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)

sample1.9s (27.2%)

Results

713.0ms	4197×	0	valid
809.0ms	4059×	0	infinite

Precisions

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

ival-mult: 301.0ms (28.9% of total)

ival-exp: 288.0ms (27.6% of total)

ival-cos: 248.0ms (23.8% of total)

ival-add: 144.0ms (13.8% of total)

ival-neg: 44.0ms (4.2% of total)

const: 12.0ms (1.2% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess136.0ms (2%)

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)

explain187.0ms (2.7%)

FPErrors

Click to see full error table

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

Results

61.0ms	274×	256	infinite
86.0ms	238×	256	valid

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-exp: 24.0ms (41.6% of total)

ival-cos: 15.0ms (26% of total)

ival-mult: 12.0ms (20.8% of total)

ival-add: 3.0ms (5.2% of total)

ival-neg: 3.0ms (5.2% of total)

const: 1.0ms (1.7% 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)

localize59.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Results

24.0ms	137×	256	infinite
19.0ms	119×	256	valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

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

ival-cos: 7.0ms (32.9% of total)

ival-mult: 6.0ms (28.2% of total)

ival-exp: 5.0ms (23.5% of total)

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

const: 1.0ms (4.7% of total)

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

series7.0ms (0.1%)

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	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite262.0ms (3.8%)

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)))

simplify56.0ms (0.8%)

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))

eval17.0ms (0.3%)

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

prune16.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Accuracy

100.0%

Counts

69 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶	77.0%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
▶	77.0%	(.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)))
	10.4%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	63.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	47.7%	(cos.f64 re)
	25.8%	#s(literal 1 binary64)
▶	2.3%	#s(literal 0 binary64)

Compiler

Compiled 131 to 106 computations (19.1% saved)

localize425.0ms (6.1%)

Localize:

Found 3 expressions with local error:

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

New

Accuracy

Program

✓

99.9%

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

✓

99.7%

(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))

✓

99.9%

(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))

Results

200.0ms	181×	256	valid
141.0ms	75×	256	infinite

Compiler

Compiled 87 to 52 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-mult: 146.0ms (48% of total)

ival-cos: 79.0ms (26% of total)

ival-pow: 71.0ms (23.3% of total)

ival-add: 4.0ms (1.3% of total)

const: 3.0ms (1% of total)

series11.0ms (0.2%)

Counts

3 → 40

Calls

Call 1

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

Inputs

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

#<alt (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))>

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

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

Calls

15 calls:

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

rewrite108.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`log1p-expm1-u`
961×	`expm1-log1p-u`
562×	`log-prod`
235×	`prod-diff`
196×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	74
1	237	74
2	2774	74

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Inputs

(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))

(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))

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

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

simplify163.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

923×	`fma-define`
366×	`+-commutative`
361×	`fma-neg`
360×	`distribute-lft-in`
338×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	4038
1	549	3972
2	1639	3878
3	5069	3855
4	7618	3855

Stop Event

1×	node limit

Counts

117 → 140

Calls

Call 1

Inputs
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 17/180 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(.f64 #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 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (cos.f64 re))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) (cos.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (cos.f64 re)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))

Outputs
(pow.f64 im #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (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)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 17/180 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 17/180 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 17/180 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 17/180 binary64) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #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) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.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 #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) (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 -1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (cos.f64 re)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (cos.f64 re) (/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 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))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))

eval58.0ms (0.8%)

Compiler: Compiled 2254 to 1639 computations (27.3% saved)

prune33.0ms (0.5%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	136	13	149

Accuracy

100.0%

Counts

149 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	77.0%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
▶	46.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	9.4%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
▶	32.4%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
✓	77.0%	(.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)))
▶	10.4%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	63.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	47.7%	(cos.f64 re)
	25.8%	#s(literal 1 binary64)
▶	7.5%	#s(literal 1/4 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 165 to 137 computations (17% saved)

localize139.0ms (2%)

