Metrics for math.cos on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.4s (31.2%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 856.0ms

ival-cos: 295.0ms (34.5% of total)

ival-mult: 234.0ms (27.4% of total)

ival-exp: 172.0ms (20.1% of total)

ival-neg: 98.0ms (11.5% of total)

ival-add: 44.0ms (5.1% of total)

const: 10.0ms (1.2% of total)

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

Bogosity

preprocess136.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

explain114.0ms (2.5%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	-	-	`re`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`im`
0	-	-	`(cos.f64 re)`
0	-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(neg.f64 im)`
1	(6.399164940020164e+115 478.728106933356)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

68.0ms

512×

valid

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

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

ival-cos: 14.0ms (34.5% of total)

ival-mult: 11.0ms (27.1% of total)

ival-exp: 7.0ms (17.2% of total)

ival-add: 4.0ms (9.8% of total)

ival-neg: 2.0ms (4.9% of total)

const: 1.0ms (2.5% of total)

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize115.0ms (2.5%)

Localize:

Found 2 expressions with local error:

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

Results

102.0ms

256×

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 73.0ms (81.7% of total)

ival-cos: 6.0ms (6.7% of total)

ival-mult: 5.0ms (5.6% of total)

ival-exp: 3.0ms (3.4% of total)

const: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

series31.0ms (0.7%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (+.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)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
2.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite230.0ms (5%)

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	69
1	202	69
2	3306	69

Stop Event

1×

unsound

Counts

2 → 28

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.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)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-+r+`
650×	`associate-+l+`
531×	`fma-define`
402×	`associate-r`
324×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	2091
1	329	1912
2	1098	1721
3	3975	1662

Stop Event

1×	node limit

Counts

64 → 84

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)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.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)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#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 (.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))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 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 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 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))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.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 (*.f64 (cos.f64 re) #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 (*.f64 (cos.f64 re) #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 #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))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)

eval19.0ms (0.4%)

Compiler: Compiled 1149 to 668 computations (41.9% saved)

prune29.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	9	85

Accuracy

100.0%

Counts

85 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.5%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶	79.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	90.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))
	10.2%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	46.3%	(cos.f64 re)
	25.5%	#s(literal 1 binary64)
▶	2.3%	#s(literal 0 binary64)

Compiler

Compiled 143 to 118 computations (17.5% saved)

localize160.0ms (3.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	99.6%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))
✓	99.9%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))
✓	98.8%	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))

Results

120.0ms

256×

valid

Compiler

Compiled 113 to 75 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-pow: 28.0ms (33.6% of total)

ival-mult: 25.0ms (30% of total)

ival-add: 11.0ms (13.2% of total)

ival-cos: 9.0ms (10.8% of total)

ival-fma: 6.0ms (7.2% of total)

const: 4.0ms (4.8% of total)

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

series19.0ms (0.4%)

Counts

5 → 84

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))>
#<alt (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 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 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #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 (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 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 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 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 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 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #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)))))>

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) 1/12)))))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) 1/12)))))
1.0ms	re	@	inf	(pow (* (cos re) -2) -2)
1.0ms	re	@	-inf	(pow (* (cos re) -2) -2)
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) 1/12)))))

rewrite154.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`log1p-expm1-u`
872×	`prod-diff`
279×	`expm1-log1p-u`
170×	`associate-r`
147×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	169
1	346	154
2	4597	154

Stop Event

1×	node limit

Counts

5 → 100

Calls

Call 1

Inputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))

Outputs
(-.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64))) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/144 binary64))) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(pow.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 im (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal 1/12 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(exp.f64 (log.f64 (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (cos.f64 re) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (cos.f64 re) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (cos.f64 re) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 4 binary64) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 2 binary64) (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(-.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 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 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 (pow.f64 (exp.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 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify118.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

825×	`distribute-lft-in`
817×	`distribute-rgt-in`
370×	`associate-+l+`
323×	`associate-+r+`
272×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	8063
1	890	7482
2	3171	7333

