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)

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

sample1.4s (30.2%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 849.0ms

ival-mult: 382.0ms (45% of total)

ival-cos: 214.0ms (25.2% of total)

ival-exp: 145.0ms (17.1% of total)

ival-add: 47.0ms (5.5% of total)

ival-neg: 45.0ms (5.3% of total)

const: 11.0ms (1.3% of total)

backward-pass: 4.0ms (0.5% of total)

Bogosity

preprocess136.0ms (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)

explain104.0ms (2.2%)

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	(2.9210715183529425e+183 243.02811610941674)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

67.0ms

512×

256

valid

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 13.0ms (36.2% of total)

ival-mult: 11.0ms (30.6% of total)

ival-exp: 6.0ms (16.7% of total)

ival-add: 3.0ms (8.3% of total)

ival-neg: 2.0ms (5.6% of total)

const: 1.0ms (2.8% 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)

localize46.0ms (1%)

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×

256

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

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

ival-mult: 7.0ms (35.4% of total)

ival-cos: 6.0ms (30.3% of total)

ival-exp: 3.0ms (15.2% of total)

ival-add: 1.0ms (5.1% of total)

const: 1.0ms (5.1% of total)

ival-neg: 1.0ms (5.1% of total)

series7.0ms (0.2%)

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
2.0ms	im	@	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	re	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite149.0ms (3.2%)

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)))

simplify58.0ms (1.2%)

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))

eval13.0ms (0.3%)

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

prune17.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Accuracy

100.0%

Counts

69 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶	77.8%	(.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)))
▶	11.0%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	62.5%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	51.6%	(cos.f64 re)
▶	26.6%	#s(literal 1 binary64)
▶	2.4%	#s(literal 0 binary64)

Compiler

Compiled 105 to 88 computations (16.2% saved)

localize74.0ms (1.6%)

Localize:

Found 1 expressions with local error:

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

Results

55.0ms

256×

256

valid

Compiler

Compiled 48 to 31 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 11.0ms (33% of total)

ival-pow: 11.0ms (33% of total)

ival-cos: 6.0ms (18% of total)

ival-add: 3.0ms (9% of total)

const: 2.0ms (6% of total)

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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

6 calls:

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

rewrite87.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log1p-expm1-u`
668×	`expm1-log1p-u`
640×	`unpow-prod-down`
366×	`log-prod`
235×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	167	31
2	1931	31

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs
(+.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) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(/.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 (*.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 im #s(literal 6 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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (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) (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) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (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 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 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)))
(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 (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 (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 (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 (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 (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)))

simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-r`
460×	`fma-define`
431×	`times-frac`
419×	`associate-l`
327×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	2382
1	298	2340
2	878	2294
3	4211	2275
4	5874	2275

Stop Event

1×	node limit

Counts

63 → 72

Calls

Call 1

Inputs
(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)))))
(.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 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(/.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 (*.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 im #s(literal 6 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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (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) (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) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (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 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 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)))
(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 (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 (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 (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 (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 (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)))

Outputs
(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 #s(literal 1/2 binary64) (.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 (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 #s(literal 1/2 binary64) (.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 (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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 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 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #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 -1/2 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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #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) (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 1/2 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)))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 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)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/24 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 #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (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)) #s(literal 1/24 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 (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 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64)))))))
(+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.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)) (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) (pow.f64 im #s(literal 2 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)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) #s(literal 1 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) (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 binary64) (.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)))
(.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) (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 binary64) (.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)))
(.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) (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 binary64) (.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)))
(.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) (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 binary64) (.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)))
(+.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)))
(+.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)))
(+.f64 #s(literal 0 binary64) (*.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) (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 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.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)))
(+.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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 re)))))
(+.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 #s(literal 2 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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #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 (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 (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 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 re) (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 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 (cos.f64 re) (/.f64 (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 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 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 (fma.f64 (pow.f64 im #s(literal 6 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 (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 (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 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 re) (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 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) (/.f64 (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 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (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)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)) #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 (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) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (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 (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) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.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) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.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) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))) #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 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (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)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #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)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re)))) #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 #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 (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) (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)))

eval21.0ms (0.4%)

