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 (31.4%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 811.0ms

ival-cos: 257.0ms (31.7% of total)

ival-mult: 211.0ms (26% of total)

ival-add: 132.0ms (16.3% of total)

ival-neg: 99.0ms (12.2% of total)

ival-exp: 97.0ms (12% of total)

const: 11.0ms (1.4% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess137.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-define`
412×	`fma-neg`
102×	`times-frac`
96×	`associate-r`
87×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	316
1	100	308
2	280	308
3	673	298
4	1117	294
5	1661	294
6	2231	294
7	2749	294
8	2903	294
9	2917	294
10	2917	294
11	2917	294

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

explain109.0ms (2.3%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	-	-	`re`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`im`
0	-	-	`(cos.f64 re)`
0	-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(neg.f64 im)`
1	(1739.5280627184013 426.8987525686114)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

70.0ms

512×

valid

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-cos: 15.0ms (35.6% of total)

ival-mult: 12.0ms (28.5% of total)

ival-exp: 6.0ms (14.2% of total)

ival-add: 4.0ms (9.5% of total)

ival-neg: 4.0ms (9.5% of total)

const: 1.0ms (2.4% of total)

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

eval1.0ms (0%)

Compiler: Compiled 35 to 18 computations (48.6% saved)

prune1.0ms (0%)

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)

localize45.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Results

33.0ms

256×

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

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

ival-cos: 6.0ms (33.7% of total)

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

ival-exp: 3.0ms (16.9% of total)

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

const: 1.0ms (5.6% of total)

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

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

series57.0ms (1.2%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
2.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite199.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

100×	`associate-r`
90×	`add-exp-log`
90×	`add-log-exp`
90×	`log1p-expm1-u`
90×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	202	44
2	3306	44

Stop Event

1×

unsound

Counts

1 → 22

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

761×	`distribute-lft-in`
726×	`associate-+r+`
723×	`distribute-rgt-in`
428×	`fma-define`
334×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1761
1	288	1603
2	957	1418
3	3544	1359

Stop Event

1×	node limit

Counts

46 → 68

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (exp.f64 im) #s(literal 1/48 binary64) (/.f64 #s(literal 1/48 binary64) (exp.f64 im))) (pow.f64 re #s(literal 4 binary64))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/48 binary64)))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))))))
(fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (cos.f64 re) (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (cos.f64 re))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re) (.f64 (cos.f64 re) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(.f64 (cos.f64 re) (+.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 re) #s(literal -2 binary64) #s(literal 0 binary64))))
(.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 re) #s(literal -2 binary64) #s(literal 0 binary64))))
(.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (fabs.f64 (cos.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))

eval12.0ms (0.3%)

Compiler: Compiled 928 to 512 computations (44.8% saved)

prune126.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	9	69

Accuracy

100.0%

Counts

69 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶	79.5%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
▶	79.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	11.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	59.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	54.4%	(cos.f64 re)
	27.8%	#s(literal 1 binary64)
▶	2.4%	#s(literal 0 binary64)

Compiler

Compiled 131 to 106 computations (19.1% saved)

localize259.0ms (5.5%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	99.9%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
✓	99.7%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
✓	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	100.0%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
✓	99.9%	(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))

Results

216.0ms

256×

valid

Compiler

Compiled 87 to 52 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-add: 61.0ms (52.6% of total)

ival-pow: 26.0ms (22.4% of total)

ival-mult: 18.0ms (15.5% of total)

ival-cos: 7.0ms (6% of total)

const: 3.0ms (2.6% of total)

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

series116.0ms (2.4%)

Counts

6 → 53

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))>
#<alt (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))>
#<alt (pow.f64 im #s(literal 2 binary64))>

Outputs
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))>
#<alt (cos.f64 re)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt #s(literal 1/4 binary64)>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 17/180 binary64) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>

Calls

27 calls:

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

rewrite194.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`log1p-expm1-u`
763×	`expm1-log1p-u`
684×	`log-prod`
415×	`fma-define`
225×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	147
1	288	125
2	3706	125

Stop Event

1×	node limit

Counts

6 → 221

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 re)))
(.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (cos.f64 re)) (.f64 (sqrt.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
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(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 #s(literal -2 binary64) (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))) (neg.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re)))
(/.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (cos.f64 re)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (exp.f64 (cos.f64 re))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 re)) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 re))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (cos.f64 re)))) (*.f64 im (sqrt.f64 (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify149.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

695×	`distribute-lft-in`
654×	`times-frac`
589×	`distribute-rgt-in`
392×	`associate-+l+`
383×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	11709
1	1000	10723
2	3131	9904

Stop Event

1×	node limit

Counts

274 → 217

Calls

Call 1

Inputs
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
(cos.f64 re)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
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(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (exp.f64 (cos.f64 re))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 re)) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 re))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (cos.f64 re)))) (*.f64 im (sqrt.f64 (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))