Stop Event

1×	node limit

Counts

184 → 208

Calls

Call 1

Inputs
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 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 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (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 (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 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 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)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 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 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
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(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 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 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/48 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (.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 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 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)))))
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(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64) (.f64 (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 0 binary64))
(.f64 #s(literal 1 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 (.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 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 #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 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 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 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -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 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -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)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -4 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64)))
(log.f64 (pow.f64 (exp.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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.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)))
(exp.f64 (log.f64 (*.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)))
(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 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 0 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))

eval61.0ms (1.3%)

Compiler: Compiled 4246 to 3186 computations (25% saved)

prune38.0ms (0.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	201	7	208
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	203	14	217

Accuracy

100.0%

Counts

217 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.3%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
	49.7%	(.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	79.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	47.5%	(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
▶	10.2%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	48.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
▶	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
	57.6%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
	47.5%	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
✓	46.3%	(cos.f64 re)
	25.5%	#s(literal 1 binary64)
▶	7.5%	#s(literal 1/4 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 211 to 174 computations (17.5% saved)

localize105.0ms (2.3%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

✓

99.9%

(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))

✓

99.9%

(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))

✓

100.0%

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

Results

77.0ms

256×

valid

Compiler

Compiled 75 to 42 computations (44% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-pow: 23.0ms (44.6% of total)

ival-mult: 12.0ms (23.3% of total)

ival-cos: 6.0ms (11.6% of total)

ival-exp: 3.0ms (5.8% of total)

ival-add: 3.0ms (5.8% of total)

const: 2.0ms (3.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

series11.0ms (0.2%)

Counts

3 → 32

Calls

Call 1

Inputs

#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>

#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))>

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

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/17280 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	re	@	inf	(* (* 1/24 (pow im 4)) (cos re))
1.0ms	re	@	0	(* (* 1/24 (pow im 4)) (cos re))
1.0ms	re	@	-inf	(* (* 1/24 (pow im 4)) (cos re))
1.0ms	im	@	inf	(* (* 1/24 (pow im 4)) (cos re))
1.0ms	im	@	0	(* (* 1/24 (pow im 4)) (cos re))

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

98×	`log1p-expm1-u`
98×	`expm1-log1p-u`
96×	`add-exp-log`
96×	`add-log-exp`
95×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	224	42
2	3341	42

Stop Event

1×

unsound

Counts

3 → 33

Calls

Call 1

Inputs

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

(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))

(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))

Outputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

simplify193.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-neg`
787×	`fma-define`
755×	`distribute-lft-out`
508×	`associate-r`
462×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	1093
1	143	1072
2	410	1026
3	1157	995
4	3011	984
5	3931	984
6	4542	984
7	5152	984
8	5561	984
9	5937	984
10	6419	984
11	7697	984

Stop Event

1×	node limit

Counts

65 → 44

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(+.f64 (.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/17280 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(+.f64 (.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/576 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/48 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal 1/576 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/576 binary64) #s(literal -1/48 binary64)))))
(+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/17280 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))))))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/17280 binary64)))))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/17280 binary64)))) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/17280 binary64) #s(literal 1/576 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/17280 binary64) #s(literal 1/576 binary64))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/17280 binary64) #s(literal 1/576 binary64)))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

eval11.0ms (0.2%)

Compiler: Compiled 603 to 489 computations (18.9% saved)

prune16.0ms (0.4%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	2	3	5
Picked	0	5	5
Done	0	4	4
Total	38	20	58

Accuracy

100.0%

Counts

58 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.3%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
	35.2%	(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	79.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	47.5%	(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
✓	10.2%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	48.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	57.6%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))
	7.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
▶	8.5%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	8.1%	(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
▶	6.2%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
	3.4%	(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
▶	34.8%	(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
	47.5%	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
✓	46.3%	(cos.f64 re)
▶	25.5%	#s(literal 1 binary64)
✓	7.5%	#s(literal 1/4 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 235 to 204 computations (13.2% saved)

localize156.0ms (3.4%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

✓

99.9%

(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))

99.9%

(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))

98.8%

(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))

