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 (22.3%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 758.0ms

ival-cos: 406.0ms (53.6% of total)

ival-mult: 205.0ms (27% of total)

ival-exp: 138.0ms (18.2% of total)

const: 7.0ms (0.9% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess55.0ms (0.9%)

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)

explain58.0ms (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

41.0ms

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 (51.6% of total)

ival-exp: 6.0ms (28.2% of total)

ival-mult: 4.0ms (18.8% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(cos.f64 im)
✓	cost-diff	(exp.f64 re)
✓	cost-diff	(*.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

localize27.0ms (0.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) (cos.f64 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: 10.0ms

ival-cos: 6.0ms (58.3% of total)

ival-exp: 2.0ms (19.4% of total)

ival-mult: 2.0ms (19.4% 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 (exp.f64 re)>
#<alt (cos.f64 im)>

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

Calls

12 calls:

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

rewrite379.0ms (5.9%)

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

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

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	3260
1	582	3109
2	1858	3068
3	5317	3051

Stop Event

1×	node limit

Counts

133 → 159

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) 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))))))
#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))))
(+.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 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)))
(+.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)))

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 (cos.f64 im) re) #s(literal 1/2 binary64)))))
(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) 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))
#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))
(+.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 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 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.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 (sqrt.f64 (exp.f64 re)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.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)
(+.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)

eval36.0ms (0.6%)

Compiler: Compiled 1898 to 539 computations (71.6% saved)

prune23.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	153	6	159
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	7	160

Accuracy

100.0%

Counts

160 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))
▶	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	66.0%	(.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))
▶	62.5%	(.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))
▶	71.0%	(exp.f64 re)
▶	51.1%	(cos.f64 im)

Compiler

Compiled 125 to 91 computations (27.2% saved)

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 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	-128	(exp.f64 re)
	cost-diff	0	(cos.f64 im)
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 re))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))

Rules

976×	`fma-define`
605×	`unsub-neg`
523×	`distribute-neg-in`
435×	`distribute-lft-in`
428×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	334
1	47	286
2	99	262
3	214	262
4	437	262
5	975	262
6	2123	262
7	4914	262
8	6716	262
9	7922	262

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 re))
#s(literal 1 binary64)
(exp.f64 re)
re
(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 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 re) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 re)) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 re) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(+.f64 #s(literal 1 binary64) (exp.f64 re))
#s(literal 1 binary64)
(exp.f64 re)
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 re) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
re
(cos.f64 im)
im
(cos.f64 im)
im
(exp.f64 re)
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 re) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.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

localize92.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 re))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))

Results

37.0ms	188×	0	valid
29.0ms	68×	1	valid

Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 10.0ms (32.5% of total)

ival-add: 7.0ms (22.7% of total)

ival-cos: 6.0ms (19.5% of total)

ival-exp: 3.0ms (9.7% of total)

backward-pass: 3.0ms (9.7% of total)

ival-sub: 2.0ms (6.5% of total)

const: 1.0ms (3.2% of total)

series18.0ms (0.3%)

Counts

9 → 136

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite167.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`log1p-expm1-u`
850×	`expm1-log1p-u`
154×	`add-exp-log`
154×	`add-log-exp`
153×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	195
1	343	155
2	4953	155

Stop Event

1×	node limit

Counts

9 → 251

Calls

Call 1

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

simplify170.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac`
365×	`associate-r`
364×	`fma-neg`
321×	`fma-define`
298×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	11027
1	1473	9875
2	5389	9799

Stop Event

1×	node limit

Counts

387 → 385

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

Outputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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))
(*.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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (exp.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (exp.f64 re))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (exp.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (exp.f64 re) #s(literal -1/2 binary64))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
#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))))
(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))
(exp.f64 re)
(exp.f64 re)
(exp.f64 re)
(exp.f64 re)
(exp.f64 re)
(exp.f64 re)
(exp.f64 re)
(exp.f64 re)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) re)
(+.f64 re #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 2 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 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 2 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 2 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 (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 re (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 re (cos.f64 im))
(*.f64 (cos.f64 im) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 (cos.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #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 -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) re))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) re))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #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 #s(literal 1 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 re #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) re))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #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) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 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 #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 #s(literal 1/2 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 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)))
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(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 (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))
(+.f64 (cos.f64 im) (.f64 (cos.f64 im) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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 (cos.f64 im) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 im))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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 (.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)))))
(*.f64 (cos.f64 im) (fma.f64 re (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))
(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)))))
(/.f64 (.f64 (cos.f64 im) (+.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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 (cos.f64 im) (/.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 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(.f64 (cos.f64 im) (/.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))) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (.f64 (cos.f64 im) (-.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 (cos.f64 im) (/.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 (.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))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 (cos.f64 im) (/.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 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(.f64 (cos.f64 im) (/.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))) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (.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))) (cos.f64 im)) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (cos.f64 im) (/.f64 (-.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))))))
(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))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(log.f64 (pow.f64 (exp.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 (*.f64 re #s(literal 1/2 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)))
(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))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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)))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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)))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))
(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 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 re #s(literal 1/2 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)))

eval326.0ms (5.1%)

Compiler: Compiled 10119 to 1884 computations (81.4% saved)

prune125.0ms (2%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	694	11	705
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	694	18	712

