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)

sample969.0ms (23%)

Results

750.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 494.0ms

ival-cos: 351.0ms (71% of total)

ival-mult: 74.0ms (15% of total)

ival-exp: 59.0ms (11.9% of total)

const: 8.0ms (1.6% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess66.0ms (1.6%)

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)

explain59.0ms (1.4%)

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

39.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 14.0ms (64.4% of total)

ival-exp: 4.0ms (18.4% of total)

ival-mult: 4.0ms (18.4% of total)

const: 1.0ms (4.6% 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)

localize27.0ms (0.6%)

Localize:

Found 1 expressions with local error:

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

Results

20.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-cos: 6.0ms (52% of total)

ival-exp: 4.0ms (34.6% of total)

ival-mult: 2.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

series101.0ms (2.4%)

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
97.0ms	re	@	-inf	(* (exp re) (cos im))
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	im	@	inf	(* (exp re) (cos im))

rewrite181.0ms (4.3%)

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)))

simplify79.0ms (1.9%)

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))

eval11.0ms (0.3%)

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

prune10.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Accuracy

100.0%

Counts

54 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
▶	51.3%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
▶	51.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	72.2%	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
▶	69.4%	(exp.f64 re)
▶	50.4%	(cos.f64 im)

Compiler

Compiled 93 to 67 computations (28% saved)

localize97.0ms (2.3%)

Localize:

Found 6 expressions with local error:

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

Results

41.0ms	185×	0	valid
14.0ms	53×	0	invalid
14.0ms	18×	5	exit

Compiler

Compiled 64 to 18 computations (71.9% saved)

Precisions

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

ival-mult: 13.0ms (32.1% of total)

ival-add: 7.0ms (17.3% of total)

ival-cos: 7.0ms (17.3% of total)

backward-pass: 4.0ms (9.9% of total)

ival-sqrt: 4.0ms (9.9% of total)

ival-pow: 3.0ms (7.4% of total)

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

const: 1.0ms (2.5% of total)

series15.0ms (0.4%)

Counts

5 → 89

Calls

Call 1

Inputs
#<alt (pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))>
#<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 (+.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))>
#<alt (sqrt.f64 (cos.f64 im))>
#<alt (+.f64 (sqrt.f64 (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (.f64 re (sqrt.f64 (cos.f64 im)))))>
#<alt (+.f64 (sqrt.f64 (cos.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (cos.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 im)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im))))))))>
#<alt (+.f64 (sqrt.f64 (cos.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (cos.f64 im))) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (.f64 #s(literal 1/4 binary64) (cos.f64 im))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (.f64 #s(literal 1/4 binary64) (cos.f64 im)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im))))))))))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (exp.f64 re))>
#<alt (+.f64 (sqrt.f64 (exp.f64 re)) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 re)))))>
#<alt (+.f64 (sqrt.f64 (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/16 binary64) (exp.f64 re)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))>
#<alt (+.f64 (sqrt.f64 (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re))) (-.f64 (.f64 #s(literal 1/24 binary64) (exp.f64 re)) (.f64 #s(literal 1/16 binary64) (exp.f64 re))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) (exp.f64 re)) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (exp.f64 re)) (.f64 #s(literal 1/16 binary64) (exp.f64 re)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<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

30 calls:

Time	Variable		Expression
1.0ms	im	@	(+ (cos im) (* re (cos im)))
1.0ms	im	@	(sqrt (* (exp re) (cos im)))
1.0ms	re	@	(sqrt (* (exp re) (cos im)))
0.0ms	im	@	(* re (cos im))
0.0ms	re	@	(* re (cos im))

rewrite182.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`log1p-expm1-u`
983×	`expm1-log1p-u`
868×	`prod-diff`
180×	`fma-neg`
94×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	109
1	255	109
2	2793	109

Stop Event

1×	node limit

Counts

5 → 161

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(*.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 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 re) (cos.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cos.f64 im)) (exp.f64 re)))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im)))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))))
(.f64 (sqrt.f64 (cos.f64 im)) (.f64 (sqrt.f64 (cos.f64 im)) (exp.f64 re)))
(.f64 (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1/4 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
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(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
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simplify128.0ms (3%)

Algorithm

1×	egg-herbie

Rules

582×	`distribute-lft-in`
565×	`distribute-rgt-in`
466×	`times-frac`
326×	`associate-r`
273×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	8956
1	1086	8508
2	3526	8234

Stop Event

1×	node limit

Counts

250 → 221

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

eval51.0ms (1.2%)

Compiler: Compiled 4181 to 2173 computations (48% saved)

prune72.0ms (1.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	269	5	274
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	269	12	281

