))>
#<alt (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))>
#<alt (+ (* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2)))))) (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ (* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2)))))) (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (+ (* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2)))))) (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))>
#<alt (* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))>
#<alt (* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))>
#<alt (* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))>
#<alt (* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2))))))>
#<alt (* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))>
#<alt (* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))>
#<alt (* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))>
#<alt (* 1/2 (* (pow im 2) (- 1 (* 1/4 (pow re 4)))))>
#<alt (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))>
#<alt (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))>
#<alt (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))>
#<alt (* 1/24 (* (pow im 4) (- 1 (* 1/4 (pow re 4)))))>
#<alt (* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))>
#<alt (* 1/24 (* (pow im 4) (- 1 (* 1/4 (pow re 4)))))>
#<alt (* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))>
#<alt (* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>

Calls

105 calls:

Time	Variable		Point	Expression
20.0ms	re	@	inf	(/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))
3.0ms	im	@	0	(+ (* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24)))))) (+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))))
2.0ms	im	@	0	(/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))
2.0ms	re	@	0	(/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))
1.0ms	im	@	inf	(/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))

rewrite371.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4410×	`-lowering-.f32`
4410×	`-lowering-.f64`
1736×	`unpow-prod-down`
1620×	`fma-lowering-fma.f32`
1620×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	358
1	392	317
2	3804	310
0	8267	310

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 409

Calls

Call 1

Inputs
(* (* 1 (cosh im)) (cos re))
(* 1 (cosh im))
(cosh im)
(cos re)
(+ 1 (* 1/2 (* im im)))
(* 1/2 (* im im))
(* im im)
(+ 1 (* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)))
(* (* re re) (+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2))
(* re re)
(+ (* (* re re) (+ 1/24 (* (* re re) -1/720))) -1/2)
(+ (* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24)))))) (+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))))
(+ 1 (* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))))
(* (* re re) (/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re)))
(* (* re re) (* -1/2 (+ 1 (* (* im im) (+ 1/2 (* (* im im) 1/24))))))
(/ (+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (- 1 (* re (* re -1/2)))))
(+ (* (+ 1 (* (* re (* re re)) (* (* re (* re re)) -1/8))) (- 1 (* re (* re -1/2)))) (* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))))
(* (+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1))) (* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24)))))))
(+ 1 (* (* re (* re -1/2)) (- (* re (* re -1/2)) 1)))
(* (* re re) -1/720)
(* (* re re) (+ 1/24 (* (* re re) -1/720)))
(+ 1/24 (* (* re re) -1/720))
(/ (* (* im im) (+ 1/2 (* (* im im) 1/24))) (* re re))
(* (- 1 (* 1/4 (* (* re re) (* re re)))) (* im (* im (+ 1/2 (* im (* im 1/24))))))
(* im 1/24)

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

simplify346.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4730×	`-lowering-.f32`
4730×	`-lowering-.f64`
3480×	`+-lowering-+.f64`
3480×	`+-lowering-+.f32`
1618×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	8568
1	1486	6914
2	6335	6660
0	8161	6660

