Metrics for math.exp on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.4s (18.4%)

Results

683.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 477.0ms

ival-cos: 210.0ms (44.1% of total)

ival-exp: 158.0ms (33.2% of total)

ival-mult: 98.0ms (20.6% of total)

const: 8.0ms (1.7% of total)

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

Bogosity

preprocess57.0ms (0.7%)

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)

explain67.0ms (0.9%)

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

45.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 11.0ms (53.6% of total)

ival-exp: 5.0ms (24.4% of total)

ival-mult: 4.0ms (19.5% of total)

const: 1.0ms (4.9% 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)

localize33.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(*.f64 (exp.f64 re) (cos.f64 im))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	12	45

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

21.0ms

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: 8.0ms (64.6% of total)

ival-exp: 2.0ms (16.1% of total)

ival-mult: 2.0ms (16.1% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

3 → 32

Calls

Call 1

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

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 #s(literal 1 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 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #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 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))>

Calls

12 calls:

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

rewrite203.0ms (2.6%)

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	37
1	101	37
2	1105	37

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

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)))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 im)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 im)))
(log1p.f64 (expm1.f64 (cos.f64 im)))
(exp.f64 (log.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(+.f64 #s(literal 0 binary64) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(*.f64 (cbrt.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 re)))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) re))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) re)) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re)))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) re)) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 2 binary64))
(pow.f64 (E.f64) re)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 (sqrt.f64 re)))
(sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 re)))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))
(expm1.f64 (log1p.f64 (exp.f64 re)))
(log1p.f64 (expm1.f64 (exp.f64 re)))

simplify153.0ms (2%)

Algorithm

1×	egg-herbie

Rules

571×	`distribute-lft-in`
500×	`distribute-rgt-in`
380×	`fma-neg`
322×	`prod-exp`
293×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	3260
1	582	3109
2	1858	3068
3	5320	3051

Stop Event

1×	node limit

Counts

133 → 158

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))
#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 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#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 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) 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)))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 im)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 im)))
(log1p.f64 (expm1.f64 (cos.f64 im)))
(exp.f64 (log.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(+.f64 #s(literal 0 binary64) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(*.f64 (cbrt.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 re)))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) re))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) re)) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re)))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) re)) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 2 binary64))
(pow.f64 (E.f64) re)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 (sqrt.f64 re)))
(sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 re)))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))
(expm1.f64 (log1p.f64 (exp.f64 re)))
(log1p.f64 (expm1.f64 (exp.f64 re)))

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 re #s(literal 1/2 binary64)) (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) (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 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) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 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 #s(literal -1/2 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.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) (fma.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) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #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 (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 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (fma.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 (.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) (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 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (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))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.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 re #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 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.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))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(cos.f64 im)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(cos.f64 im)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(cos.f64 im)
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(cos.f64 im)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(cos.f64 im)
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(cos.f64 im)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(cos.f64 im)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(cos.f64 im)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 3 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 3 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(cos.f64 im)
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(cos.f64 im)
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 im)
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(cos.f64 im)
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(cos.f64 im)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cos.f64 im)
(log.f64 (exp.f64 (cos.f64 im)))
(cos.f64 im)
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(cos.f64 im)
(expm1.f64 (log1p.f64 (cos.f64 im)))
(cos.f64 im)
(log1p.f64 (expm1.f64 (cos.f64 im)))
(cos.f64 im)
(exp.f64 (log.f64 (cos.f64 im)))
(cos.f64 im)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(cos.f64 im)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(cos.f64 im)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(cos.f64 im)
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(+.f64 #s(literal 0 binary64) (exp.f64 re))
(exp.f64 re)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(exp.f64 re)
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(exp.f64 re)
(*.f64 (exp.f64 re) (log.f64 (E.f64)))
(exp.f64 re)
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(exp.f64 re)
(*.f64 (cbrt.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)))
(exp.f64 re)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 re)))
(exp.f64 re)
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(exp.f64 re)
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) re))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2/3 binary64) re)) (pow.f64 (E.f64) (*.f64 re #s(literal 1/3 binary64))))
(.f64 (pow.f64 (E.f64) (.f64 re #s(literal 2/3 binary64))) (pow.f64 (E.f64) (*.f64 re #s(literal 1/3 binary64))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) re)) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) re)))
(exp.f64 re)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 re))
(exp.f64 re)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)))
(exp.f64 re)
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re)))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) re)) (E.f64))
(exp.f64 re)
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))
(exp.f64 re)
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(exp.f64 re)
(pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 3 binary64))
(exp.f64 re)
(pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(exp.f64 re)
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)) #s(literal 1/3 binary64))
(exp.f64 re)
(pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 2 binary64))
(exp.f64 re)
(pow.f64 (E.f64) re)
(exp.f64 re)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (fabs.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 (sqrt.f64 re)))
(sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(exp.f64 re)
(log.f64 (exp.f64 (exp.f64 re)))
(exp.f64 re)
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))
(exp.f64 re)
(expm1.f64 (log1p.f64 (exp.f64 re)))
(exp.f64 re)
(log1p.f64 (expm1.f64 (exp.f64 re)))
(exp.f64 re)

