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

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-cos, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample2.0s (33.2%)

Results

766.0ms	4145×	256	infinite
896.0ms	4109×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 928.0ms

Operation ival-cos, time spent: 376.0ms, 40.0% of total-time

Operation ival-mult, time spent: 191.0ms, 21.0% of total-time

Operation ival-exp, time spent: 190.0ms, 20.0% of total-time

Operation ival-neg, time spent: 106.0ms, 11.0% of total-time

Operation ival-add, time spent: 51.0ms, 5.0% of total-time

Operation const, time spent: 15.0ms, 2.0% of total-time

Bogosity

preprocess262.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1660×	`fma-define`
824×	`fma-neg`
204×	`times-frac`
192×	`associate-r`
174×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

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

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)

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

Operation ival-cos, time spent: 14.0ms, 32.0% of total-time

Operation ival-mult, time spent: 14.0ms, 32.0% of total-time

Operation ival-exp, time spent: 8.0ms, 18.0% of total-time

Operation ival-neg, time spent: 4.0ms, 9.0% of total-time

Operation ival-add, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

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)

localize195.0ms (3.2%)

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)))

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

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

Operation ival-cos, time spent: 7.0ms, 36.0% of total-time

Operation ival-mult, time spent: 6.0ms, 31.0% of total-time

Operation ival-exp, time spent: 3.0ms, 15.0% of total-time

Operation ival-add, time spent: 1.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

Operation ival-neg, time spent: 1.0ms, 5.0% of total-time

series10.0ms (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
4.0ms	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	im	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite241.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

200×	`associate-r`
128×	`associate-l`
90×	`add-exp-log`
90×	`add-log-exp`
90×	`log1p-expm1-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)))

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1522×	`distribute-lft-in`
1452×	`associate-+r+`
1446×	`distribute-rgt-in`
856×	`fma-define`
668×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 68

Calls

Call 1

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

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

eval17.0ms (0.3%)

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

prune16.0ms (0.3%)

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
	7.8%	(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶	74.6%	(.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)))
▶	10.6%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	49.4%	(cos.f64 re)
▶	28.0%	#s(literal 1 binary64)
▶	2.3%	#s(literal 0 binary64)

Compiler

Compiled 105 to 88 computations (16.2% saved)

localize99.0ms (1.7%)

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))

Compiler

Compiled 48 to 31 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

Operation ival-mult, time spent: 21.0ms, 52.0% of total-time

Operation ival-cos, time spent: 8.0ms, 20.0% of total-time

Operation ival-pow, time spent: 6.0ms, 15.0% of total-time

Operation ival-add, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

series7.0ms (0.1%)

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
2.0ms	re	@	inf	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
1.0ms	im	@	inf	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
1.0ms	re	@	0	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
1.0ms	im	@	0	(* (+ (* 1/2 (pow im 2)) 1) (cos re))
0.0ms	im	@	inf	(* 1/2 (pow im 2))

rewrite87.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`unpow-prod-down`
732×	`log-prod`
668×	`log1p-expm1-u`
668×	`expm1-log1p-u`
470×	`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))

simplify116.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1344×	`fma-define`
1238×	`associate-r`
1094×	`associate-l`
682×	`distribute-lft-out`
618×	`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)))
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(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.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))))

eval116.0ms (1.9%)

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

prune17.0ms (0.3%)

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
▶	47.3%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	74.6%	(.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)))
▶	28.8%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	10.6%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	49.4%	(cos.f64 re)
✓	28.0%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize179.0ms (3%)

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))))

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))))

Compiler

Compiled 67 to 39 computations (41.8% saved)

Precisions

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

Operation ival-pow, time spent: 53.0ms, 64.0% of total-time

Operation ival-mult, time spent: 13.0ms, 16.0% of total-time

Operation ival-cos, time spent: 7.0ms, 8.0% of total-time

Operation ival-exp, time spent: 4.0ms, 5.0% of total-time

Operation ival-add, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

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	im	@	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	re	@	inf	(* (cos re) (* 1/2 (pow im 2)))
1.0ms	im	@	0	(* (cos re) (* 1/2 (pow im 2)))

