Metrics for math.cos on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.6s (33.5%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 831.0ms

ival-cos: 314.0ms (37.8% of total)

ival-mult: 240.0ms (28.9% of total)

ival-exp: 136.0ms (16.4% of total)

ival-add: 80.0ms (9.6% of total)

ival-neg: 45.0ms (5.4% of total)

const: 11.0ms (1.3% of total)

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

Bogosity

preprocess187.0ms (3.8%)

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)

explain117.0ms (2.4%)

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	(55643475373.940605 399.11616778090104)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

69.0ms

512×

256

valid

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

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

ival-cos: 13.0ms (35.5% of total)

ival-mult: 11.0ms (30% of total)

ival-exp: 7.0ms (19.1% of total)

ival-add: 3.0ms (8.2% of total)

ival-neg: 2.0ms (5.5% of total)

const: 1.0ms (2.7% of total)

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize51.0ms (1%)

Localize:

Found 1 expressions with local error:

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

Results

34.0ms

256×

256

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

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

ival-cos: 6.0ms (33.1% of total)

ival-mult: 5.0ms (27.6% of total)

ival-exp: 3.0ms (16.6% of total)

ival-add: 1.0ms (5.5% of total)

const: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

series9.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite143.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

unsound

Counts

1 → 22

Calls

Call 1

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

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 68

Calls

Call 1

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

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

eval14.0ms (0.3%)

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

prune21.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

100.0%

Counts

69 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.5%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶	71.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	10.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	65.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	47.8%	(cos.f64 re)
▶	26.5%	#s(literal 1 binary64)
▶	2.3%	#s(literal 0 binary64)

Compiler

Compiled 105 to 88 computations (16.2% saved)

localize78.0ms (1.6%)

Localize:

Found 2 expressions with local error:

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

Results

56.0ms

256×

256

valid

Compiler

Compiled 48 to 31 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 14.0ms (39.7% of total)

ival-mult: 8.0ms (22.7% of total)

ival-cos: 7.0ms (19.8% of total)

ival-add: 4.0ms (11.3% of total)

const: 2.0ms (5.7% of total)

series10.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

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

Inputs

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	re	@	0	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
1.0ms	re	@	inf	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
1.0ms	im	@	inf	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
1.0ms	im	@	0	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
0.0ms	im	@	inf	(* 1/2 (pow im 2))

rewrite91.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	167	47
2	1931	47

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

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

simplify92.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-define`
619×	`associate-r`
547×	`associate-l`
341×	`distribute-lft-out`
309×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2977
1	405	2935
2	1165	2873
3	5749	2837

Stop Event

1×	node limit

Counts

88 → 103

Calls

Call 1

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

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

eval79.0ms (1.6%)

Compiler: Compiled 1736 to 1303 computations (24.9% saved)

prune36.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	102	9	111

Accuracy

100.0%

Counts

111 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.8%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	71.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	27.1%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	10.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	65.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	47.8%	(cos.f64 re)
✓	26.5%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize268.0ms (5.5%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

100.0%

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

100.0%

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

✓

99.8%

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

Results

194.0ms

256×

256

valid

Compiler

Compiled 67 to 39 computations (41.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 134.0ms (78.6% of total)

ival-pow: 20.0ms (11.7% of total)

ival-cos: 6.0ms (3.5% of total)

ival-exp: 4.0ms (2.3% of total)

ival-add: 3.0ms (1.8% of total)

const: 2.0ms (1.2% of total)

ival-neg: 1.0ms (0.6% of total)

series7.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	(* (cos re) (* 1/2 (pow im 2)))
2.0ms	re	@	0	(* (cos re) (* 1/2 (pow im 2)))
1.0ms	re	@	-inf	(* (cos re) (* 1/2 (pow im 2)))
1.0ms	im	@	inf	(* (cos re) (* 1/2 (pow im 2)))
0.0ms	im	@	0	(* (cos re) (* 1/2 (pow im 2)))

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify117.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 48

Calls

Call 1

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

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

eval53.0ms (1.1%)

Compiler: Compiled 2660 to 2128 computations (20% saved)

prune21.0ms (0.4%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	177	12	189

Accuracy

100.0%

Counts

189 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.8%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	25.7%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	71.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	27.1%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	39.7%	(.f64 (cos.f64 re) (sqrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))
✓	10.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	19.5%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	65.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	47.8%	(cos.f64 re)
✓	26.5%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 101 to 84 computations (16.8% saved)

localize142.0ms (2.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.1%	(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
✓	91.9%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	99.8%	(.f64 (cos.f64 re) (sqrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))
✓	76.1%	(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
	100.0%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))