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)))))))
(* 1/2 (+ (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
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* 1/2 (pow im 2)))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (pow im 2))
(* 1/2 (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)
(pow im 2)
(pow im 2)
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1/720 (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 (pow re 2))
(* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))
(* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))
(* (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))) (+ 1/720 (/ 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))) (+ 1/720 (/ 1/2 (pow re 4)))))
(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
(- (* 1/24 (pow re 2)) 1/2)
(- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)
(- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)
(* -1/720 (pow re 4))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* -1/720 (pow re 4))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(+ 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 (+ (* -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 (+ (* -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))))))
(* -1/2 (* (pow re 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 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* -1/2 (* (pow re 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 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(* (pow re 2) (+ (* -1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (/ 1 (pow re 2)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2)))))
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ 1/24 (* -1/48 (pow re 2)))))))))
(+ 1 (+ (* -1/2 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ 1/24 (* -1/48 (pow re 2)))))))))
(* (pow im 4) (+ 1/24 (* -1/48 (pow re 2))))
(* (pow im 4) (+ 1/24 (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))
(* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))
(* (pow im 4) (+ 1/24 (* -1/48 (pow re 2))))
(* (pow im 4) (+ 1/24 (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (* 1/2 (/ 1 (pow im 2)))))))
(* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))
(* (pow im 4) (+ 1/24 (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (+ (* -1/48 (pow re 2)) (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (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 (* (pow im 2) (+ 1/2 (* 1/24 (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 (* (pow im 2) (+ 1/2 (* 1/24 (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 (* (pow im 2) (+ 1/2 (* 1/24 (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
(+ 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)))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
(* (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)))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (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)))))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* -1/2 (pow re 2))
(+ (* -1/2 (pow re 2)) (* -1/4 (* (pow im 2) (pow re 2))))
(+ (* -1/2 (pow re 2)) (* (pow im 2) (+ (* -1/4 (pow re 2)) (* -1/48 (* (pow im 2) (pow re 2))))))
(+ (* -1/2 (pow re 2)) (* (pow im 2) (+ (* -1/4 (pow re 2)) (* -1/48 (* (pow im 2) (pow re 2))))))
(* -1/48 (* (pow im 4) (pow re 2)))
(* (pow im 4) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (* -1/48 (pow re 2))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (* -1/48 (pow re 2)))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (* -1/48 (pow re 2)))))
(* -1/48 (* (pow im 4) (pow re 2)))
(* (pow im 4) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (* -1/48 (pow re 2))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (* -1/48 (pow re 2)))))
(* (pow im 4) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (+ (* -1/4 (/ (pow re 2) (pow im 2))) (* -1/48 (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 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ 1/2 (* (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 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (+ 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))))) (+ 1/2 (* (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 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (+ 1/2 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (- (+ (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))) (+ 5/8 (+ (* 1/8 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ (* 1/2 (- (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))))))) (+ (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* 1/2 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))))) (+ 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))))
(* 8 (* (pow re 2) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)))
(* (pow re 2) (- (+ (* 8 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)) (* 8 (/ (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8) (pow re 2)))) (* 32 (/ (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16) (pow re 2)))))
(* (pow re 2) (- (+ (* -1 (/ (+ (* 4 (- (* 8 (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8)) (* 32 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)))) (* 64 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))) (pow re 4))) (+ (* 8 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)) (* 8 (/ (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8) (pow re 2))))) (* 32 (/ (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16) (pow re 2)))))
(* (pow re 2) (- (+ (* 8 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)) (+ (* 8 (/ (+ 1/2 (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (pow re 6))) (* 8 (/ (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8) (pow re 2))))) (+ (* -4 (/ (+ (* 4 (- (* 8 (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8)) (* 32 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)))) (* 64 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))) (pow re 6))) (+ (* 4 (/ (- (* 8 (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8)) (* 32 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))) (pow re 4))) (+ (* 8 (/ (- (* 8 (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8)) (* 32 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))) (pow re 6))) (+ (* 32 (/ (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16) (pow re 2))) (+ (* 64 (/ (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16) (pow re 4))) (* 64 (/ (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16) (pow re 6))))))))))
(* 8 (* (pow re 2) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)))
(* (pow re 2) (- (+ (* 8 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)) (* 8 (/ (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8) (pow re 2)))) (* 32 (/ (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16) (pow re 2)))))
(* (pow re 2) (- (+ (* -1 (/ (+ (* 4 (- (* 8 (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8)) (* 32 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)))) (* 64 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))) (pow re 4))) (+ (* 8 (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16)) (* 8 (/ (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8) (pow re 2))))) (* 32 (/ (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16) (pow re 2)))))
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(/ (+ 1 (* -1/8 (pow re 6))) (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))))
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(* 1/24 (/ (* (pow im 4) (- 1 (* 1/4 (pow re 4)))) (- 1 (* -1/2 (pow re 2)))))
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(+ 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 (* 1/2 (* (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 (+ (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 4) (- (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/8)))))))
(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ 1/2 (+ (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 4) (- (+ (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))) 1/8)))))))
(* (pow re 8) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))
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(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (/ 1/2 (pow re 6))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (+ (/ 1/2 (pow re 6)) (+ (/ 1 (pow re 8)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 8))))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
(* (pow re 8) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))
(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (/ 1/2 (pow re 6))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (+ (/ 1/2 (pow re 6)) (+ (/ 1 (pow re 8)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 8))))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
(* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2))))
(+ (* 1/2 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2)))))
(+ (* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2)))) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))))
(+ (* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2)))) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))))
(* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
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(* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
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(* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))
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(+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/8 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2)))))) (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))))
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(* -1/16 (* (pow im 2) (* (pow re 8) (+ 1/2 (* 1/24 (pow im 2))))))
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(* -1/16 (* (pow im 2) (* (pow re 8) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 8) (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
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(* (pow re 8) (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 8))))))
(* 1/2 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))))
(* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
(* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
1
(+ 1 (* 1/2 (pow re 2)))
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(+ 1 (* (pow re 2) (+ 1/2 (* 1/4 (pow re 2)))))
(* 1/4 (pow re 4))
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(* 1/4 (pow re 4))
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(* -1/720 (pow re 2))
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(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
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(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
1/24
(+ 1/24 (* -1/720 (pow re 2)))
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(* 1/2 (/ (pow im 2) (pow re 2)))
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(* (pow im 2) (+ (* 1/24 (/ (pow im 2) (pow re 2))) (* 1/2 (/ 1 (pow re 2)))))
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(/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))
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(/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))
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(/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))
(/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))
(/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))
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(+ (* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2)))))) (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))
(* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))
(* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))
(* -1/4 (* (pow im 2) (* (pow re 4) (+ 1/2 (* 1/24 (pow im 2))))))
(* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))
(* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))
(* (pow re 4) (+ (* -1/4 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 4))))
(* 1/2 (* (pow im 2) (- 1 (* 1/4 (pow re 4)))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))
(* 1/24 (* (pow im 4) (- 1 (* 1/4 (pow re 4)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(* 1/24 (* (pow im 4) (- 1 (* 1/4 (pow re 4)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 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)