eval29.0ms (0.4%)

Compiler: Compiled 1882 to 535 computations (71.6% saved)

prune25.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	152	6	158
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	7	159

Accuracy

100.0%

Counts

159 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.6%	(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 binary64)) (cos.f64 im)))))
▶	57.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	73.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
▶	70.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	71.5%	(exp.f64 re)
▶	56.1%	(cos.f64 im)

Compiler

Compiled 135 to 93 computations (31.1% saved)

localize240.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	cost-diff	0	(exp.f64 re)
	cost-diff	0	(cos.f64 im)
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	accuracy	100.0%	(exp.f64 re)
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))

Rules

956×	`fma-define`
178×	`distribute-lft-in`
165×	`distribute-rgt-in`
160×	`associate-r`
123×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	464
1	61	392
2	147	392
3	355	392
4	737	392
5	1500	392
6	1984	392
7	1996	392

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
#s(literal 1 binary64)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
re
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 re #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(cos.f64 im)
im
(cos.f64 im)
im
(exp.f64 re)
re
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(cos.f64 im)
im
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
re
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 im)
im

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
re
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 re #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(cos.f64 im)
im
(cos.f64 im)
im
(exp.f64 re)
re
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
re
#s(literal 1 binary64)
(cos.f64 im)
im
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(*.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 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
re
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 im)
im

Results

158.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 136 to 22 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 114.0ms (86.8% of total)

ival-add: 9.0ms (6.9% of total)

ival-cos: 6.0ms (4.6% of total)

ival-exp: 2.0ms (1.5% of total)

const: 1.0ms (0.8% of total)

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

series28.0ms (0.4%)

Counts

11 → 168

Calls

Call 1

Inputs
#<alt (*.f64 re #s(literal 1/6 binary64))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))>
#<alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))>
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))>
#<alt (+.f64 re #s(literal 1 binary64))>
#<alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))>
#<alt (*.f64 re #s(literal 1/2 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 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 1/6 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 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 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 1/6 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 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.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 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(literal 1/6 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 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (cos.f64 im)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (+.f64 (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (cos.f64 im)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 im) re)) (.f64 #s(literal -1/6 binary64) (cos.f64 im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)) re)) (*.f64 #s(literal -1/6 binary64) (cos.f64 im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.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))) re)) (.f64 #s(literal -1/6 binary64) (cos.f64 im)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.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 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.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 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))) (.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 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.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 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 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) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<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 (+.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 (.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 binary64) (.f64 #s(literal 1/2 binary64) re)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (.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 binary64) (.f64 #s(literal 1/2 binary64) re))))) (.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 binary64) (.f64 #s(literal 1/2 binary64) re))))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (.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 binary64) (.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)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.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 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	(* (+ re 1) (cos im))
2.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
1.0ms	re	@	-inf	(* re 1/6)
1.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re 1/2)))) (cos im))

rewrite238.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`log1p-expm1-u`
197×	`expm1-log1p-u`
195×	`associate-r`
193×	`add-cube-cbrt`
192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	278
1	425	234
2	6301	234