Compiler: Compiled 1214 to 891 computations (26.6% saved)

prune16.0ms (0.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	71	9	80

Accuracy

100.0%

Counts

80 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	77.8%	(.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)))
▶	29.5%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	11.0%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	62.5%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	51.6%	(cos.f64 re)
✓	26.6%	#s(literal 1 binary64)
✓	2.4%	#s(literal 0 binary64)

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize102.0ms (2.2%)

Localize:

Found 1 expressions with local error:

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

Results

75.0ms

256×

256

valid

Compiler

Compiled 67 to 39 computations (41.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-pow: 15.0ms (36.5% of total)

ival-mult: 10.0ms (24.3% of total)

ival-cos: 6.0ms (14.6% of total)

ival-exp: 4.0ms (9.7% of total)

ival-add: 3.0ms (7.3% of total)

const: 2.0ms (4.9% of total)

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

series5.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite83.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`unpow-prod-down`
506×	`log1p-expm1-u`
506×	`expm1-log1p-u`
445×	`pow1`
317×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	130	29
2	1454	29

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(sqrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 im (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))

simplify106.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-neg`
679×	`fma-define`
591×	`associate-r`
564×	`div-sub`
513×	`distribute-lft-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	1687
1	179	1687
2	436	1647
3	1215	1616
4	3340	1605
5	4935	1605
6	6938	1605

Stop Event

1×	node limit

Counts

45 → 48

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #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 -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (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 -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(sqrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 im (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (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) (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))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (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 -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 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)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #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 (pow.f64 im #s(literal 2 binary64)) (+.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) (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))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #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 -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 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 1/48 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 1/48 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)))) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.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 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (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 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (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)))
(pow.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 6 binary64)))
(pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (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)))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(pow.f64 (E.f64) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))))) (sqrt.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))))
(sqrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (pow.f64 im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (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)))
(cbrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 im (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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)))

eval13.0ms (0.3%)

Compiler: Compiled 762 to 569 computations (25.3% saved)

prune10.0ms (0.2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	46	11	57

Accuracy

100.0%

Counts

57 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	25.1%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	77.8%	(.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)))
✓	29.5%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	11.0%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	20.5%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	62.5%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	51.6%	(cos.f64 re)
✓	26.6%	#s(literal 1 binary64)
✓	2.4%	#s(literal 0 binary64)

Compiler

Compiled 90 to 75 computations (16.7% saved)

localize82.0ms (1.8%)

Localize:

Found 2 expressions with local error:

New

Accuracy

Program

✓

100.0%

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

✓

87.2%

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

Results

62.0ms

256×

256

valid

Compiler

Compiled 48 to 37 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow: 24.0ms (64.8% of total)

ival-mult: 8.0ms (21.6% of total)

ival-add: 3.0ms (8.1% of total)

const: 2.0ms (5.4% of total)

series5.0ms (0.1%)

Counts

2 → 21

Calls

Call 1

Inputs

#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))>

#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>

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

Calls

9 calls:

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

rewrite102.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`log1p-expm1-u`
739×	`expm1-log1p-u`
700×	`unpow-prod-down`
394×	`log-prod`
293×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	171	51
2	2160	51

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs

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

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

Outputs
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 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 4 binary64)) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) re #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))

simplify133.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-neg`
496×	`fma-define`
439×	`*-commutative`
372×	`exp-prod`
362×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	319	5523
1	668	5405
2	1908	5209
3	6261	4936

Stop Event

1×	node limit

Counts

141 → 165

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#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 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 im (.f64 im #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 im (.f64 im (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) im) (.f64 (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im (.f64 re (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 im (.f64 re (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) im (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 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 4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 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 4 binary64)) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) re #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#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 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)))) (+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
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(.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))))))
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(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) re #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64))

eval54.0ms (1.2%)

Compiler: Compiled 3175 to 2615 computations (17.6% saved)

prune48.0ms (1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	165	11	176

Accuracy

100.0%

Counts

176 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	12.6%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
✓	77.8%	(.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)))
✓	29.5%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	11.0%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	20.5%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	62.5%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	51.6%	(cos.f64 re)
✓	26.6%	#s(literal 1 binary64)
✓	2.4%	#s(literal 0 binary64)