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`unpow-prod-down`
634×	`log-prod`
506×	`log1p-expm1-u`
506×	`expm1-log1p-u`
466×	`exp-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)))

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-neg`
1358×	`fma-define`
1176×	`associate-r`
1106×	`div-sub`
1026×	`distribute-lft-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	1687
1	179	1687
2	436	1647
3	1212	1616
4	3307	1605
5	4894	1605
6	6885	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)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 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 #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 (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 #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))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) #s(literal 1 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))
(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 #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))
(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 #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))
(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 #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))
(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 #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))
(log1p.f64 (expm1.f64 (.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 (.f64 #s(literal 1/2 binary64) (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 #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))
(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 #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))
(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 #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))

eval223.0ms (3.7%)

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

prune20.0ms (0.3%)

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
✓	47.3%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	27.2%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	74.6%	(.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)))
✓	28.8%	(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	40.8%	(.f64 (cos.f64 re) (sqrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))
✓	10.6%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶	22.3%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	49.4%	(cos.f64 re)
✓	28.0%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 101 to 84 computations (16.8% saved)

localize210.0ms (3.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	85.6%	(.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))))
✓	77.6%	(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)))

Compiler

Compiled 77 to 57 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

Operation ival-pow, time spent: 30.0ms, 44.0% of total-time

Operation ival-mult, time spent: 20.0ms, 29.0% of total-time

Operation ival-cos, time spent: 7.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 6.0% of total-time

Operation const, time spent: 4.0ms, 6.0% of total-time

Operation ival-add, time spent: 3.0ms, 4.0% of total-time

series7.0ms (0.1%)

Counts

3 → 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)))))>

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

15 calls:

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

rewrite126.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`log-prod`
956×	`prod-diff`
686×	`log1p-expm1-u`
686×	`expm1-log1p-u`
544×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	275	78
2	3348	78

Stop Event

1×	node limit

Counts

3 → 133

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)))))

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

simplify151.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1592×	`times-frac`
680×	`exp-prod`
658×	`cube-prod`
616×	`distribute-lft-in`
532×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	6627
1	661	6439
2	2258	6285
3	6614	6285

Stop Event

1×	node limit

Counts

181 → 172

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

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

eval85.0ms (1.4%)

Compiler: Compiled 3421 to 2727 computations (20.3% saved)

prune38.0ms (0.6%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	201	4	205
Fresh	0	0	0
Picked	1	2	3
Done	2	7	9
Total	204	13	217

Accuracy

100.0%

Counts

217 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.3%	(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	47.3%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	14.4%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	28.8%	(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im))
✓	40.8%	(.f64 (cos.f64 re) (sqrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))))
✓	10.6%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	22.3%	(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	64.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	49.4%	(cos.f64 re)
	32.5%	(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))
✓	28.0%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 217 to 164 computations (24.4% saved)

regimes64.0ms (1.1%)

Counts

17 → 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)))
(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:

22.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
10.0ms	im
10.0ms	re
9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms	(cos.f64 re)

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)

regimes84.0ms (1.4%)

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)))
(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:

36.0ms	(cos.f64 re)
28.0ms	im
18.0ms	re

Results

Accuracy	Segments	Branch
85.7%	2	`re`
96.0%	3	`im`
88.8%	4	`(cos.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.5%)

Counts

15 → 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)))
(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 (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) im) im))

Calls

1 calls:

26.0ms

im

Results

Accuracy	Segments	Branch
91.2%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.4%)

Counts

13 → 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)))
(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 (*.f64 #s(literal 1/2 binary64) im) im))

Calls

1 calls:

23.0ms

im

Results

Accuracy	Segments	Branch
91.2%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes85.0ms (1.4%)