Stop Event

1×	node limit

Counts

11 → 274

Calls

Call 1

Inputs
(*.f64 re #s(literal 1/6 binary64))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 re #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(*.f64 re #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re #s(literal 1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 re #s(literal 1/2 binary64)))
(-.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) (.f64 (.f64 re #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 re (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re))))
(/.f64 (.f64 re (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) re) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(pow.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (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 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(+.f64 re (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) re)
(-.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 re (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) re)
(-.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (.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 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (.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 re (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) re))))
(/.f64 (.f64 re (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) re) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(pow.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(-.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re))) (+.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re))) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) re)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))

simplify310.0ms (4%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg`
497×	`associate-r`
433×	`associate-l`
416×	`fma-define`
317×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	732	14647
1	1900	13419
2	6687	13388

Stop Event

1×	node limit

Counts

442 → 456

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))

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

eval165.0ms (2.1%)

Compiler: Compiled 12416 to 2387 computations (80.8% saved)

prune278.0ms (3.5%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	704	12	716
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	706	17	723

Accuracy

100.0%

Counts

723 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(pow.f64 (E.f64) re)
	70.6%	(+.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)) (cos.f64 im))
	34.9%	(+.f64 re #s(literal 1 binary64))
	47.3%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
▶	44.7%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	34.8%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	57.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
	37.2%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓	57.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	45.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
	44.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓	70.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	4.0%	(*.f64 re (cos.f64 im))
✓	71.5%	(exp.f64 re)
✓	56.1%	(cos.f64 im)
▶	34.2%	#s(literal 1 binary64)

Compiler

Compiled 307 to 227 computations (26.1% saved)

localize241.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 im))
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 re (cos.f64 im))
✓	cost-diff	-12544	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(pow.f64 (E.f64) re)
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
✓	accuracy	99.3%	(+.f64 #s(literal 1 binary64) (cos.f64 im))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.8%	(*.f64 re (cos.f64 im))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	99.9%	(pow.f64 (E.f64) re)

Rules

948×	`fma-neg`
623×	`sub-neg`
527×	`associate-+r+`
487×	`distribute-lft-in`
460×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	225
1	47	203
2	94	197
3	238	197
4	614	197
5	2510	197
6	5541	197
7	7909	197

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(pow.f64 (E.f64) re)
(E.f64)
re
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
re
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 re (cos.f64 im))
re
(cos.f64 im)
im
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (cos.f64 im) #s(literal 0 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(cos.f64 im)
(+.f64 #s(literal 1 binary64) (cos.f64 im))
(cos.f64 im)
im

Results

64.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

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

ival-add: 9.0ms (25.9% of total)

ival-mult: 8.0ms (23% of total)

ival-pow: 7.0ms (20.1% of total)

ival-cos: 6.0ms (17.2% of total)

ival-e: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.9% of total)

const: 1.0ms (2.9% of total)

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

series9.0ms (0.1%)

Counts

7 → 60

Calls

Call 1

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

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 re (log.f64 (E.f64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 (log.f64 (E.f64)) (.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 (log.f64 (E.f64)) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))))))>
#<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 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 #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 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 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<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))>

Calls

24 calls:

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

rewrite158.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`log1p-expm1-u`
754×	`expm1-log1p-u`
158×	`add-log-exp`
157×	`add-exp-log`
155×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	132
1	351	96
2	5071	96

