Metrics for math.exp 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 8 to 6 computations (25% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (27.8%)

Results

647.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-cos: 200.0ms (55.1% of total)

ival-mult: 79.0ms (21.8% of total)

ival-exp: 73.0ms (20.1% of total)

const: 8.0ms (2.2% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

111×	`fma-define`
30×	`fma-neg`
23×	`sub-neg`
16×	`associate-r`
14×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 (neg.f64 im)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(neg.f64 (*.f64 (exp.f64 re) (cos.f64 (neg.f64 im))))
(*.f64 (exp.f64 im) (cos.f64 re))

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

Symmetry

(abs im)

explain56.0ms (1.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 re)`
-	-	`im`
-	-	`re`
-	-	`(cos.f64 im)`
-	-	`(*.f64 (exp.f64 re) (cos.f64 im))`

Results

38.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-cos: 11.0ms (56.7% of total)

ival-exp: 4.0ms (20.6% of total)

ival-mult: 4.0ms (20.6% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize29.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Results

23.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 5.0ms (52.3% of total)

ival-exp: 2.0ms (20.9% of total)

ival-mult: 2.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (*.f64 (exp.f64 re) (cos.f64 im))>

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(* (exp re) (cos im))
1.0ms	im	@	0	(* (exp re) (cos im))
0.0ms	re	@	0	(* (exp re) (cos im))
0.0ms	re	@	-inf	(* (exp re) (cos im))
0.0ms	im	@	inf	(* (exp re) (cos im))

rewrite176.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

398×	`log1p-expm1-u`
398×	`expm1-log1p-u`
380×	`add-exp-log`
375×	`unpow-prod-down`
365×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	101	21
2	1105	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))

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

simplify75.0ms (2%)

Algorithm

1×	egg-herbie

Rules

809×	`distribute-lft-in`
709×	`distribute-rgt-in`
484×	`distribute-lft-out`
325×	`fma-define`
290×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	1328
1	249	1267
2	754	1237
3	2281	1222
4	6377	1219

Stop Event

1×	node limit

Counts

45 → 53

Calls

Call 1

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

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

eval9.0ms (0.3%)

Compiler: Compiled 655 to 326 computations (50.2% saved)

prune8.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Accuracy

100.0%

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.5%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
▶	46.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	77.1%	(exp.f64 re)
▶	45.5%	(cos.f64 im)

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize62.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	99.8%	(*.f64 re (cos.f64 im))
✓	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))

Results

42.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 11.0ms (41.4% of total)

ival-cos: 10.0ms (37.6% of total)

ival-add: 4.0ms (15.1% of total)

ival-exp: 2.0ms (7.5% of total)

const: 1.0ms (3.8% of total)

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

series8.0ms (0.2%)

Counts

3 → 41

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite100.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`prod-diff`
761×	`log1p-expm1-u`
761×	`expm1-log1p-u`
371×	`log-prod`
313×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	173	63
2	2113	63

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

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

simplify139.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

526×	`times-frac`
459×	`distribute-lft-in`
426×	`div-sub`
413×	`distribute-rgt-in`
271×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	6657
1	718	6369
2	2119	5937
3	6882	5937

Stop Event

1×	node limit

Counts

187 → 137

Calls

Call 1

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

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

eval26.0ms (0.7%)

Compiler: Compiled 1946 to 1018 computations (47.7% saved)

prune24.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	133	9	142

Accuracy

100.0%

Counts

142 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.5%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
▶	45.9%	(+.f64 (cos.f64 im) re)
▶	27.7%	(+.f64 re #s(literal 1 binary64))
▶	28.9%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
✓	46.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	3.9%	(*.f64 (cos.f64 im) re)
✓	77.1%	(exp.f64 re)
✓	45.5%	(cos.f64 im)

Compiler

Compiled 62 to 45 computations (27.4% saved)

localize99.0ms (2.6%)

Localize:

Found 4 expressions with local error:

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

Results

67.0ms

256×

valid

Compiler

Compiled 58 to 35 computations (39.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-cos: 15.0ms (33.1% of total)

ival-pow: 10.0ms (22.1% of total)

ival-add: 9.0ms (19.9% of total)

ival-mult: 9.0ms (19.9% of total)

const: 2.0ms (4.4% of total)

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

series9.0ms (0.2%)

Counts

4 → 72

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite140.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log1p-expm1-u`
751×	`expm1-log1p-u`
583×	`log-prod`
571×	`fma-define`
281×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	249	77
2	3438	77

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

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

simplify310.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac`
295×	`div-sub`
289×	`+-commutative`
288×	`exp-prod`
237×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	8669
1	1130	8528
2	3473	8292
3	6862	8292

Stop Event

1×	node limit

Counts

247 → 266

Calls

Call 1

Inputs
re
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/24 binary64) re))))))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(+.f64 #s(literal 1 binary64) re)
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(fma.f64 (cos.f64 im) #s(literal 1 binary64) re)
(fma.f64 re #s(literal 1 binary64) (cos.f64 im))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) re)
(fma.f64 #s(literal 1 binary64) re (cos.f64 im))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) re)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) re)
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cos.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (cos.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (cos.f64 im))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)) (cos.f64 im))

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

eval224.0ms (5.9%)

Compiler: Compiled 4388 to 3194 computations (27.2% saved)

prune43.0ms (1.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	264	2	266
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	266	9	275

Accuracy

100.0%

Counts

275 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.5%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	45.9%	(+.f64 (cos.f64 im) re)
✓	27.7%	(+.f64 re #s(literal 1 binary64))
▶	28.9%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
✓	46.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	77.1%	(exp.f64 re)
✓	45.5%	(cos.f64 im)
▶	3.5%	re

Compiler

Compiled 59 to 42 computations (28.8% saved)

localize43.0ms (1.1%)

Localize:

Found 1 expressions with local error:

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

Results

30.0ms

256×

valid

Compiler

Compiled 37 to 21 computations (43.2% saved)

Precisions

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

ival-mult: 10.0ms (58.7% of total)

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

const: 1.0ms (5.9% of total)

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

series2.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite101.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`log1p-expm1-u`
843×	`expm1-log1p-u`
527×	`prod-diff`
420×	`log-prod`
356×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	181	33
2	2436	33

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) re)))
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(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re))
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) re)))
(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))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re) #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (cbrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re))) (cbrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 re)) (.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 re) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 re) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 re)) (sqrt.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 re (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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 re (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)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))

simplify219.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-neg`
314×	`distribute-lft-out`
299×	`associate-+r+`
259×	`*-commutative`
246×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	5214
1	658	5189
2	1983	5103
3	4471	4830

Stop Event

1×	node limit

Counts

113 → 129

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) 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)) (+.f64 #s(literal 1 binary64) re)))
(.f64 (+.f64 #s(literal 1 binary64) 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) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) #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 re (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 re (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) #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 re (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 re (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
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(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (cbrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re))) (cbrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 re)) (.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 re) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 re) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 re)) (sqrt.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 re (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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 re (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)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))

eval57.0ms (1.5%)

Compiler: Compiled 2666 to 2127 computations (20.2% saved)

prune23.0ms (0.6%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	129	9	138

Accuracy

100.0%

Counts

138 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.5%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	45.9%	(+.f64 (cos.f64 im) re)
✓	27.7%	(+.f64 re #s(literal 1 binary64))
✓	28.9%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
✓	46.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	77.1%	(exp.f64 re)
✓	45.5%	(cos.f64 im)
✓	3.5%	re

Compiler

Compiled 117 to 73 computations (37.6% saved)

regimes66.0ms (1.8%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))

Calls

5 calls:

55.0ms	im
4.0ms	re
3.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(cos.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes27.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(cos.f64 im)
9.0ms	re
5.0ms	im
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.6%	3	`re`
81.7%	5	`im`
95.6%	3	`(exp.f64 re)`
80.3%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(exp.f64 re)
(+.f64 (cos.f64 im) re)
(exp.f64 re)

Calls

2 calls:

7.0ms	re
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.3%	3	`re`
95.3%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)

Calls

2 calls:

9.0ms	re
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.0%	3	`re`
95.0%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	im
3.0ms	re
2.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
45.5%	1	`im`
45.5%	1	`(cos.f64 im)`
48.9%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
28.9%	1	`im`
30.7%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(+.f64 re #s(literal 1 binary64))

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
27.7%	1	`im`
27.7%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
re

Outputs
re

Calls

2 calls:

0.0ms	im
0.0ms	re

Results

Accuracy	Segments	Branch
3.5%	1	`re`
3.5%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0001988036545557	46.487161291607656
0.0ms	0.0	0.9999999998907044

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0001988036545557	46.487161291607656
0.0ms	0.0	0.9999999998907044

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0001988036545557	46.487161291607656
0.0ms	0.0	0.9999999998907044

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch19.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	17235751911992696.0	6.363556898116175e+30

Results

10.0ms

160×

valid

Compiler

Compiled 202 to 159 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 3.0ms (49% of total)

ival-exp: 1.0ms (16.3% of total)

ival-mult: 1.0ms (16.3% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.179446142368411e+55	3.620403596138571e+62

Results

9.0ms

144×

valid

Compiler

Compiled 192 to 153 computations (20.3% saved)

Precisions

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

ival-cos: 3.0ms (57.8% of total)

ival-exp: 1.0ms (19.3% of total)

ival-mult: 1.0ms (19.3% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
4×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	346
1	57	346

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (cos.f64 im) re) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal 17500000000000000 binary64)) (cos.f64 im) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 re #s(literal 22000000000000001041849155059240437603968711733958148096 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))
(+.f64 re #s(literal 1 binary64))
re

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (cos.f64 im) re) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (+.f64 re (cos.f64 im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal 17500000000000000 binary64)) (cos.f64 im) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 re #s(literal 17500000000000000 binary64)) (cos.f64 im) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(if (<=.f64 re #s(literal 22000000000000001041849155059240437603968711733958148096 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 re #s(literal 22000000000000001041849155059240437603968711733958148096 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(+.f64 re #s(literal 1 binary64))
re

soundness450.0ms (11.9%)

Rules

809×	`distribute-lft-in`
751×	`log1p-expm1-u`
751×	`expm1-log1p-u`
709×	`distribute-rgt-in`
583×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	249	77
2	3438	77
0	288	6657
1	718	6369
2	2119	5937
3	6882	5937
0	101	1328
1	249	1267
2	754	1237
3	2281	1222
4	6377	1219

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 232 to 154 computations (33.6% saved)

preprocess57.0ms (1.5%)

Remove: (abs im)
Compiler: Compiled 250 to 150 computations (40% saved)

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

analyze0.0ms (0%)

sample1.1s (27.8%)

preprocess52.0ms (1.4%)

explain56.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize29.0ms (0.8%)

series6.0ms (0.2%)

rewrite176.0ms (4.7%)

simplify75.0ms (2%)

eval9.0ms (0.3%)

prune8.0ms (0.2%)

localize62.0ms (1.6%)

series8.0ms (0.2%)

rewrite100.0ms (2.6%)

simplify139.0ms (3.7%)

eval26.0ms (0.7%)

prune24.0ms (0.6%)

localize99.0ms (2.6%)

series9.0ms (0.2%)

rewrite140.0ms (3.7%)

simplify310.0ms (8.2%)

eval224.0ms (5.9%)

prune43.0ms (1.1%)

localize43.0ms (1.1%)

series2.0ms (0.1%)

rewrite101.0ms (2.7%)

simplify219.0ms (5.8%)

eval57.0ms (1.5%)

prune23.0ms (0.6%)

regimes66.0ms (1.8%)

regimes27.0ms (0.7%)

regimes9.0ms (0.2%)

regimes11.0ms (0.3%)

regimes11.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.5%)

bsearch15.0ms (0.4%)

simplify7.0ms (0.2%)

soundness450.0ms (11.9%)

preprocess57.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155