Compiler

Compiled 173 to 132 computations (23.7% saved)

regimes22.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	im
4.0ms	re
4.0ms	(cos.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
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)

regimes13.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	im
4.0ms	re
3.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
98.5%	38	`re`
98.5%	15	`im`
91.9%	2	`(cos.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.3%)

Counts

10 → 15

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	im
3.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
98.2%	15	`im`
85.1%	22	`(cos.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Counts

9 → 15

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

im

Results

Accuracy	Segments	Branch
96.0%	15	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.2%)

Counts

8 → 22

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	im
3.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
85.1%	22	`(cos.f64 re)`
87.6%	48	`im`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(cos.f64 re)

Results

Accuracy	Segments	Branch
63.5%	2	`(cos.f64 re)`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(cos.f64 re)

Calls

1 calls:

2.0ms

(cos.f64 re)

Results

Accuracy	Segments	Branch
51.6%	1	`(cos.f64 re)`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

re

Results

Accuracy	Segments	Branch
26.6%	1	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

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:

0.0ms	re
0.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch2.0ms (0.1%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999816967353466	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch322.0ms (6.9%)

Algorithm

14×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.843599392911052e+153	4.435842841723378e+154
17.0ms	6.216744999002181e+151	2.843599392911052e+153
15.0ms	2.8225069911001243e+145	3.853586248491223e+146
4.0ms	1.0561035089903686e+144	1.225156617702371e+144
19.0ms	1.3029298981941828e+142	1.0561035089903686e+144
14.0ms	7.306874327561263e+130	5.753365834882552e+132
16.0ms	4.7156313244539443e+129	7.306874327561263e+130
96.0ms	8.516032327863224e+79	1.8601575170532298e+81
16.0ms	1.7065928738216348e+75	8.516032327863224e+79
19.0ms	9.70554664072319e+34	2.2496922965426395e+38
23.0ms	4.99267799227644e+33	9.70554664072319e+34
14.0ms	7740357353419233000.0	5.7230137830739634e+20
17.0ms	12195108394227882.0	2351192280204508000.0
15.0ms	243.02811610941674	55468.92421252194

Results

232.0ms

1472×

valid

Compiler

Compiled 2079 to 1714 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-cos: 43.0ms (43.6% of total)

ival-mult: 22.0ms (22.3% of total)

ival-exp: 17.0ms (17.2% of total)

ival-add: 8.0ms (8.1% of total)

ival-neg: 7.0ms (7.1% of total)

const: 2.0ms (2% of total)

backward-pass: 1.0ms (1% of total)

bsearch326.0ms (7%)

Algorithm

14×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.843599392911052e+153	4.435842841723378e+154
14.0ms	6.216744999002181e+151	2.843599392911052e+153
15.0ms	2.8225069911001243e+145	3.853586248491223e+146
4.0ms	1.0561035089903686e+144	1.225156617702371e+144
14.0ms	1.3029298981941828e+142	1.0561035089903686e+144
24.0ms	7.306874327561263e+130	5.753365834882552e+132
12.0ms	4.7156313244539443e+129	7.306874327561263e+130
61.0ms	8.516032327863224e+79	1.8601575170532298e+81
16.0ms	1.7065928738216348e+75	8.516032327863224e+79
34.0ms	9.70554664072319e+34	2.2496922965426395e+38
14.0ms	4.99267799227644e+33	9.70554664072319e+34
13.0ms	7740357353419233000.0	5.7230137830739634e+20
14.0ms	12195108394227882.0	2351192280204508000.0
22.0ms	243.02811610941674	55468.92421252194

Results

197.0ms

1472×

valid

Compiler

Compiled 2000 to 1635 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 79.0ms (50.8% of total)

ival-cos: 43.0ms (27.7% of total)

ival-exp: 17.0ms (10.9% of total)

ival-add: 8.0ms (5.1% of total)

ival-neg: 7.0ms (4.5% of total)

const: 2.0ms (1.3% of total)

backward-pass: 1.0ms (0.6% of total)

bsearch64.0ms (1.4%)