Accuracy

100.0%

Counts

281 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
✓	51.3%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
▶	50.6%	(+.f64 (cos.f64 im) re)
▶	27.3%	(+.f64 re #s(literal 1 binary64))
▶	27.3%	(.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)))
✓	51.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	60.1%	(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
▶	3.8%	(*.f64 (cos.f64 im) re)
▶	72.2%	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
✓	69.4%	(exp.f64 re)
✓	50.4%	(cos.f64 im)

Compiler

Compiled 146 to 108 computations (26% saved)

localize205.0ms (4.9%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	100.0%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
✓	99.9%	(*.f64 (cos.f64 im) re)
✓	100.0%	(+.f64 re (log.f64 (cos.f64 im)))
✓	100.0%	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
✓	75.4%	(log.f64 (cos.f64 im))

Results

127.0ms	114×	1	valid
19.0ms	71×	0	invalid
21.0ms	71×	0	valid

Compiler

Compiled 76 to 38 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-cos: 39.0ms (31.9% of total)

ival-log: 21.0ms (17.2% of total)

ival-pow: 17.0ms (13.9% of total)

backward-pass: 15.0ms (12.3% of total)

ival-add: 13.0ms (10.6% of total)

ival-mult: 13.0ms (10.6% of total)

const: 3.0ms (2.5% of total)

ival-exp: 2.0ms (1.6% of total)

series174.0ms (4.1%)

Counts

6 → 77

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))>
#<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 (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) 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 (log.f64 (cos.f64 im))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))>
#<alt re>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))>
#<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)))))>

Calls

30 calls:

Time	Variable		Point	Expression
129.0ms	im	@	inf	(log (cos im))
20.0ms	im	@	-inf	(log (cos im))
6.0ms	re	@	0	(+ re (log (cos im)))
1.0ms	im	@	0	(log (cos im))
1.0ms	im	@	inf	(* (+ (* -1/2 (pow im 2)) 1) (+ re 1))

rewrite148.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`prod-diff`
832×	`log1p-expm1-u`
693×	`expm1-log1p-u`
127×	`add-exp-log`
126×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	120
1	285	120
2	3813	120

Stop Event

1×	node limit

Counts

6 → 150

Calls

Call 1

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

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

simplify153.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

713×	`times-frac`
418×	`associate-+r+`
378×	`associate-+l+`
266×	`fma-define`
259×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	8132
1	1137	7760
2	3832	7402

Stop Event

1×	node limit

Counts

227 → 264

Calls

Call 1

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

Outputs
(*.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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(*.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 -1/45 binary64) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(*.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)) (fma.f64 #s(literal -17/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/45 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(*.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)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -17/2520 binary64) #s(literal -1/45 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(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 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))
(+.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 #s(literal 1/2 binary64) (cos.f64 im)))))))
(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))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.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 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) #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))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 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 (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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (exp.f64 re) (+.f64 (.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 (.f64 (.f64 (exp.f64 re) (+.f64 (.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) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
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(*.f64 (+.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)) (fma.f64 re re (-.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)) (fma.f64 re re #s(literal -1 binary64))) (+.f64 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 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(*.f64 (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 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #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 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #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 (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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 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 (.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 re #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (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 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 re #s(literal 1 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #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 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #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 (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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (.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 re #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (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 (+.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))) (fma.f64 re re (-.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 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(*.f64 (+.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)) (fma.f64 re re (-.f64 #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)))
(*.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)) (+.f64 re #s(literal -1 binary64))))
(*.f64 (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))))
(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))
(*.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)))
(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))
(*.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)))
(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))
(*.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)))
(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))
(*.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)))
(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)))
(*.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 (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 (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 #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))))))
(*.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)))
(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)))
(*.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)))
(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))))
(*.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)))
(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))))
(*.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)))
(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)))))
(*.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)))))
(*.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 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log1p.f64 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)))
(exp.f64 (.f64 (+.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log1p.f64 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)))
(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)))
(*.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)))
(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)))
(*.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))

eval190.0ms (4.5%)

Compiler: Compiled 3919 to 2593 computations (33.8% saved)

prune38.0ms (0.9%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	262	2	264
Fresh	0	1	1
Picked	1	4	5
Done	0	6	6
Total	263	13	276

Accuracy

100.0%

Counts

276 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
✓	51.3%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	50.6%	(+.f64 (cos.f64 im) re)
✓	27.3%	(+.f64 re #s(literal 1 binary64))
▶	26.3%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	9.3%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) re)))
✓	51.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	60.1%	(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
✓	3.8%	(*.f64 (cos.f64 im) re)
✓	72.2%	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
✓	69.4%	(exp.f64 re)
✓	50.4%	(cos.f64 im)

Compiler

Compiled 101 to 75 computations (25.7% saved)

localize126.0ms (3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	96.4%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) re)))
✓	100.0%	(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re #s(literal 1/2 binary64))))
✓	99.9%	(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64)))))