Outputs
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64))))))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(cos.f64 re)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
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(pow.f64 im #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))

eval67.0ms (1.4%)

Compiler: Compiled 4169 to 2902 computations (30.4% saved)

prune39.0ms (0.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	235	5	240
Fresh	0	3	3
Picked	3	2	5
Done	0	1	1
Total	238	11	249

Accuracy

100.0%

Counts

249 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) (cos.f64 re))))
▶	44.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	12.8%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
	79.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	11.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	59.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	54.4%	(cos.f64 re)
	27.8%	#s(literal 1 binary64)
▶	8.1%	#s(literal 1/4 binary64)
✓	2.4%	#s(literal 0 binary64)

Compiler

Compiled 150 to 120 computations (20% saved)

localize98.0ms (2.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	100.0%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) (cos.f64 re))))
✓	99.9%	(.f64 (.f64 im im) (cos.f64 re))

Results

68.0ms

256×

valid

Compiler

Compiled 87 to 38 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 15.0ms (35.4% of total)

ival-pow: 9.0ms (21.2% of total)

ival-cos: 7.0ms (16.5% of total)

ival-exp: 4.0ms (9.4% of total)

ival-add: 4.0ms (9.4% of total)

const: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.4% of total)

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

series4.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite98.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`prod-diff`
767×	`log1p-expm1-u`
767×	`expm1-log1p-u`
424×	`log-prod`
276×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	160	58
2	2145	54

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (exp.f64 (cos.f64 re))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (.f64 (.f64 im (cos.f64 re)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 im (cos.f64 re)) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (cos.f64 re)))) (*.f64 im (sqrt.f64 (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (cos.f64 re))

simplify127.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-define`
734×	`fma-neg`
373×	`times-frac`
327×	`*-commutative`
282×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	5714
1	601	5245
2	1817	4952
3	6685	4952

Stop Event

1×	node limit

Counts

129 → 125

Calls

Call 1

Inputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 re))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (exp.f64 (cos.f64 re))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (.f64 (.f64 im (cos.f64 re)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 im (cos.f64 re)) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (cos.f64 re)))) (*.f64 im (sqrt.f64 (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (cos.f64 re))

Outputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 4 binary64))) (.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
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(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 im (.f64 (.f64 im (cos.f64 re)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 (.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 (.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 im (sqrt.f64 (cos.f64 re))) (.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 im (cos.f64 re)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (cos.f64 re)))) (*.f64 im (sqrt.f64 (cos.f64 re))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))

eval43.0ms (0.9%)

Compiler: Compiled 2625 to 1796 computations (31.6% saved)

prune25.0ms (0.5%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	0	3	3
Picked	1	4	5
Done	0	3	3
Total	147	12	159

Accuracy

100.0%

Counts

159 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 im (cos.f64 re)) (cos.f64 re))
✓	79.5%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) (cos.f64 re))))
▶	44.5%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
▶	12.8%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
▶	79.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	11.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	59.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	54.4%	(cos.f64 re)
▶	27.8%	#s(literal 1 binary64)
✓	8.1%	#s(literal 1/4 binary64)
✓	2.4%	#s(literal 0 binary64)

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize118.0ms (2.5%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

✓

99.9%

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

✓

99.9%

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

✓

99.7%

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

Results

84.0ms

256×

valid

Compiler

Compiled 93 to 48 computations (48.4% saved)

Precisions

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

ival-mult: 21.0ms (41.7% of total)

ival-pow: 10.0ms (19.9% of total)

ival-add: 7.0ms (13.9% of total)

ival-cos: 6.0ms (11.9% of total)

ival-fma: 3.0ms (6% of total)

const: 3.0ms (6% of total)

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

series10.0ms (0.2%)

Counts

3 → 52

Calls

Call 1

Inputs

#<alt (*.f64 im (cos.f64 re))>

#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 im (cos.f64 re)) (cos.f64 re))>

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

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

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	(* im (cos re))
0.0ms	im	@	0	(* im (cos re))
0.0ms	im	@	-inf	(* im (cos re))
0.0ms	re	@	-inf	(* im (cos re))
0.0ms	re	@	inf	(* im (cos re))

rewrite128.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log1p-expm1-u`
890×	`expm1-log1p-u`
519×	`log-prod`
411×	`prod-diff`
225×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	226	79
2	2753	79