Counts

10 → 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)))
(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:

38.0ms	re
25.0ms	(cos.f64 re)
22.0ms	im

Results

Accuracy	Segments	Branch
65.2%	4	`(cos.f64 re)`
65.4%	6	`re`
84.4%	3	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (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
74.6%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

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

Calls

1 calls:

13.0ms

im

Results

Accuracy	Segments	Branch
68.3%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts

5 → 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)))

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

Calls

1 calls:

11.0ms

im

Results

Accuracy	Segments	Branch
68.3%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.3%)

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:

6.0ms	(cos.f64 re)
4.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
49.4%	1	`re`
49.4%	1	`(cos.f64 re)`
49.4%	1	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (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:

3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
28.0%	1	`re`
28.0%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes156.0ms (2.6%)

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:

153.0ms	im
3.0ms	re

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.702334967445757e+65	3.0077586762985036e+66
3.0ms	1307520.0137611472	1424007.4140398637

Results

16.0ms	95×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 157 to 129 computations (17.8% saved)

Precisions

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

Operation ival-cos, time spent: 3.0ms, 45.0% of total-time

Operation ival-mult, time spent: 2.0ms, 30.0% of total-time

Operation ival-exp, time spent: 1.0ms, 15.0% of total-time

Operation ival-add, time spent: 1.0ms, 15.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.909227818875155e+150	5.287087271681908e+157
3.0ms	1307520.0137611472	1424007.4140398637

Results

26.0ms	159×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 240 to 187 computations (22.1% saved)

Precisions

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

Operation ival-cos, time spent: 7.0ms, 53.0% of total-time

Operation ival-mult, time spent: 3.0ms, 23.0% of total-time

Operation ival-exp, time spent: 2.0ms, 15.0% of total-time

Operation ival-add, time spent: 1.0ms, 8.0% of total-time

Operation ival-neg, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch56.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.909227818875155e+150	5.287087271681908e+157
28.0ms	1.0194406993906448e-10	0.06477503782631339

Results

25.0ms	144×	256	valid
24.0ms	143×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 360 to 284 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation ival-cos, time spent: 8.0ms, 35.0% of total-time

Operation ival-mult, time spent: 7.0ms, 30.0% of total-time

Operation ival-exp, time spent: 5.0ms, 22.0% of total-time

Operation ival-add, time spent: 2.0ms, 9.0% of total-time

Operation ival-neg, time spent: 1.0ms, 4.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch110.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.909227818875155e+150	5.287087271681908e+157
85.0ms	4.1940244661852554e+39	4.2474674524273844e+42

Results

101.0ms	271×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 310 to 254 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

Operation ival-mult, time spent: 65.0ms, 82.0% of total-time

Operation ival-cos, time spent: 7.0ms, 9.0% of total-time

Operation ival-exp, time spent: 3.0ms, 4.0% of total-time

Operation ival-add, time spent: 2.0ms, 3.0% of total-time

Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch25.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.06477503782631339	1616.995011460779

Results

22.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 146 to 110 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-cos, time spent: 4.0ms, 38.0% of total-time

Operation ival-exp, time spent: 3.0ms, 28.0% of total-time

Operation ival-mult, time spent: 2.0ms, 19.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

Operation ival-neg, time spent: 1.0ms, 9.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.0194406993906448e-10	0.06477503782631339

Results

24.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 153 to 131 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-cos, time spent: 4.0ms, 36.0% of total-time

Operation ival-exp, time spent: 3.0ms, 27.0% of total-time

Operation ival-mult, time spent: 2.0ms, 18.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

Operation ival-neg, time spent: 1.0ms, 9.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.730922517559406e+91	5.610039921908663e+93

Results

17.0ms	111×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 109 to 91 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-cos, time spent: 4.0ms, 48.0% of total-time