Results

89.0ms

256×

valid

Compiler

Compiled 84 to 58 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 22.0ms (37.4% of total)

ival-pow: 15.0ms (25.5% of total)

ival-add: 12.0ms (20.4% of total)

ival-cos: 6.0ms (10.2% of total)

const: 3.0ms (5.1% of total)

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

series9.0ms (0.2%)

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

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

Calls

15 calls:

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

rewrite227.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`log1p-expm1-u`
891×	`expm1-log1p-u`
679×	`fma-define`
320×	`fma-neg`
150×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	112
1	304	94
2	4452	94

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs

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

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

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

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

simplify243.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

504×	`cancel-sign-sub-inv`
444×	`associate-+r+`
382×	`associate-r`
368×	`fma-neg`
320×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	10509
1	1334	9443
2	4350	9155

Stop Event

1×	node limit

Counts

250 → 279

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (.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) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(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 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
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(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
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(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64))))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal 1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) im) (.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 im (sqrt.f64 (.f64 re #s(literal 1/2 binary64)))) (.f64 im (sqrt.f64 (.f64 re #s(literal 1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) im) im (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (.f64 re #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))

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

eval122.0ms (2.9%)

Compiler: Compiled 5423 to 3822 computations (29.5% saved)

prune49.0ms (1.2%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	1	2	3
Done	0	10	10
Total	291	15	306

Accuracy

100.0%

Counts

306 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
✓	51.3%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	50.6%	(+.f64 (cos.f64 im) re)
✓	27.3%	(+.f64 re #s(literal 1 binary64))
✓	9.3%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) re)))
✓	51.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	60.1%	(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
✓	3.8%	(*.f64 (cos.f64 im) re)
	9.2%	(.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))))
	9.6%	(.f64 re (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	9.1%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	72.2%	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
✓	69.4%	(exp.f64 re)
✓	50.4%	(cos.f64 im)

Compiler

Compiled 232 to 156 computations (32.8% saved)

regimes34.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	im
8.0ms	(cos.f64 im)
7.0ms	re
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(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)

regimes36.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	im
6.0ms	(cos.f64 im)
6.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.9%	4	`re`
82.2%	9	`im`
93.0%	3	`(exp.f64 re)`
83.0%	6	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(exp.f64 re)

Results

Accuracy	Segments	Branch
92.8%	3	`(exp.f64 re)`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(exp.f64 re)

Results

Accuracy	Segments	Branch
92.4%	3	`(exp.f64 re)`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(+.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:

3.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
91.9%	3	`re`
92.3%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(cos.f64 im)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.4%	1	`im`
50.4%	1	`(cos.f64 im)`
50.4%	1	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
27.3%	1	`im`
27.3%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000035583
0.0ms	0.0	0.9999320550777852

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000035583
0.0ms	0.0	0.9999320550777852

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000035583
0.0ms	0.0	0.9999320550777852

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000035583
0.0ms	0.0	0.9999320550777852

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`if-if-or-not`
5×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	322
1	54	322

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

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

soundness337.0ms (8%)

Rules

809×	`distribute-lft-in`
709×	`distribute-rgt-in`
582×	`distribute-lft-in`
565×	`distribute-rgt-in`
484×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	101	21
2	1105	21
0	101	1328
1	249	1267
2	754	1237
3	2281	1222
4	6377	1219
0	425	8956
1	1086	8508
2	3526	8234

Stop Event

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

Compiler

Compiled 256 to 125 computations (51.2% saved)

preprocess48.0ms (1.1%)

Remove: (abs im)
Compiler: Compiled 232 to 132 computations (43.1% 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%)

sample969.0ms (23%)

preprocess66.0ms (1.6%)

explain59.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (0.6%)

series101.0ms (2.4%)

rewrite181.0ms (4.3%)

simplify79.0ms (1.9%)

eval11.0ms (0.3%)

prune10.0ms (0.2%)

localize97.0ms (2.3%)

series15.0ms (0.4%)

rewrite182.0ms (4.3%)

simplify128.0ms (3%)

eval51.0ms (1.2%)

prune72.0ms (1.7%)

localize205.0ms (4.9%)

series174.0ms (4.1%)

rewrite148.0ms (3.5%)

simplify153.0ms (3.6%)

eval190.0ms (4.5%)

prune38.0ms (0.9%)

localize126.0ms (3%)

series9.0ms (0.2%)

rewrite227.0ms (5.4%)

simplify243.0ms (5.8%)

eval122.0ms (2.9%)

prune49.0ms (1.2%)

regimes34.0ms (0.8%)

regimes36.0ms (0.8%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

soundness337.0ms (8%)

preprocess48.0ms (1.1%)

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