Localize:

Found 2 expressions with local error:

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

Results

65.0ms	181×	256	valid
23.0ms	75×	256	infinite

Compiler

Compiled 74 to 47 computations (36.5% saved)

Precisions

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

ival-pow: 19.0ms (38.8% of total)

ival-mult: 16.0ms (32.7% of total)

ival-cos: 7.0ms (14.3% of total)

ival-add: 3.0ms (6.1% of total)

const: 3.0ms (6.1% of total)

series5.0ms (0.1%)

Counts

2 → 37

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite103.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`log1p-expm1-u`
821×	`expm1-log1p-u`
455×	`log-prod`
259×	`fma-define`
175×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	181	54
2	2327	54

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

749×	`times-frac`
715×	`fma-neg`
560×	`fma-define`
544×	`associate-r`
506×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	5241
1	522	5169
2	1363	5057
3	5010	4135

Stop Event

1×	node limit

Counts

116 → 124

Calls

Call 1

Inputs
(+.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 re #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 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(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 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (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 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #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 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (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 #s(literal 1/2 binary64) (/.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 #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) (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 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.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 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 (cos.f64 re) (*.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)) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.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))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 re) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.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))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 re) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (.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))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 (cos.f64 re) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.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))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (cos.f64 re) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.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)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.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))) (cos.f64 re)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (cos.f64 re) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (exp.f64 (cos.f64 re))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 re) #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)) (cos.f64 re))
(fma.f64 im (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(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)) (cos.f64 re))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.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 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.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 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))
(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)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 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))
(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 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 im (sqrt.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #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 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #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) (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 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)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 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 -1/2 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)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) (fma.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) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (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 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (cbrt.f64 im)) (cos.f64 re))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.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 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.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 #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 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cos.f64 re))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.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 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(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)) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (cbrt.f64 im)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (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 (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (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 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))
(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 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (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)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(exp.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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))

eval186.0ms (2.7%)

Compiler: Compiled 1876 to 1351 computations (28% saved)

prune66.0ms (1%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	3	3
Picked	1	4	5
Done	0	5	5
Total	122	15	137

Accuracy

100.0%

Counts

137 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))
✓	77.0%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
✓	46.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	9.4%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
	31.9%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
✓	32.4%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
✓	77.0%	(.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)))
✓	10.4%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	23.4%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
▶	63.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	47.7%	(cos.f64 re)
▶	25.8%	#s(literal 1 binary64)
✓	7.5%	#s(literal 1/4 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 175 to 143 computations (18.3% saved)

localize278.0ms (4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓	100.0%	(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))

Results

188.0ms	181×	256	valid
52.0ms	75×	256	infinite

Compiler

Compiled 71 to 40 computations (43.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 12.0ms (21.1% of total)

ival-pow: 12.0ms (21.1% of total)

ival-neg: 10.0ms (17.6% of total)

ival-cos: 7.0ms (12.3% of total)

composed: 4.0ms (7% of total)

ival-add: 4.0ms (7% of total)

ival-exp: 3.0ms (5.3% of total)

const: 2.0ms (3.5% of total)

series3.0ms (0%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))>

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

Calls

9 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log1p-expm1-u`
592×	`expm1-log1p-u`
555×	`unpow-prod-down`
529×	`pow1`
347×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	151	44
2	1674	41

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 re) (*.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))) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (fma.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))) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.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 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.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)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify185.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-neg`
402×	`prod-exp`
388×	`unswap-sqr`
369×	`fma-define`
331×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	2504
1	359	2466
2	895	2438
3	3256	2438
4	5622	2438