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

Inputs

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

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

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))
(+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 re)))
(.f64 (sqrt.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (cos.f64 re)) (.f64 (sqrt.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 re)))
(.f64 (.f64 (cos.f64 re) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (cos.f64 re) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal 1/2 binary64))))) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (cos.f64 re)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (neg.f64 (cos.f64 re))))
(/.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (cos.f64 re)) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(log.f64 (.f64 (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))
(+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (cos.f64 re)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (neg.f64 (cos.f64 re))))
(/.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (cos.f64 re)) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(log.f64 (.f64 (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (cos.f64 re))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (.f64 im (cos.f64 re)) (.f64 im #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im (cos.f64 re)) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (cos.f64 re))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1 binary64) (cos.f64 re))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) (.f64 im (cos.f64 re))) (cos.f64 re))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (.f64 im (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))) (cbrt.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cos.f64 re))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (.f64 im (cos.f64 re)))) (.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (.f64 im (cos.f64 re)))) (cos.f64 re))
(fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (cos.f64 re)) im (cos.f64 re))
(fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 im (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (.f64 im (cos.f64 re))) (cos.f64 re))
(fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (.f64 im (cos.f64 re)))) (sqrt.f64 (.f64 im (cos.f64 re))) (cos.f64 re))

simplify144.0ms (3%)

Algorithm

1×	egg-herbie

Rules

489×	`fma-neg`
476×	`distribute-lft-in`
439×	`distribute-rgt-in`
393×	`*-commutative`
302×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	295	6373
1	687	6218
2	2185	6117
3	5909	6097

Stop Event

1×	node limit

Counts

175 → 144

Calls

Call 1

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

Outputs
im
(+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64)) im)
(fma.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (*.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (.f64 im #s(literal 1/24 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal -1/2 binary64))) im)
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) im)
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) im))))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 im #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/24 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 im #s(literal -1/2 binary64))) im)
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)))))) im)
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 im (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 (*.f64 im #s(literal -1/720 binary64)) (pow.f64 re #s(literal 4 binary64)))) im)
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64))))))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/720 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal 1/24 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
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(/.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 (cos.f64 re) (+.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(log.f64 (.f64 (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im (cos.f64 re)) (.f64 im #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im (cos.f64 re)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) (.f64 im (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (.f64 im (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))) (cbrt.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (.f64 im (cos.f64 re)))) (.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (.f64 im (cos.f64 re)))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (cos.f64 re)) im (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 im (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (.f64 im (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (.f64 im (cos.f64 re)))) (sqrt.f64 (.f64 im (cos.f64 re))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))

eval42.0ms (0.9%)

Compiler: Compiled 2651 to 1751 computations (33.9% saved)

prune26.0ms (0.6%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	144	12	156

Accuracy

100.0%

Counts

156 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.5%	(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 im (cos.f64 re)) (cos.f64 re))
✓	79.5%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) (cos.f64 re))))
✓	44.5%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
✓	12.8%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓	79.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	11.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	59.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	54.4%	(cos.f64 re)
✓	27.8%	#s(literal 1 binary64)
✓	8.1%	#s(literal 1/4 binary64)
✓	2.4%	#s(literal 0 binary64)

Compiler

Compiled 206 to 139 computations (32.5% saved)

regimes40.0ms (0.8%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 im (cos.f64 re)) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))

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

Calls

6 calls:

8.0ms	im
8.0ms	re
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(cos.f64 re)
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
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)

regimes21.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 im (cos.f64 re)) (cos.f64 re))

Outputs

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

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

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

Calls

3 calls:

7.0ms	im
7.0ms	re
6.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
88.9%	2	`re`
94.6%	3	`im`
89.6%	2	`(cos.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))

Outputs

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

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

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

Calls

1 calls:

6.0ms

im

Results

Accuracy	Segments	Branch
94.6%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))

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

Calls

3 calls:

17.0ms	(cos.f64 re)
6.0ms	re
5.0ms	im

Results

Accuracy	Segments	Branch
79.5%	1	`re`
79.5%	1	`(cos.f64 re)`
79.5%	1	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))

Outputs
(cos.f64 re)
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))

Calls

3 calls:

4.0ms	(cos.f64 re)
4.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
65.2%	2	`(cos.f64 re)`
65.2%	2	`re`
73.3%	3	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
70.6%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))

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

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
44.5%	1	`re`
44.5%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
27.8%	1	`im`
27.8%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)

Outputs
#s(literal 1/4 binary64)

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
8.1%	1	`im`
8.1%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
2.4%	1	`re`
2.4%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.0357182407843576e+151	3.554771956510378e+154
20.0ms	2.7335899040152646e-8	0.02200289069784482

Results

27.0ms

272×

valid

Compiler

Compiled 435 to 328 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-cos: 7.0ms (36.9% of total)

ival-exp: 5.0ms (26.4% of total)

ival-mult: 4.0ms (21.1% of total)

ival-add: 2.0ms (10.6% of total)

ival-neg: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.0357182407843576e+151	3.554771956510378e+154
20.0ms	2.7335899040152646e-8	0.02200289069784482