Stop Event

1×	node limit

Counts

7 → 195

Calls

Call 1

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

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

simplify303.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

651×	`times-frac`
426×	`fma-neg`
358×	`cancel-sign-sub-inv`
285×	`distribute-rgt-in`
284×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	7759
1	1257	7090
2	4639	7039

Stop Event

1×	node limit

Counts

255 → 284

Calls

Call 1

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

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

eval216.0ms (2.7%)

Compiler: Compiled 7524 to 1578 computations (79% saved)

prune82.0ms (1%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	518	5	523
Fresh	1	6	7
Picked	1	4	5
Done	0	5	5
Total	520	20	540

Accuracy

100.0%

Counts

540 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.5%	(pow.f64 (E.f64) re)
▶	70.6%	(+.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)) (cos.f64 im))
▶	7.6%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
	34.9%	(+.f64 re #s(literal 1 binary64))
	47.3%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	44.7%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
▶	44.7%	(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
▶	34.8%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	57.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	57.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	45.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
	44.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓	70.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	4.0%	(*.f64 re (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	4.0%	(*.f64 re (cos.f64 im))
✓	71.5%	(exp.f64 re)
✓	56.1%	(cos.f64 im)
▶	3.6%	re
✓	34.2%	#s(literal 1 binary64)

Compiler

Compiled 330 to 242 computations (26.7% saved)

localize365.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	cost-diff	-6144	(*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	cost-diff	-6144	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))
✓	cost-diff	0	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im))
✓	cost-diff	128	(+.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)) (cos.f64 im))
✓	accuracy	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓	accuracy	100.0%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	accuracy	89.1%	(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓	accuracy	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
✓	accuracy	100.0%	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
✓	accuracy	99.8%	(*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)) (cos.f64 im))
✓	accuracy	99.8%	(.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im))

Rules

2039×	`fma-define`
916×	`cube-prod`
556×	`distribute-lft-in`
550×	`distribute-rgt-in`
335×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	387
1	62	355
2	126	355
3	296	355
4	763	355
5	2472	355
6	3325	355
7	4707	355
8	5177	355
9	5659	355
10	6245	355
11	6972	355

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

176.0ms

256×

valid

Compiler

Compiled 126 to 23 computations (81.7% saved)

Precisions

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

ival-mult: 12.0ms (34% of total)

ival-add: 8.0ms (22.6% of total)

ival-cos: 6.0ms (17% of total)

ival-fma: 3.0ms (8.5% of total)

ival-pow: 3.0ms (8.5% of total)

ival-div: 2.0ms (5.7% of total)

const: 1.0ms (2.8% of total)

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

series34.0ms (0.4%)

Counts

15 → 138

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
7.0ms	im	@	inf	(* -1/2 (* (pow im 2) re))
3.0ms	re	@	0	(* (* re (+ (* re 1/2) 1)) (cos im))
1.0ms	im	@	0	(+ (* (* re (+ (* re 1/2) 1)) (cos im)) (cos im))
1.0ms	im	@	inf	(* (* re (+ (* re 1/2) 1)) (cos im))
1.0ms	im	@	0	(* (* re (+ (* re 1/2) 1)) (cos im))

rewrite303.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`log1p-expm1-u`
207×	`associate-r`
205×	`expm1-log1p-u`
202×	`add-cube-cbrt`
200×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	358
1	448	300
2	6582	300

Stop Event

1×	node limit

Counts

15 → 386

Calls

Call 1

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

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

simplify457.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-neg`
454×	`associate-r`
383×	`associate-l`
300×	`exp-prod`
264×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	772	17916
1	1755	16150
2	5925	16130

Stop Event

1×	node limit

Counts

524 → 495

Calls

Call 1

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

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

eval88.0ms (1.1%)

Compiler: Compiled 10254 to 1949 computations (81% saved)

prune393.0ms (5%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	611	4	615
Fresh	1	5	6
Picked	3	2	5
Done	1	8	9
Total	616	19	635