Outputs
(cos re)
(cos.f64 re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+.f64 (cos.f64 re) (.f64 (.f64 im im) (.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 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 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (cos.f64 re)) (.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) (.f64 (.f64 im im) (.f64 im im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 re re))))
(+ (* 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 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 re re) (.f64 (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) #s(literal 1/48 binary64))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) (.f64 (.f64 (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (+.f64 (.f64 (.f64 re re) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (.f64 (.f64 re re) (.f64 re re))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 re (.f64 re #s(literal 1/24 binary64)))))))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 re (.f64 re #s(literal -1/720 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 im 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+ 1 (* 1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+ 1 (* 1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(* 1/2 (pow im 2))
(.f64 #s(literal 1/2 binary64) (.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)
(pow im 2)
(*.f64 im im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 re (.f64 re #s(literal 1/24 binary64)))))))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 re (.f64 re #s(literal -1/720 binary64))))))))
(* -1/720 (pow re 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (*.f64 re re)))))
(* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 re re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (*.f64 re re)))))))
(* -1/720 (pow re 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (*.f64 re re)))))
(* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 re re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (*.f64 re re)))))))
(* -1/2 (pow re 2))
(.f64 re (.f64 re #s(literal -1/2 binary64)))
(* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))
(.f64 re (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 re (.f64 re #s(literal 1/24 binary64))))))
(* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))
(.f64 (.f64 re re) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 re (.f64 re #s(literal -1/720 binary64)))))))
(* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))
(.f64 (.f64 re re) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 re (.f64 re #s(literal -1/720 binary64)))))))
(* -1/720 (pow re 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (*.f64 re re)))))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (*.f64 re re)))))
(* -1/720 (pow re 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 re re))))
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(* (pow im 4) (+ (* -1/8 (/ (pow re 6) (* (pow im 4) (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1))))))) (+ (* 1/24 (/ (- 1 (* 1/4 (pow re 4))) (- 1 (* -1/2 (pow re 2))))) (+ (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (* (pow im 2) (- 1 (* -1/2 (pow re 2)))))) (/ 1 (* (pow im 4) (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1))))))))))
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(* 1/24 (/ (* (pow im 4) (- 1 (* 1/4 (pow re 4)))) (- 1 (* -1/2 (pow re 2)))))
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(* (pow im 4) (+ (* 1/24 (/ (- 1 (* 1/4 (pow re 4))) (- 1 (* -1/2 (pow re 2))))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (* (pow im 2) (- 1 (* -1/2 (pow re 2))))))))
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(* (pow im 4) (+ (* -1/8 (/ (pow re 6) (* (pow im 4) (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1))))))) (+ (* 1/24 (/ (- 1 (* 1/4 (pow re 4))) (- 1 (* -1/2 (pow re 2))))) (+ (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (* (pow im 2) (- 1 (* -1/2 (pow re 2)))))) (/ 1 (* (pow im 4) (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1))))))))))
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(* (pow im 4) (+ (* -1/8 (/ (pow re 6) (* (pow im 4) (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1))))))) (+ (* 1/24 (/ (- 1 (* 1/4 (pow re 4))) (- 1 (* -1/2 (pow re 2))))) (+ (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (* (pow im 2) (- 1 (* -1/2 (pow re 2)))))) (/ 1 (* (pow im 4) (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1))))))))))
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(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
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(+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ 1/2 (+ (* 1/2 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 4) (- (+ (* -1/8 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (* (pow re 2) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))) 1/8)))))))
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(* (pow re 8) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))
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(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
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(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (/ 1/2 (pow re 6))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
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(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (+ (/ 1/2 (pow re 6)) (+ (/ 1 (pow re 8)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 8))))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
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(* (pow re 8) (- (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) 1/16))
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(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
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(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (/ 1/2 (pow re 6))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
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(* (pow re 8) (- (+ (* -1/8 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 2))) (+ (* -1/16 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (+ (* 1/2 (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 6))) (+ (/ 1/2 (pow re 6)) (+ (/ 1 (pow re 8)) (/ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (pow re 8))))))) (+ 1/16 (* 1/8 (/ 1 (pow re 2))))))
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(* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2))))
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(+ (* 1/2 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2)))))
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(+ (* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2)))) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))))
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(+ (* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2)))) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))))) (* 1/2 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))))
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(* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
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(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
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(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (+ (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2))) (/ (* (+ 1 (* -1/8 (pow re 6))) (- 1 (* -1/2 (pow re 2)))) (pow im 4)))))
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(* -1/16 (* (pow im 2) (* (pow re 8) (+ 1/2 (* 1/24 (pow im 2))))))
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(* 1/2 (* (pow im 2) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
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(* 1/24 (* (pow im 4) (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))))
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(* (pow im 4) (+ (* 1/24 (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (/ (* (+ 1 (* -1/2 (* (pow re 2) (- (* -1/2 (pow re 2)) 1)))) (- 1 (* 1/4 (pow re 4)))) (pow im 2)))))
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(.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 re re) (.f64 re re)))))
(* 1/2 (* (pow im 2) (- 1 (* 1/4 (pow re 4)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (*.f64 re re)))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))
(.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))
(.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(* (pow im 2) (+ (* 1/24 (* (pow im 2) (- 1 (* 1/4 (pow re 4))))) (* 1/2 (- 1 (* 1/4 (pow re 4))))))
(.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(* 1/24 (* (pow im 4) (- 1 (* 1/4 (pow re 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* 1/24 (* (pow im 4) (- 1 (* 1/4 (pow re 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* (pow im 4) (+ (* 1/24 (- 1 (* 1/4 (pow re 4)))) (* 1/2 (/ (- 1 (* 1/4 (pow re 4))) (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im 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))