Results

26.0ms

272×

valid

Compiler

Compiled 426 to 337 computations (20.9% saved)

Precisions

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

ival-cos: 7.0ms (39.6% of total)

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

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

ival-add: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.713301425611016e+150	5.0357182407843576e+151
18.0ms	994472093855.1439	3889853740483651.5

Results

22.0ms

224×

valid

Compiler

Compiled 258 to 220 computations (14.7% saved)

Precisions

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

ival-cos: 8.0ms (49.8% of total)

ival-mult: 3.0ms (18.7% of total)

ival-exp: 2.0ms (12.4% of total)

ival-add: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.7335899040152646e-8	0.02200289069784482

Results

19.0ms

144×

valid

Compiler

Compiled 153 to 122 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (40.7% of total)

ival-exp: 2.0ms (20.3% of total)

ival-mult: 2.0ms (20.3% of total)

ival-add: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
5×	`+-commutative`
3×	`1-exp`
2×	`if-if-or-not`
1×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	472
1	78	472
2	80	472
3	81	472

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 5188146770730811/576460752303423488 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (cos.f64 re)))) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))))
(if (<=.f64 im #s(literal 8762203435012037/2305843009213693952 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
(if (<=.f64 im #s(literal 1000000000000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 33000000000000002456639251946762646323539143987019791174984221656187059899054739755934817346276472151081133522278961812779428893561133547813758247632896 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(if (<=.f64 im #s(literal 226981421219473/18014398509481984 binary64)) (cos.f64 re) (+.f64 #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)))
#s(literal 1 binary64)
#s(literal 1/4 binary64)
#s(literal 0 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 5188146770730811/576460752303423488 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (cos.f64 re)))) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))))
(if (<=.f64 im #s(literal 5188146770730811/576460752303423488 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im im)))) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)))))
(if (<=.f64 im #s(literal 8762203435012037/2305843009213693952 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))))
(if (or (<=.f64 im #s(literal 8762203435012037/2305843009213693952 binary64)) (not (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)))) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 1000000000000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 33000000000000002456639251946762646323539143987019791174984221656187059899054739755934817346276472151081133522278961812779428893561133547813758247632896 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(if (<=.f64 im #s(literal 1000000000000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 33000000000000002456639251946762646323539143987019791174984221656187059899054739755934817346276472151081133522278961812779428893561133547813758247632896 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))))
(if (<=.f64 im #s(literal 226981421219473/18014398509481984 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))
(if (<=.f64 im #s(literal 226981421219473/18014398509481984 binary64)) (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/4 binary64)
#s(literal 0 binary64)

soundness451.0ms (9.5%)

Rules

763×	`log1p-expm1-u`
763×	`expm1-log1p-u`
761×	`distribute-lft-in`
726×	`associate-+r+`
723×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	11709
1	1000	10723
2	3131	9904
0	16	44
1	202	44
2	3306	44
0	98	1761
1	288	1603
2	957	1418
3	3544	1359
0	22	147
1	288	125
2	3706	125

Stop Event

1×	done
1×	node limit
1×	node limit
1×	unsound
1×	node limit

Compiler

Compiled 260 to 163 computations (37.3% saved)

preprocess86.0ms (1.8%)

Remove

(abs im)

(abs re)

Compiler

Compiled 554 to 374 computations (32.5% saved)

analyze0.0ms (0%)

sample1.5s (31.4%)

preprocess137.0ms (2.9%)

explain109.0ms (2.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize45.0ms (0.9%)

series57.0ms (1.2%)

rewrite199.0ms (4.2%)

simplify61.0ms (1.3%)

eval12.0ms (0.3%)

prune126.0ms (2.7%)

localize259.0ms (5.5%)

series116.0ms (2.4%)

rewrite194.0ms (4.1%)

simplify149.0ms (3.1%)

eval67.0ms (1.4%)

prune39.0ms (0.8%)

localize98.0ms (2.1%)

series4.0ms (0.1%)

rewrite98.0ms (2.1%)

simplify127.0ms (2.7%)

eval43.0ms (0.9%)

prune25.0ms (0.5%)

localize118.0ms (2.5%)

series10.0ms (0.2%)

rewrite128.0ms (2.7%)

simplify144.0ms (3%)

eval42.0ms (0.9%)

prune26.0ms (0.6%)

regimes40.0ms (0.8%)

regimes21.0ms (0.4%)

regimes6.0ms (0.1%)

regimes29.0ms (0.6%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch41.0ms (0.9%)

bsearch40.0ms (0.8%)

bsearch33.0ms (0.7%)

bsearch26.0ms (0.5%)

simplify7.0ms (0.2%)

soundness451.0ms (9.5%)

preprocess86.0ms (1.8%)

end0.0ms (0%)

Profiling