Results

116.0ms

256×

valid

Compiler

Compiled 84 to 71 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-pow: 39.0ms (52.7% of total)

ival-mult: 19.0ms (25.7% of total)

ival-add: 12.0ms (16.2% of total)

const: 4.0ms (5.4% of total)

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))>

Outputs

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(* 1/24 (pow im 4))
0.0ms	im	@	inf	(* 1/24 (pow im 4))
0.0ms	im	@	-inf	(* 1/24 (pow im 4))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`associate-r`
388×	`associate-l`
262×	`unpow-prod-down`
248×	`log1p-expm1-u`
248×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	72	16
2	761	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(fabs.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 2 binary64)))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

497×	`times-frac`
424×	`sub-neg`
421×	`distribute-lft-out`
309×	`div-sub`
240×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	864
1	165	654
2	398	637
3	1549	637
4	3762	637

Stop Event

1×	node limit

Counts

25 → 33

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(fabs.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 2 binary64)))

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/48 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(fabs.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))

eval34.0ms (0.7%)

Compiler: Compiled 1582 to 1354 computations (14.4% saved)

prune27.0ms (0.6%)

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	6	6
Picked	1	4	5
Done	0	9	9
Total	94	21	115

Accuracy

100.0%

Counts

115 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.3%	(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
	35.2%	(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	79.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	47.5%	(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
✓	10.2%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	48.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
	57.6%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
	7.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
✓	8.5%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	8.1%	(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	6.2%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
	3.4%	(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	34.8%	(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
	47.5%	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
✓	46.3%	(cos.f64 re)
	39.5%	(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
✓	25.5%	#s(literal 1 binary64)
✓	7.5%	#s(literal 1/4 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 340 to 271 computations (20.3% saved)

regimes92.0ms (2%)

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))
(.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 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))

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

Calls

6 calls:

61.0ms	im
9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	re
6.0ms	(cos.f64 re)
4.0ms	(.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)

regimes110.0ms (2.4%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 im im (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64))))))

Outputs

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

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

(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))

Calls

4 calls:

65.0ms	(cos.f64 re)
18.0ms	im
13.0ms	re
11.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
89.6%	2	`re`
97.3%	3	`im`
90.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
90.2%	2	`(cos.f64 re)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes17.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))

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

Calls

1 calls:

16.0ms

im

Results

Accuracy	Segments	Branch
97.0%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))

Outputs
(cos.f64 re)
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))

Calls

1 calls:

13.0ms

im

Results

Accuracy	Segments	Branch
95.1%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes89.0ms (1.9%)

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))

Outputs
(cos.f64 re)
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))

Calls

3 calls:

65.0ms	re
14.0ms	(cos.f64 re)
10.0ms	im

Results

Accuracy	Segments	Branch
62.1%	4	`re`
64.3%	4	`(cos.f64 re)`
82.6%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes29.0ms (0.6%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im 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 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))

Calls

1 calls:

28.0ms

im

Results

Accuracy	Segments	Branch
77.8%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))

Outputs
(cos.f64 re)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.3%	1	`re`
46.3%	1	`(cos.f64 re)`
46.3%	1	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/576 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))

Outputs
#s(literal 1 binary64)

Calls

2 calls:

8.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
25.5%	1	`im`
25.5%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1/4 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

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)

bsearch40.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.352844384813394e+76	2.0252217780708203e+82
19.0ms	0.2058281146521718	478.728106933356

Results

27.0ms

272×

valid

Compiler

Compiled 400 to 320 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 6.0ms (35.3% of total)

ival-exp: 4.0ms (23.5% of total)

ival-mult: 4.0ms (23.5% of total)

ival-add: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

bsearch45.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.352844384813394e+76	2.0252217780708203e+82
16.0ms	0.2058281146521718	478.728106933356

Results

27.0ms

272×

valid

Compiler

Compiled 344 to 280 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 6.0ms (35.2% of total)

ival-exp: 4.0ms (23.4% of total)

ival-mult: 4.0ms (23.4% of total)

ival-add: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.352844384813394e+76	2.0252217780708203e+82
10.0ms	8.446319974447775e+26	2.4752407887842672e+27