eval289.0ms (2.4%)

Compiler: Compiled 62518 to 2408 computations (96.1% saved)

prune179.0ms (1.5%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1080	14	1094
Fresh	6	17	23
Picked	4	1	5
Done	0	4	4
Total	1090	36	1126

Accuracy

100.0%

Counts

1126 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
	33.0%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
	38.4%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
	24.1%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
	50.6%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
	51.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
	51.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	23.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
	62.8%	(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
	58.0%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
	18.2%	(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
	22.2%	(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
	30.3%	(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
	46.6%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
	38.0%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
	23.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
	40.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
	41.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
	37.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
	62.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
	60.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
✓	52.4%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
	53.9%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	93.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))) (cos.f64 re))
	79.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
	27.4%	(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
	51.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
✓	90.6%	(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
	35.9%	(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
	57.3%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im)))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
	20.4%	(.f64 #s(literal 1/2 binary64) (.f64 im im))
✓	57.5%	(cos.f64 re)
✓	35.2%	#s(literal 1 binary64)

Compiler

Compiled 3038 to 877 computations (71.1% saved)

regimes145.0ms (1.2%)

Counts

64 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im im)) im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) im) (.f64 im #s(literal 1/720 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) (-.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (cos.f64 re) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(.f64 (cos.f64 re) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.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)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 re) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 2 binary64)) (.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 im))))) (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64)))))

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

Calls

6 calls:

46.0ms	im
18.0ms	re
17.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
16.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
16.0ms	(cos.f64 re)

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)

regimes112.0ms (0.9%)