Accuracy

100.0%

Counts

635 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.5%	(pow.f64 (E.f64) re)
	70.6%	(+.f64 (.f64 (+.f64 (.f64 (*.f64 re #s(literal 1/2 binary64)) re) re) (cos.f64 im)) (cos.f64 im))
	7.6%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
	34.9%	(+.f64 re #s(literal 1 binary64))
	47.3%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	44.7%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
✓	44.7%	(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
	44.3%	(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
	34.8%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
	57.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	57.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	45.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
	44.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓	70.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	71.5%	(exp.f64 re)
✓	56.1%	(cos.f64 im)
✓	3.6%	re
✓	34.2%	#s(literal 1 binary64)

Compiler

Compiled 435 to 207 computations (52.4% saved)

regimes49.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 re (cos.f64 im))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(+.f64 (.f64 (+.f64 (.f64 (*.f64 re #s(literal 1/2 binary64)) re) re) (cos.f64 im)) (cos.f64 im))
(+.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)) (cos.f64 im))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 binary64)) (cos.f64 im)))))

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

Calls

5 calls:

11.0ms	im
10.0ms	(exp.f64 re)
10.0ms	re
8.0ms	(cos.f64 im)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

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)

regimes41.0ms (0.5%)

Counts

24 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 re (cos.f64 im))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))

Outputs
(exp.f64 re)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(exp.f64 re)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))

Calls

4 calls:

10.0ms	im
8.0ms	(cos.f64 im)
7.0ms	re
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.1%	4	`re`
86.0%	2	`im`
93.8%	3	`(exp.f64 re)`
86.4%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.1%)

Counts

21 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 re (cos.f64 im))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))

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

Calls

1 calls:

7.0ms

re

Results

Accuracy	Segments	Branch
97.3%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes86.0ms (1.1%)

Counts

20 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 re (cos.f64 im))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))

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

Calls

2 calls:

80.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.8%	3	`(exp.f64 re)`
93.8%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 re (cos.f64 im))

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

Calls

2 calls:

5.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.4%	3	`re`
93.4%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(cos.f64 im)

Outputs
(cos.f64 im)
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.5%	2	`im`
64.9%	2	`(cos.f64 im)`
69.0%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
47.3%	1	`im`
47.3%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
44.7%	1	`re`
44.7%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
44.3%	1	`re`
44.3%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
37.0%	2	`re`
36.8%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
34.9%	1	`im`
34.9%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -20.1b remaining (-47.6%)

Threshold costs -20.1b (-47.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
34.2%	1	`im`
34.2%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch51.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3328362108962054e+97	9.077422486873803e+109
16.0ms	3.3054705795341513e-8	149.93896686875405
15.0ms	-0.47687292108894813	-9.082532357617041e-10

Results

31.0ms

464×

valid

Compiler

Compiled 632 to 474 computations (25% saved)

Precisions

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

ival-cos: 11.0ms (56.9% of total)

ival-exp: 4.0ms (20.7% of total)

ival-mult: 4.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.535890642051279e+149	1.2440975566911652e+158
16.0ms	3.3054705795341513e-8	149.93896686875405
15.0ms	-0.47687292108894813	-9.082532357617041e-10

Results

28.0ms

448×

valid

Compiler

Compiled 572 to 429 computations (25% saved)

Precisions

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

ival-cos: 9.0ms (53.8% of total)

ival-exp: 4.0ms (23.9% of total)

ival-mult: 3.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

bsearch135.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3054705795341513e-8	149.93896686875405
14.0ms	-0.47687292108894813	-9.082532357617041e-10

Results

19.0ms

304×

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

Precisions

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

ival-cos: 6.0ms (52.1% of total)

ival-exp: 3.0ms (26% of total)

ival-mult: 2.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000330547063	1.3111909208808796e+65
0.0ms	0.9999999999989065	1.0