Algorithm

21×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999816967353466	1.0
0.0ms	0.999032146609487	0.9999816967353466
0.0ms	0.998838308384059	0.999032146609487
0.0ms	0.9822815043817573	0.992825874408159
0.0ms	0.9667082158042892	0.9701253840914751
0.0ms	0.9646913366536882	0.9667082158042892
0.0ms	0.9577721999331551	0.9646913366536882
0.0ms	0.9412201468324567	0.9437644666300983
0.0ms	0.9215929100722532	0.9412201468324567
0.0ms	0.9124964698528193	0.9215929100722532
0.0ms	0.9111110263378537	0.9124964698528193
0.0ms	0.9079306395026983	0.9111110263378537
0.0ms	0.8824160153773554	0.9079306395026983
58.0ms	0.8376515702714665	0.8824160153773554
0.0ms	0.8253944145906568	0.828254011021764
0.0ms	0.8011746301442084	0.8253944145906568
0.0ms	0.7619444317133688	0.7660662048040194
0.0ms	0.7273302159123005	0.7377185307119333
2.0ms	0.6937816644472061	0.7273302159123005
2.0ms	0.6489102455635994	0.6937816644472061
0.0ms	0.4902499439533163	0.5016682564821173

Results

3.0ms

48×

valid

Compiler

Compiled 60 to 48 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (55% of total)

ival-mult: 1.0ms (55% of total)

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

const: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.998838308384059	0.999032146609487

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify122.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

60×	`if-not`
44×	`not-or`
42×	`not-not`
24×	`if-if-or-not`
20×	`not-and`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	154	2084
1	176	2060
2	181	2038
3	188	2010
4	195	1988
5	205	1960
6	215	1938
7	227	1910
8	239	1888
9	251	1860
10	262	1838
11	274	1810
12	286	1810
13	295	1806
14	301	1806
15	304	1806
16	306	1806

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 (cos.f64 re) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(if (<=.f64 im #s(literal 250 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 2300000000000000000 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 7800000000000000000 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 94999999999999998864872209893031936 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 99999999999999996863366107917975552 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 84999999999999998048012916216664934470829021935200081754129142075170459060535296 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 86000000000000006078341254591234092952452656826882554160861486141575089790910464 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 72000000000000002334281323895992332718642884809653562848914824864646125683993472529149945880818999534095597599913347457502968545280 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 899999999999999934724961181510530459842348880574448236337459884308945712510331621104443996468674244717211181466094288924738729309039453760651264 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 1060000000000000007840972711915078806488088752604129972244141166891598080499044428080885112123888147777266689130998159931645949451311162536755200 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 379999999999999979217065084488660295347337533036749419298218135404662040143312325968728439811636204089426602651358779561845979169469833836434030592 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 63999999999999998773478155035991973796679680897940402757834547849862407181035429310483089191438153725612931857035264348196290069197337852686935905009664 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))))))))
(if (<=.f64 im #s(literal 250 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 2300000000000000000 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 7800000000000000000 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 94999999999999998864872209893031936 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 99999999999999996863366107917975552 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 84999999999999998048012916216664934470829021935200081754129142075170459060535296 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 86000000000000006078341254591234092952452656826882554160861486141575089790910464 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 72000000000000002334281323895992332718642884809653562848914824864646125683993472529149945880818999534095597599913347457502968545280 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 1049999999999999981609740005945928444366369196984433430652808935356615313980378154093128575163987098836213172213351214107845412556453775824388096 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 1060000000000000007840972711915078806488088752604129972244141166891598080499044428080885112123888147777266689130998159931645949451311162536755200 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 379999999999999979217065084488660295347337533036749419298218135404662040143312325968728439811636204089426602651358779561845979169469833836434030592 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 im #s(literal 63999999999999998773478155035991973796679680897940402757834547849862407181035429310483089191438153725612931857035264348196290069197337852686935905009664 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))))))))
(if (<=.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 3242591731706757/4503599627370496 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 1643813863990231/2251799813685248 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (if (<=.f64 (cos.f64 re) #s(literal 6890507429876859/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 7385903388887613/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 7439946584416059/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 7926335344172073/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 8106479329266893/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 8196551321814303/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 8214565720323785/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 8286623314361713/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 2116691824864133/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 4242390848983007/4503599627370496 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (if (<=.f64 (cos.f64 re) #s(literal 1080863910568919/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 8691947280825057/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 4368491638549381/4503599627370496 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 8998192055486251/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (if (<=.f64 (cos.f64 re) #s(literal 1 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))))))))))))))))))
(if (<=.f64 (cos.f64 re) #s(literal 8998192055486251/9007199254740992 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(cos.f64 re)
#s(literal 1 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 (cos.f64 re) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
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(if (<=.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 (cos.f64 re) #s(literal 3242591731706757/4503599627370496 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 1643813863990231/2251799813685248 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (if (<=.f64 (cos.f64 re) #s(literal 6890507429876859/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 7385903388887613/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 (cos.f64 re) #s(literal 7439946584416059/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 7926335344172073/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 (cos.f64 re) #s(literal 8106479329266893/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 8196551321814303/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 (cos.f64 re) #s(literal 8214565720323785/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 8286623314361713/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 (cos.f64 re) #s(literal 2116691824864133/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 4242390848983007/4503599627370496 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (if (<=.f64 (cos.f64 re) #s(literal 1080863910568919/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 8691947280825057/9007199254740992 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 (cos.f64 re) #s(literal 4368491638549381/4503599627370496 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 (cos.f64 re) #s(literal 8998192055486251/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 (cos.f64 re) #s(literal 4501347827556811/4503599627370496 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (if (<=.f64 (cos.f64 re) #s(literal 1 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))))))))))))))))
(if (<=.f64 (cos.f64 re) #s(literal 8998192055486251/9007199254740992 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness656.0ms (14%)