Counts

59 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im im)) im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) im) (.f64 im #s(literal 1/720 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) (-.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (cos.f64 re) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(.f64 (cos.f64 re) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.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 (cosh.f64 im) (cos.f64 re))

Calls

6 calls:

22.0ms	re
17.0ms	(cos.f64 re)
16.0ms	im
16.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
15.0ms	(.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)

regimes101.0ms (0.8%)

Counts

56 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im im)) im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) im) (.f64 im #s(literal 1/720 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) (-.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (cos.f64 re) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(.f64 (cos.f64 re) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))

Outputs

(*.f64 (cos.f64 re) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal 1/720 binary64)))) (*.f64 im (*.f64 im (*.f64 im im))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal 1/720 binary64)))) (*.f64 im (*.f64 im (*.f64 im im)))))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal 1/720 binary64)))) (*.f64 im (*.f64 im (*.f64 im im))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))))

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

Calls

4 calls:

27.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
26.0ms	im
15.0ms	re
14.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
93.6%	1	`re`
97.7%	2	`im`
93.6%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
93.6%	1	`(cos.f64 re)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes30.0ms (0.3%)

Counts

55 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im im)) im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) im) (.f64 im #s(literal 1/720 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) (-.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (cos.f64 re) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))

Outputs

(*.f64 (cos.f64 re) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1/518400 binary64))) (*.f64 im (*.f64 im (*.f64 im im)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im))))))

(*.f64 (cos.f64 re) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))

Calls

1 calls:

16.0ms

im

Results

Accuracy	Segments	Branch
95.8%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts

54 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im im)) im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) im) (.f64 im #s(literal 1/720 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) (-.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))

Outputs

(*.f64 (cos.f64 re) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/373248000 binary64)))) (*.f64 im (*.f64 im (*.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal 1/720 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))))

(*.f64 (cos.f64 re) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))

Calls

1 calls:

16.0ms

im

Results

Accuracy	Segments	Branch
95.4%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

53 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (.f64 im im)) im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) im) (.f64 im #s(literal 1/720 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))

Outputs

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

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

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

Calls

1 calls:

16.0ms

im

Results

Accuracy	Segments	Branch
96.9%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes62.0ms (0.5%)

Counts

44 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 re)) (+.f64 (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64))))))

Outputs

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

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

(*.f64 (cos.f64 re) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))

Calls

4 calls:

14.0ms	(cos.f64 re)
13.0ms	im
13.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
12.0ms	re

Results

Accuracy	Segments	Branch
90.6%	1	`re`
90.6%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
90.6%	1	`(cos.f64 re)`
96.1%	3	`im`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes114.0ms (0.9%)

Counts

41 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/8 binary64))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (+.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))

Outputs

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

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

(*.f64 (cos.f64 re) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))

Calls

1 calls:

11.0ms

im

Results

Accuracy	Segments	Branch
96.0%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes64.0ms (0.5%)

Counts

39 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (*.f64 im im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))) (cos.f64 re))

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

Calls

4 calls:

19.0ms	(cos.f64 re)
13.0ms	re
11.0ms	im
10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
85.1%	2	`re`
85.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
85.1%	2	`(cos.f64 re)`
93.2%	4	`im`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes24.0ms (0.2%)

Counts

37 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(cos.f64 re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))

Outputs

(cos.f64 re)

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

(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal 1/720 binary64))))))))

Calls

1 calls:

10.0ms

im

Results

Accuracy	Segments	Branch
88.8%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts

35 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/373248000 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 im im) #s(literal -1/8 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))

Outputs

(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))

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

(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal 1/720 binary64))))))))

Calls

2 calls:

11.0ms	im
10.0ms	re

Results

Accuracy	Segments	Branch
62.8%	1	`re`
66.9%	3	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 re re)))))) #s(literal -1/2 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 im (.f64 (.f64 im (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im))))))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/48 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 re re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) (-.f64 (.f64 re (.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal -1/2 binary64)))))) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (.f64 re re)))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
62.8%	1	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) #s(literal -1/48 binary64))) (.f64 (.f64 im im) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re (.f64 re #s(literal -1/720 binary64))))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))

Calls

2 calls:

7.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
60.9%	1	`re`
60.9%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
52.4%	1	`re`
52.4%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))

Outputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 im im))

Calls

2 calls:

2.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
39.3%	2	`re`
52.3%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
35.2%	1	`re`
35.2%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.591514131150067e+48	4.7954506320284405e+53