Results

108.0ms

256×

256

valid

Compiler

Compiled 77 to 57 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-pow: 41.0ms (55.9% of total)

ival-mult: 17.0ms (23.2% of total)

ival-cos: 6.0ms (8.2% of total)

ival-sqrt: 4.0ms (5.5% of total)

ival-add: 3.0ms (4.1% of total)

const: 3.0ms (4.1% of total)

series10.0ms (0.2%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(* (cos re) (sqrt (* (pow im 4) 1/4)))
1.0ms	im	@	0	(* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))
1.0ms	re	@	inf	(* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))
1.0ms	re	@	0	(* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))
0.0ms	im	@	inf	(* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))

rewrite128.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log1p-expm1-u`
686×	`expm1-log1p-u`
648×	`log-prod`
478×	`prod-diff`
272×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	106
1	275	94
2	3348	94

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify169.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

898×	`times-frac`
500×	`distribute-lft-in`
421×	`distribute-rgt-in`
391×	`exp-prod`
270×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	7413
1	714	7219
2	2519	6993
3	7774	6993

Stop Event

1×	node limit

Counts

197 → 199

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 im (.f64 im #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) im) im)
(.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 re))) #s(literal 2 binary64))
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(fma.f64 (.f64 #s(literal 1/2 binary64) im) im (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) im (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 re) (log.f64 #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 re) (log.f64 #s(literal -1/4 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64)))))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)))) (pow.f64 re #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (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 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
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(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 re (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (*.f64 re (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 re) (log.f64 #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 re) (log.f64 #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))

eval71.0ms (1.4%)

Compiler: Compiled 3798 to 3038 computations (20% saved)

prune42.0ms (0.9%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	227	5	232
Fresh	0	0	0
Picked	1	2	3
Done	1	8	9
Total	229	15	244

Accuracy

100.0%

Counts

244 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	42.8%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	13.0%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
✓	71.5%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	27.1%	(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
✓	39.7%	(.f64 (cos.f64 re) (sqrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))
✓	10.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	19.5%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	65.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
	29.6%	(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
✓	47.8%	(cos.f64 re)
	32.2%	(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
✓	26.5%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 243 to 186 computations (23.5% saved)

regimes34.0ms (0.7%)

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (sqrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

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

Calls

6 calls:

11.0ms	re
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	im
5.0ms	(cos.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes38.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (cos.f64 re) (sqrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))

Outputs

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

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

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

Calls

3 calls:

15.0ms	re
14.0ms	im
8.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
86.2%	2	`re`
96.4%	3	`im`
86.5%	2	`(cos.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

1 calls:

14.0ms

im

Results

Accuracy	Segments	Branch
93.7%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))

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

Calls

1 calls:

12.0ms

im

Results

Accuracy	Segments	Branch
93.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))

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

Calls

1 calls:

11.0ms

im

Results

Accuracy	Segments	Branch
93.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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 6 binary64)) #s(literal 1/8 binary64)))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))

Calls

3 calls:

10.0ms	re
10.0ms	im
6.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
61.1%	4	`re`
62.2%	4	`(cos.f64 re)`
83.7%	3	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

im

Results

Accuracy	Segments	Branch
71.2%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
64.0%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(cos.f64 re)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.8%	1	`re`
47.8%	1	`(cos.f64 re)`
47.8%	1	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
26.5%	1	`im`
26.5%	1	`re`

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	re
0.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.5314743672721375e+78	1.3610277367331625e+83
16.0ms	0.3999726776534201	62.62766326408029

Results

24.0ms

240×

valid

Compiler

Compiled 370 to 306 computations (17.3% saved)

Precisions

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

ival-cos: 7.0ms (41.3% of total)

ival-exp: 4.0ms (23.6% of total)

ival-mult: 4.0ms (23.6% 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)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.5119275851176328e+154	1.042910579801012e+157
16.0ms	0.3999726776534201	62.62766326408029

Results

23.0ms

240×

valid

Compiler

Compiled 378 to 314 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 5.0ms (33.9% of total)

ival-mult: 4.0ms (27.1% of total)

ival-exp: 3.0ms (20.3% of total)

ival-add: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.5119275851176328e+154	1.042910579801012e+157
15.0ms	0.3999726776534201	62.62766326408029

Results

26.0ms

240×

valid

Compiler

Compiled 306 to 249 computations (18.6% saved)

Precisions

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

ival-cos: 6.0ms (37.4% of total)

ival-exp: 4.0ms (24.9% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.5119275851176328e+154	1.042910579801012e+157
17.0ms	0.3999726776534201	62.62766326408029

Results

25.0ms

240×

valid

Compiler

Compiled 306 to 241 computations (21.2% saved)

Precisions

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

ival-cos: 5.0ms (27.9% of total)

ival-add: 4.0ms (22.3% of total)

ival-mult: 4.0ms (22.3% of total)

ival-exp: 3.0ms (16.7% of total)

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

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.5119275851176328e+154	1.042910579801012e+157
16.0ms	1.0981153704514053e+36	2.3494774089789095e+38