Rules

761×	`distribute-lft-in`
726×	`associate-+r+`
723×	`distribute-rgt-in`
710×	`fma-neg`
679×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1687
1	179	1687
2	436	1647
3	1215	1616
4	3340	1605
5	4935	1605
6	6938	1605
0	16	44
1	202	44
2	3306	44
0	319	5523
1	668	5405
2	1908	5209
3	6261	4936
0	135	2382
1	298	2340
2	878	2294
3	4211	2275
4	5874	2275
0	98	1761
1	288	1603
2	957	1418
3	3544	1359

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	unsound
1×	node limit

Compiler

Compiled 735 to 444 computations (39.6% saved)

preprocess117.0ms (2.5%)

Remove

(abs im)

(abs re)

Compiler

Compiled 1214 to 704 computations (42% saved)

analyze0.0ms (0%)

sample1.4s (30.2%)

preprocess136.0ms (2.9%)

explain104.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize46.0ms (1%)

series7.0ms (0.2%)

rewrite149.0ms (3.2%)

simplify58.0ms (1.2%)

eval13.0ms (0.3%)

prune17.0ms (0.4%)

localize74.0ms (1.6%)

series4.0ms (0.1%)

rewrite87.0ms (1.9%)

simplify103.0ms (2.2%)

eval21.0ms (0.4%)

prune16.0ms (0.3%)

localize102.0ms (2.2%)

series5.0ms (0.1%)

rewrite83.0ms (1.8%)

simplify106.0ms (2.3%)

eval13.0ms (0.3%)

prune10.0ms (0.2%)

localize82.0ms (1.8%)

series5.0ms (0.1%)

rewrite102.0ms (2.2%)

simplify133.0ms (2.9%)

eval54.0ms (1.2%)

prune48.0ms (1%)

regimes22.0ms (0.5%)

regimes13.0ms (0.3%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch2.0ms (0.1%)

bsearch322.0ms (6.9%)

bsearch326.0ms (7%)

bsearch64.0ms (1.4%)

bsearch0.0ms (0%)

simplify122.0ms (2.6%)

soundness656.0ms (14%)

preprocess117.0ms (2.5%)

end0.0ms (0%)

Profiling