Results

22.0ms

224×

valid

Compiler

Compiled 268 to 227 computations (15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 5.0ms (37% of total)

ival-mult: 3.0ms (22.2% of total)

ival-exp: 2.0ms (14.8% of total)

ival-add: 1.0ms (7.4% of total)

ival-neg: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.446319974447775e+26	2.4752407887842672e+27

Results

9.0ms

80×

valid

Compiler

Compiled 88 to 74 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 2.0ms (39.4% of total)

ival-exp: 1.0ms (19.7% of total)

ival-mult: 1.0ms (19.7% of total)

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

const: 0.0ms (0% of total)

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

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

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.446319974447775e+26	2.4752407887842672e+27

Results

7.0ms

80×

valid

Compiler

Compiled 83 to 69 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 2.0ms (44.3% of total)

ival-exp: 1.0ms (22.1% of total)

ival-mult: 1.0ms (22.1% of total)

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

const: 0.0ms (0% of total)

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	422
1	70	422
2	72	422
3	73	422

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 7566047373982433/36028797018963968 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 7566047373982433/36028797018963968 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 849999999999999997550526464 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 849999999999999997550526464 binary64)) (cos.f64 re) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))))
(if (<=.f64 im #s(literal 950000000000000053854863360 binary64)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 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)))
(if (<=.f64 im #s(literal 7566047373982433/36028797018963968 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 7566047373982433/36028797018963968 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 7566047373982433/36028797018963968 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 7566047373982433/36028797018963968 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 849999999999999997550526464 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 849999999999999997550526464 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) (.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 849999999999999997550526464 binary64)) (cos.f64 re) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))))
(if (<=.f64 im #s(literal 950000000000000053854863360 binary64)) (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
#s(literal 0 binary64)

soundness536.0ms (11.6%)

Rules

825×	`distribute-lft-in`
817×	`distribute-rgt-in`
770×	`associate-+r+`
650×	`associate-+l+`
531×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	864
1	165	654
2	398	637
3	1549	637
4	3762	637
0	9	16
1	72	16
2	761	16
0	345	8063
1	890	7482
2	3171	7333
0	114	2091
1	329	1912
2	1098	1721
3	3975	1662
0	16	69
1	202	69
2	3306	69

Stop Event

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

Compiler

Compiled 388 to 283 computations (27.1% saved)

preprocess103.0ms (2.2%)

Remove

(abs im)

(abs re)

Compiler

Compiled 482 to 330 computations (31.5% saved)

analyze0.0ms (0%)

sample1.4s (31.2%)

preprocess136.0ms (2.9%)

explain114.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize115.0ms (2.5%)

series31.0ms (0.7%)

rewrite230.0ms (5%)

simplify69.0ms (1.5%)

eval19.0ms (0.4%)

prune29.0ms (0.6%)

localize160.0ms (3.5%)

series19.0ms (0.4%)

rewrite154.0ms (3.3%)

simplify118.0ms (2.6%)

eval61.0ms (1.3%)

prune38.0ms (0.8%)

localize105.0ms (2.3%)

series11.0ms (0.2%)

rewrite41.0ms (0.9%)

simplify193.0ms (4.2%)

eval11.0ms (0.2%)

prune16.0ms (0.4%)

localize156.0ms (3.4%)

series1.0ms (0%)

rewrite63.0ms (1.4%)

simplify64.0ms (1.4%)

eval34.0ms (0.7%)

prune27.0ms (0.6%)

regimes92.0ms (2%)

regimes110.0ms (2.4%)

regimes17.0ms (0.4%)

regimes14.0ms (0.3%)

regimes89.0ms (1.9%)

regimes29.0ms (0.6%)

regimes12.0ms (0.3%)

regimes12.0ms (0.3%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch40.0ms (0.9%)

bsearch45.0ms (1%)

bsearch32.0ms (0.7%)

bsearch13.0ms (0.3%)

bsearch11.0ms (0.2%)

simplify9.0ms (0.2%)

soundness536.0ms (11.6%)

preprocess103.0ms (2.2%)

end0.0ms (0%)

Profiling