Results

27.0ms

240×

valid

Compiler

Compiled 276 to 226 computations (18.1% saved)

Precisions

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

ival-cos: 8.0ms (40.8% of total)

ival-mult: 6.0ms (30.6% of total)

ival-exp: 3.0ms (15.3% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.3999726776534201	62.62766326408029

Results

11.0ms

112×

valid

Compiler

Compiled 130 to 98 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 2.0ms (26.9% of total)

ival-cos: 2.0ms (26.9% of total)

ival-mult: 2.0ms (26.9% of total)

ival-add: 1.0ms (13.4% of total)

ival-neg: 1.0ms (13.4% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0981153704514053e+36	2.3494774089789095e+38

Results

10.0ms

112×

valid

Compiler

Compiled 109 to 91 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 2.0ms (30.5% of total)

ival-mult: 2.0ms (30.5% of total)

ival-exp: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

ival-neg: 1.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	633
1	95	633
2	97	633
3	98	633

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 7566047373982433/18014398509481984 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 2599999999999999980945801794563076684112832240023014976758601026187775371640832 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) im) im))))
(if (<=.f64 im #s(literal 2000000000000000084841274748035923968 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) im) im))))
(if (<=.f64 im #s(literal 3152519739159347/2251799813685248 binary64)) (cos.f64 re) (.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im)))
(if (<=.f64 im #s(literal 30000000000000002158062836758597337088 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 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 7566047373982433/18014398509481984 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 2599999999999999980945801794563076684112832240023014976758601026187775371640832 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 7566047373982433/18014398509481984 binary64)) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))) (if (<=.f64 im #s(literal 2599999999999999980945801794563076684112832240023014976758601026187775371640832 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (cos.f64 re) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re)) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))))
(if (or (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (not (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)))) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) im) im))))
(if (<=.f64 im #s(literal 3602879701896397/9007199254740992 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (cos.f64 re) (.f64 im (.f64 #s(literal 1/2 binary64) im)))))
(if (<=.f64 im #s(literal 2000000000000000084841274748035923968 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) im) im))))
(if (<=.f64 im #s(literal 2000000000000000084841274748035923968 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088 binary64)) (cbrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (.f64 (cos.f64 re) (.f64 im (.f64 #s(literal 1/2 binary64) im)))))
(if (<=.f64 im #s(literal 3152519739159347/2251799813685248 binary64)) (cos.f64 re) (.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im)))
(if (<=.f64 im #s(literal 3152519739159347/2251799813685248 binary64)) (cos.f64 re) (.f64 (cos.f64 re) (.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(if (<=.f64 im #s(literal 30000000000000002158062836758597337088 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness609.0ms (12.5%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	202	44
2	3306	44
0	98	1761
1	288	1603
2	957	1418
3	3544	1359
0	23	106
1	275	94
2	3348	94
0	16	47
1	167	47
2	1931	47
0	190	2977
1	405	2935
2	1165	2873
3	5749	2837

Stop Event

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

Compiler

Compiled 599 to 415 computations (30.7% saved)

preprocess150.0ms (3.1%)

Remove

(abs im)

(abs re)

Compiler

Compiled 542 to 346 computations (36.2% saved)

analyze0.0ms (0%)

sample1.6s (33.5%)

preprocess187.0ms (3.8%)

explain117.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize51.0ms (1%)

series9.0ms (0.2%)

rewrite143.0ms (2.9%)

simplify57.0ms (1.2%)

eval14.0ms (0.3%)

prune21.0ms (0.4%)

localize78.0ms (1.6%)

series10.0ms (0.2%)

rewrite91.0ms (1.9%)

simplify92.0ms (1.9%)

eval79.0ms (1.6%)

prune36.0ms (0.7%)

localize268.0ms (5.5%)

series7.0ms (0.1%)

rewrite74.0ms (1.5%)

simplify117.0ms (2.4%)

eval53.0ms (1.1%)

prune21.0ms (0.4%)

localize142.0ms (2.9%)

series10.0ms (0.2%)

rewrite128.0ms (2.6%)

simplify169.0ms (3.5%)

eval71.0ms (1.4%)

prune42.0ms (0.9%)

regimes34.0ms (0.7%)

regimes38.0ms (0.8%)

regimes15.0ms (0.3%)

regimes13.0ms (0.3%)

regimes12.0ms (0.2%)

regimes27.0ms (0.6%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch36.0ms (0.7%)

bsearch35.0ms (0.7%)

bsearch37.0ms (0.8%)

bsearch38.0ms (0.8%)

bsearch37.0ms (0.8%)

bsearch19.0ms (0.4%)

bsearch15.0ms (0.3%)

simplify12.0ms (0.2%)

soundness609.0ms (12.5%)

preprocess150.0ms (3.1%)

end0.0ms (0%)

Profiling