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.4533594700664685e+36	8.661117722465523e+36

Results

5.0ms

80×

valid

Compiler

Compiled 117 to 89 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 2.0ms (66.9% of total)

ival-exp: 1.0ms (33.4% of total)

ival-mult: 1.0ms (33.4% of total)

const: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	528.0356912922299	984.1187153597883

Results

4.0ms

64×

valid

Compiler

Compiled 76 to 61 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (43.6% of total)

ival-cos: 1.0ms (43.6% of total)

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

const: 0.0ms (0% of total)

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	622
1	107	621
2	110	621
3	113	617
4	114	617
5	115	617

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -8070450532247929/4611686018427387904 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 7378697629483821/4611686018427387904 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -700976274800963/73786976294838206464 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5188146770730811/2305843009213693952 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal 2999999999999999979687959532377473024 binary64)) (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal 550 binary64)) (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))))
(if (<=.f64 re #s(literal -8070450532247929/4611686018427387904 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 7378697629483821/4611686018427387904 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -8070450532247929/4611686018427387904 binary64)) (exp.f64 re) (if (or (<=.f64 re #s(literal 7378697629483821/4611686018427387904 binary64)) (not (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -8070450532247929/4611686018427387904 binary64)) (not (or (<=.f64 re #s(literal 7378697629483821/4611686018427387904 binary64)) (not (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))))) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))))
(if (or (<=.f64 re #s(literal -8070450532247929/4611686018427387904 binary64)) (and (not (<=.f64 re #s(literal 7378697629483821/4611686018427387904 binary64))) (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))))
(if (<=.f64 re #s(literal -700976274800963/73786976294838206464 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5188146770730811/2305843009213693952 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -700976274800963/73786976294838206464 binary64)) (not (<=.f64 re #s(literal 5188146770730811/2305843009213693952 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal 2999999999999999979687959532377473024 binary64)) (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal 550 binary64)) (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.3s (16%)

Rules

961×	`log1p-expm1-u`
595×	`fma-neg`
571×	`distribute-lft-in`
551×	`fma-neg`
500×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	732	14647
1	1900	13419
2	6687	13388
0	29	358
1	448	300
2	6582	300
0	772	17916
1	1755	16150
2	5925	16130
0	310	3260
1	582	3109
2	1858	3068
3	5320	3051

Stop Event

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

Compiler

Compiled 291 to 135 computations (53.6% saved)

preprocess110.0ms (1.4%)

Remove: (abs im)
Compiler: Compiled 408 to 172 computations (57.8% saved)

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

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

analyze0.0ms (0%)

sample1.4s (18.4%)

preprocess57.0ms (0.7%)

explain67.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.4%)

series6.0ms (0.1%)

rewrite203.0ms (2.6%)

simplify153.0ms (2%)

eval29.0ms (0.4%)

prune25.0ms (0.3%)

localize240.0ms (3.1%)

series28.0ms (0.4%)

rewrite238.0ms (3%)

simplify310.0ms (4%)

eval165.0ms (2.1%)

prune278.0ms (3.5%)

localize241.0ms (3.1%)

series9.0ms (0.1%)

rewrite158.0ms (2%)

simplify303.0ms (3.9%)

eval216.0ms (2.7%)

prune82.0ms (1%)

localize365.0ms (4.7%)

series34.0ms (0.4%)

rewrite303.0ms (3.9%)

simplify457.0ms (5.8%)

eval88.0ms (1.1%)

prune393.0ms (5%)

regimes49.0ms (0.6%)

regimes41.0ms (0.5%)

regimes8.0ms (0.1%)

regimes86.0ms (1.1%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch51.0ms (0.7%)

bsearch48.0ms (0.6%)

bsearch135.0ms (1.7%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch7.0ms (0.1%)

simplify64.0ms (0.8%)

soundness1.3s (16%)

preprocess110.0ms (1.4%)

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