Results

13.0ms

128×

valid

Compiler

Compiled 818 to 334 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (38.4% of total)

ival-mult: 2.0ms (25.6% of total)

ival-exp: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

ival-neg: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	2.818626047258299e+74	5.3506552709675034e+82

Results

5.0ms

48×

valid

Compiler

Compiled 270 to 131 computations (51.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 1.0ms (34.2% of total)

ival-mult: 1.0ms (34.2% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	2.818626047258299e+74	5.3506552709675034e+82

Results

4.0ms

48×

valid

Compiler

Compiled 222 to 128 computations (42.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 1.0ms (36.9% of total)

ival-mult: 1.0ms (36.9% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch85.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	4.3558224306159335e+46	9.591514131150067e+48
20.0ms	23.122554423586358	16265218357.088688

Results

71.0ms

256×

valid

Compiler

Compiled 1122 to 654 computations (41.7% saved)

Precisions

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

ival-mult: 50.0ms (80.2% of total)

ival-cos: 6.0ms (9.6% of total)

ival-exp: 4.0ms (6.4% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.818626047258299e+74	5.3506552709675034e+82
20.0ms	23.122554423586358	16265218357.088688

Results

27.0ms

288×

valid

Compiler

Compiled 1116 to 653 computations (41.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 6.0ms (33.8% of total)

ival-exp: 4.0ms (22.6% of total)

ival-mult: 4.0ms (22.6% of total)

ival-add: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.818626047258299e+74	5.3506552709675034e+82
22.0ms	23.122554423586358	16265218357.088688

Results

30.0ms

288×

valid

Compiler

Compiled 1062 to 626 computations (41.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 7.0ms (33.1% of total)

ival-cos: 6.0ms (28.4% of total)

ival-mult: 4.0ms (18.9% of total)

ival-add: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.0144552948185583e+154	1.767603843754324e+156
18.0ms	3.2246893450051063e+59	9.238058105881525e+61
20.0ms	23.122554423586358	16265218357.088688

Results

31.0ms

304×

valid

Compiler

Compiled 1129 to 682 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 6.0ms (29.7% of total)

ival-mult: 6.0ms (29.7% of total)

ival-exp: 4.0ms (19.8% of total)

ival-add: 2.0ms (9.9% of total)

ival-neg: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	3.2246893450051063e+59	9.238058105881525e+61
14.0ms	0.00011156957230180637	0.0016207447738846089

Results

39.0ms

224×

valid

Compiler

Compiled 840 to 494 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 20.0ms (61.7% of total)

ival-cos: 5.0ms (15.4% of total)

ival-mult: 5.0ms (15.4% of total)

ival-add: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.2246893450051063e+59	9.238058105881525e+61
12.0ms	0.00011156957230180637	0.0016207447738846089

Results

24.0ms

224×

valid

Compiler

Compiled 870 to 518 computations (40.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 5.0ms (28.1% of total)

ival-cos: 5.0ms (28.1% of total)

ival-exp: 3.0ms (16.8% of total)

ival-mult: 3.0ms (16.8% of total)

ival-neg: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	23.122554423586358	16265218357.088688

Results

13.0ms

144×

valid

Compiler

Compiled 126 to 104 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 3.0ms (32% of total)

ival-cos: 3.0ms (32% of total)

ival-mult: 2.0ms (21.3% of total)

ival-add: 1.0ms (10.7% of total)

ival-neg: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

124×	`*-commutative_binary64`
84×	`+-commutative_binary64`
60×	`neg-mul-1_binary64`
56×	`unsub-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	771
1	232	771
2	274	771
3	309	771
4	362	771
5	440	771
6	448	771