Operation ival-mult, time spent: 2.0ms, 24.0% of total-time

Operation ival-exp, time spent: 1.0ms, 12.0% of total-time

Operation ival-add, time spent: 1.0ms, 12.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	608
1	89	608
2	91	608
3	92	608

Stop Event

1×	fuel
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 1350000 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 3000000000000000023039211183097908907200598297747970289956890345472 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 1350000 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 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 8070450532247929/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 6200000000000000502668050724545858895872 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 6530219459687219/4503599627370496 binary64)) (cos.f64 re) (.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im)))
(if (<=.f64 im #s(literal 1080863910568919/36028797018963968 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 125000000000000005422162121827398259161286665618992413973971723667014601611210138867665469440 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 1350000 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 3000000000000000023039211183097908907200598297747970289956890345472 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 1350000 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 3000000000000000023039211183097908907200598297747970289956890345472 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 1350000 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 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 1350000 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 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 8070450532247929/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 8070450532247929/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 6200000000000000502668050724545858895872 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 6200000000000000502668050724545858895872 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 6530219459687219/4503599627370496 binary64)) (cos.f64 re) (.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) im) im)))
(if (<=.f64 im #s(literal 6530219459687219/4503599627370496 binary64)) (cos.f64 re) (.f64 (cos.f64 re) (.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(if (<=.f64 im #s(literal 1080863910568919/36028797018963968 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 1080863910568919/36028797018963968 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 125000000000000005422162121827398259161286665618992413973971723667014601611210138867665469440 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)

Compiler

Compiled 194 to 142 computations (26.8% saved)

soundness580.0ms (9.7%)

Rules

1522×	`distribute-lft-in`
1452×	`associate-+r+`
1446×	`distribute-rgt-in`
1344×	`fma-define`
1296×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	275	78
2	3348	78
0	16	47
1	167	47
2	1931	47
0	190	2977
1	405	2935
2	1165	2873
3	5749	2837
0	16	44
1	202	44
2	3306	44
0	98	1761
1	288	1603
2	957	1418
3	3544	1359

Stop Event

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

Compiler

Compiled 419 to 312 computations (25.5% saved)

end0.0ms (0%)

preprocess125.0ms (2.1%)

Remove

(abs im)

(abs re)

Compiler

Compiled 634 to 424 computations (33.1% saved)

analyze0.0ms (0%)

sample2.0s (33.2%)

preprocess262.0ms (4.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize195.0ms (3.2%)

series10.0ms (0.2%)

rewrite241.0ms (4%)

simplify80.0ms (1.3%)

eval17.0ms (0.3%)

prune16.0ms (0.3%)

localize99.0ms (1.7%)

series7.0ms (0.1%)

rewrite87.0ms (1.4%)

simplify116.0ms (1.9%)

eval116.0ms (1.9%)

prune17.0ms (0.3%)

localize179.0ms (3%)

series7.0ms (0.1%)

rewrite73.0ms (1.2%)

simplify115.0ms (1.9%)

eval223.0ms (3.7%)

prune20.0ms (0.3%)

localize210.0ms (3.5%)

series7.0ms (0.1%)

rewrite126.0ms (2.1%)

simplify151.0ms (2.5%)

eval85.0ms (1.4%)

prune38.0ms (0.6%)

regimes64.0ms (1.1%)

regimes84.0ms (1.4%)

regimes27.0ms (0.5%)

regimes24.0ms (0.4%)

regimes85.0ms (1.4%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes15.0ms (0.3%)

regimes7.0ms (0.1%)

regimes156.0ms (2.6%)

bsearch19.0ms (0.3%)

bsearch30.0ms (0.5%)

bsearch56.0ms (0.9%)

bsearch110.0ms (1.8%)

bsearch25.0ms (0.4%)

bsearch28.0ms (0.5%)

bsearch20.0ms (0.3%)

simplify17.0ms (0.3%)

soundness580.0ms (9.7%)

end0.0ms (0%)

preprocess125.0ms (2.1%)

Profiling