Stop Event

1×	node limit

Counts

94 → 92

Calls

Call 1

Inputs
(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 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (*.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 (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 #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 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #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 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (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 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #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 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #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) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #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) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #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) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (cos.f64 re) (*.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))) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (fma.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))) #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.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 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.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)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (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 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (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 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.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)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 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 binary64) (fma.f64 #s(literal -1/2 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 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 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)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 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 #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 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.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 -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.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)) (cos.f64 re))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #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)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 (cos.f64 re) (*.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)) (cos.f64 re))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(fma.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))) #s(literal 1 binary64)) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 5/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (cos.f64 re) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.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 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(log.f64 (.f64 (exp.f64 (cos.f64 re)) (exp.f64 (.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)) (cos.f64 re))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 4 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64))

eval117.0ms (1.7%)

Compiler: Compiled 1266 to 971 computations (23.3% saved)

prune22.0ms (0.3%)

Pruning

15 alts after pruning (1 fresh and 14 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	5	5
Done	0	9	9
Total	92	15	107

Accuracy

100.0%

Counts

107 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))
✓	77.0%	(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
✓	46.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	9.4%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
	31.9%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
✓	32.4%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
✓	77.0%	(.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)))
✓	10.4%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	23.4%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	63.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	47.7%	(cos.f64 re)
✓	25.8%	#s(literal 1 binary64)
✓	7.5%	#s(literal 1/4 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 234 to 174 computations (25.6% saved)

regimes45.0ms (0.6%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	im
6.0ms	re
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(cos.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
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)

regimes127.0ms (1.8%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	(cos.f64 re)
32.0ms	re
13.0ms	im

Results

Accuracy	Segments	Branch
89.9%	2	`re`
93.7%	3	`im`
89.9%	2	`(cos.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

11.0ms

im

Results

Accuracy	Segments	Branch
93.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes69.0ms (1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	(cos.f64 re)
8.0ms	re
8.0ms	im

Results

Accuracy	Segments	Branch
80.8%	2	`re`
80.8%	2	`(cos.f64 re)`
84.8%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.8%	1	`(cos.f64 re)`
67.8%	1	`re`
67.8%	1	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

3 calls:

7.0ms	re
6.0ms	im
5.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
63.3%	2	`(cos.f64 re)`
63.7%	2	`re`
67.8%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
67.8%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(cos.f64 re)

Calls

3 calls:

2.0ms	re
2.0ms	im
2.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
47.7%	1	`(cos.f64 re)`
47.7%	1	`re`
47.7%	1	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
25.8%	1	`im`
25.8%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1/4 binary64)

Calls

2 calls:

18.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
7.5%	1	`re`
7.5%	1	`im`

Compiler

Compiled 6 to 4 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	im
0.0ms	re

Results

Accuracy	Segments	Branch
2.3%	1	`re`
2.3%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch48.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.0597738082699661e+154	1.6978072325111115e+157
24.0ms	0.00012166211493245418	53776.87493338521

Results

19.0ms	144×	0	valid
16.0ms	128×	0	infinite

Compiler

Compiled 410 to 338 computations (17.6% saved)

Precisions

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

ival-cos: 6.0ms (30.9% of total)

ival-exp: 5.0ms (25.8% of total)

ival-mult: 5.0ms (25.8% of total)

ival-add: 2.0ms (10.3% of total)

ival-neg: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

bsearch71.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.0597738082699661e+154	1.6978072325111115e+157
46.0ms	0.00012166211493245418	53776.87493338521

Results

41.0ms	144×	0	valid
17.0ms	128×	0	infinite

Compiler

Compiled 383 to 302 computations (21.1% saved)

Precisions

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

ival-cos: 8.0ms (39.5% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.00012166211493245418	53776.87493338521

Results

21.0ms

144×

valid

Compiler

Compiled 207 to 158 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-neg: 4.0ms (30.4% of total)

ival-exp: 3.0ms (22.8% of total)

ival-cos: 3.0ms (22.8% of total)

ival-mult: 2.0ms (15.2% of total)

ival-add: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.6024863224191847e+62	1.0709616394973258e+69