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(if (<=.f64 im #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (.f64 (cos.f64 re) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (.f64 #s(literal 1/2 binary64) (.f64 im im))))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))))))
(if (<=.f64 im #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (.f64 (cos.f64 re) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 im im)))))) (.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(if (<=.f64 im #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (.f64 (cos.f64 re) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) (-.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))) (.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(if (<=.f64 im #s(literal 470 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))))))) (if (<=.f64 im #s(literal 9499999999999999686368763196763739606922406395904 binary64)) (+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re))) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))))))))))
(if (<=.f64 im #s(literal 480 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))) #s(literal 1 binary64))) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re))) (.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
(if (<=.f64 im #s(literal 480 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re))) (.f64 (cos.f64 re) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
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(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(if (<=.f64 im #s(literal 24 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
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(if (<=.f64 im #s(literal 7378697629483821/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 399999999999999988675152198241856803399745313464708631625728 binary64)) (+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))) (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im im)))))))
(if (<=.f64 im #s(literal 7378697629483821/4611686018427387904 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 1360000000000000023937604029908057927859145229195421564272640 binary64)) (+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im))) re))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))))
(if (<=.f64 im #s(literal 7378697629483821/4611686018427387904 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (if (<=.f64 im #s(literal 1360000000000000023937604029908057927859145229195421564272640 binary64)) (+.f64 (.f64 (.f64 re re) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im))))))) (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 re (/.f64 (/.f64 (.f64 re re) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 1/24 binary64))))) (.f64 im im)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im im)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(if (<=.f64 im #s(literal 24 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
#s(literal 1 binary64)

soundness2.8s (23.3%)

Rules

7186×	`+-lowering-+.f64`
7186×	`+-lowering-+.f32`
4956×	`-lowering-.f32`
4956×	`-lowering-.f64`
4854×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	358
1	392	317
2	3804	310
0	8267	310
0	10	25
1	40	21
2	304	19
0	2863	19
0	422	8568
1	1486	6914
2	6335	6660
0	8161	6660
0	389	4784
1	1413	3952
2	5614	3805
0	8476	3805
0	809	12322
1	2949	11176
0	8823	11176
0	39	293
1	264	220
2	2637	210
0	9205	210
0	108	591
1	336	512
2	1275	506
3	4508	489
0	8788	489

Stop Event

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

Compiler

Compiled 1490 to 639 computations (57.1% saved)

preprocess105.0ms (0.9%)

Remove: (abs re)
Compiler: Compiled 1884 to 458 computations (75.7% saved)

Iter	Nodes	Cost
0	10	33
1	27	33
2	72	33
3	124	33
4	159	33
5	193	33
6	226	33
7	240	33
8	242	33
9	247	33
10	247	33
0	247	33

Iter	Nodes	Cost
0	10	33
1	27	33
2	72	33
3	124	33
4	159	33
5	193	33
6	226	33
7	240	33
8	242	33
9	247	33
10	247	33
0	247	33

analyze0.0ms (0%)

sample1.5s (12.8%)

preprocess113.0ms (0.9%)

explain136.0ms (1.1%)

eval0.0ms (0%)

prune8.0ms (0.1%)

simplify13.0ms (0.1%)

localize43.0ms (0.4%)

series8.0ms (0.1%)

rewrite156.0ms (1.3%)

simplify286.0ms (2.4%)

eval22.0ms (0.2%)

prune25.0ms (0.2%)

simplify356.0ms (3%)

localize396.0ms (3.3%)

series170.0ms (1.4%)

rewrite449.0ms (3.7%)

simplify386.0ms (3.2%)

eval248.0ms (2.1%)

prune201.0ms (1.7%)

simplify197.0ms (1.6%)

localize205.0ms (1.7%)

series25.0ms (0.2%)

rewrite353.0ms (2.9%)

simplify282.0ms (2.3%)

eval332.0ms (2.8%)

prune166.0ms (1.4%)

simplify264.0ms (2.2%)

localize349.0ms (2.9%)

series57.0ms (0.5%)

rewrite371.0ms (3.1%)

simplify346.0ms (2.9%)

eval289.0ms (2.4%)

prune179.0ms (1.5%)

regimes145.0ms (1.2%)

regimes112.0ms (0.9%)

regimes101.0ms (0.8%)

regimes30.0ms (0.3%)

regimes34.0ms (0.3%)

regimes26.0ms (0.2%)

regimes62.0ms (0.5%)

regimes114.0ms (0.9%)

regimes64.0ms (0.5%)

regimes24.0ms (0.2%)

regimes27.0ms (0.2%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch20.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch85.0ms (0.7%)

bsearch51.0ms (0.4%)

bsearch45.0ms (0.4%)

bsearch46.0ms (0.4%)

bsearch50.0ms (0.4%)

bsearch36.0ms (0.3%)

bsearch22.0ms (0.2%)

simplify27.0ms (0.2%)

soundness2.8s (23.3%)

preprocess105.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	33
1	27	33
2	72	33
3	124	33
4	159	33
5	193	33
6	226	33
7	240	33
8	242	33
9	247	33
10	247	33
0	247	33