Results

19.0ms

144×

infinite

Compiler

Compiled 153 to 131 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 3.0ms (25.7% of total)

ival-neg: 3.0ms (25.7% of total)

ival-exp: 2.0ms (17.1% of total)

ival-mult: 2.0ms (17.1% of total)

ival-add: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.6024863224191847e+62	1.0709616394973258e+69

Results

20.0ms

144×

infinite

Compiler

Compiled 135 to 113 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (46.2% of total)

ival-cos: 3.0ms (23.1% of total)

ival-exp: 2.0ms (15.4% of total)

ival-add: 1.0ms (7.7% of total)

ival-neg: 1.0ms (7.7% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`
1×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	463
1	68	463
2	70	463
3	71	463

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 5404319552844595/72057594037927936 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 (cos.f64 re) #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 208967022709991/36028797018963968 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (cos.f64 re)) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 (cos.f64 re) #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 1080863910568919/144115188075855872 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))
(if (<=.f64 im #s(literal 620000000000000028564426977836206701965470623707109973387378688 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 2399999999999999992708940129454435765375625582391795086021099520 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
#s(literal 0 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(if (<=.f64 im #s(literal 5404319552844595/72057594037927936 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 (cos.f64 re) #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 5404319552844595/72057594037927936 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(if (<=.f64 im #s(literal 208967022709991/36028797018963968 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (cos.f64 re)) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 (cos.f64 re) #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 208967022709991/36028797018963968 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (cos.f64 re)) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(if (<=.f64 im #s(literal 1080863910568919/144115188075855872 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(if (<=.f64 im #s(literal 1080863910568919/144115188075855872 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (cos.f64 re))
(if (<=.f64 im #s(literal 620000000000000028564426977836206701965470623707109973387378688 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 620000000000000028564426977836206701965470623707109973387378688 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 2399999999999999992708940129454435765375625582391795086021099520 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
#s(literal 0 binary64)

soundness1.6s (22.5%)

Rules

923×	`fma-define`
821×	`log1p-expm1-u`
821×	`expm1-log1p-u`
761×	`distribute-lft-in`
726×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	181	54
2	2327	54
0	16	44
1	202	44
2	3306	44
0	252	4038
1	549	3972
2	1639	3878
3	5069	3855
4	7618	3855
0	98	1761
1	288	1603
2	957	1418
3	3544	1359

Stop Event

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

Compiler

Compiled 286 to 176 computations (38.5% saved)

preprocess100.0ms (1.4%)

Remove

(abs im)

(abs re)

Compiler

Compiled 500 to 332 computations (33.6% saved)

analyze0.0ms (0%)

sample1.9s (27.2%)

preprocess136.0ms (2%)

explain187.0ms (2.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize59.0ms (0.9%)

series7.0ms (0.1%)

rewrite262.0ms (3.8%)

simplify56.0ms (0.8%)

eval17.0ms (0.3%)

prune16.0ms (0.2%)

localize425.0ms (6.1%)

series11.0ms (0.2%)

rewrite108.0ms (1.6%)

simplify163.0ms (2.4%)

eval58.0ms (0.8%)

prune33.0ms (0.5%)

localize139.0ms (2%)

series5.0ms (0.1%)

rewrite103.0ms (1.5%)

simplify117.0ms (1.7%)

eval186.0ms (2.7%)

prune66.0ms (1%)

localize278.0ms (4%)

series3.0ms (0%)

rewrite82.0ms (1.2%)

simplify185.0ms (2.7%)

eval117.0ms (1.7%)

prune22.0ms (0.3%)

regimes45.0ms (0.6%)

regimes127.0ms (1.8%)

regimes13.0ms (0.2%)

regimes69.0ms (1%)

regimes12.0ms (0.2%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes20.0ms (0.3%)

regimes1.0ms (0%)

bsearch48.0ms (0.7%)

bsearch71.0ms (1%)

bsearch28.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch27.0ms (0.4%)

simplify7.0ms (0.1%)

soundness1.6s (22.5%)

preprocess100.0ms (1.4%)

end0.0ms (0%)

Profiling