Accuracy

100.0%

Counts

712 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(+.f64 re #s(literal 1 binary64))
	39.5%	(+.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)))))))
▶	36.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	27.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	66.0%	(.f64 (-.f64 (+.f64 #s(literal 2 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)) (cos.f64 im))
	51.8%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))
▶	51.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
	28.2%	(.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)))))
✓	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	66.0%	(.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))
	35.1%	(.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)))))
✓	62.5%	(.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))
▶	3.6%	(*.f64 (cos.f64 im) re)
✓	71.0%	(exp.f64 re)
✓	51.1%	(cos.f64 im)
▶	27.3%	#s(literal 1 binary64)

Compiler

Compiled 334 to 247 computations (26% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 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 (cos.f64 im) re)
✓	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	-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))

Rules

745×	`distribute-lft-in`
697×	`distribute-rgt-in`
695×	`sub-neg`
590×	`fma-neg`
563×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	452
1	68	382
2	167	376
3	415	376
4	1375	376
5	4450	376
6	7567	376

Stop Event

1×	node limit

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
#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 (cos.f64 im) re)
(cos.f64 im)
im
re
(*.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
(.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
#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 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(cos.f64 im)
im
re
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (-.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 (cos.f64 im) #s(literal 0 binary64)))
(*.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)
(-.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

localize162.0ms (2.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	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	99.2%	(+.f64 #s(literal 1 binary64) (cos.f64 im))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.8%	(*.f64 (cos.f64 im) re)
✓	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 #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 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	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))

Results

71.0ms

256×

valid

Compiler

Compiled 138 to 23 computations (83.3% saved)

Precisions

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

ival-add: 14.0ms (34.8% of total)

ival-mult: 13.0ms (32.3% of total)

ival-cos: 6.0ms (14.9% of total)

...c/correct-round.rkt:121:19: 5.0ms (12.4% of total)

ival-sub: 1.0ms (2.5% of total)

const: 1.0ms (2.5% of total)

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

series20.0ms (0.3%)

Counts

10 → 148

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

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

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
1.0ms	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 (+ 1/2 (* re 1/6)))
0.0ms	re	@	-inf	(* re (+ 1/2 (* re 1/6)))

rewrite219.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`log1p-expm1-u`
229×	`expm1-log1p-u`
222×	`add-cube-cbrt`
221×	`add-exp-log`
221×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	267
1	487	207
2	7473	207

Stop Event

1×	node limit

Counts

10 → 285

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

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

simplify352.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

530×	`associate-r`
509×	`distribute-rgt-in`
507×	`distribute-lft-in`
493×	`associate-l`
478×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	779	14752
1	2054	14119

Stop Event

1×	node limit

Counts

433 → 469

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))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(*.f64 #s(literal 1/6 binary64) re)
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/6 binary64) re)
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 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)))
(*.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))))))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
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re
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(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (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)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (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)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) (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)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 im) (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)))

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

eval103.0ms (1.6%)

Compiler: Compiled 13068 to 2630 computations (79.9% saved)

prune274.0ms (4.3%)

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	745	4	749
Fresh	1	6	7
Picked	0	5	5
Done	0	6	6
Total	746	21	767

Accuracy

100.0%

Counts

767 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
	27.8%	(+.f64 re #s(literal 1 binary64))
▶	39.5%	(+.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)))))))
✓	36.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	27.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	66.0%	(.f64 (-.f64 (+.f64 #s(literal 2 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)) (cos.f64 im))
▶	51.8%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))
▶	3.6%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)) re)
✓	51.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	37.7%	(.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)))))
✓	66.0%	(.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))
	35.1%	(.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)))))
✓	62.5%	(.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))
✓	3.6%	(*.f64 (cos.f64 im) re)
✓	71.0%	(exp.f64 re)
✓	51.1%	(cos.f64 im)
▶	3.6%	re
✓	27.3%	#s(literal 1 binary64)

Compiler

Compiled 352 to 259 computations (26.4% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(cos.f64 im)
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) (cos.f64 im))
	cost-diff	0	(cos.f64 im)
	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 im))
	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)) re)
	cost-diff	-12544	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	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	(*.f64 re #s(literal 1/6 binary64))
	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))

Rules

601×	`associate-+l-`
529×	`unsub-neg`
463×	`associate-+r-`
379×	`distribute-rgt-neg-in`
362×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	670
1	71	526
2	194	502
3	528	502
4	2397	502
5	5858	502
6	6998	502

Stop Event

1×	node limit

Calls

Call 1

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

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

localize203.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) (cos.f64 im))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.8%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)) re)
	accuracy	99.5%	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
	accuracy	99.2%	(+.f64 #s(literal 1 binary64) (cos.f64 im))
	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
	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))
✓	accuracy	100.0%	(.f64 (-.f64 (+.f64 #s(literal 2 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)) (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))

Results

82.0ms

256×

valid

Compiler

Compiled 198 to 24 computations (87.9% saved)

Precisions

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

ival-mult: 17.0ms (42.7% of total)

ival-add: 8.0ms (20.1% of total)

ival-cos: 6.0ms (15.1% of total)

ival-sub: 4.0ms (10% of total)

...c/correct-round.rkt:121:19: 4.0ms (10% of total)

const: 1.0ms (2.5% of total)

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

series30.0ms (0.5%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
22.0ms	re	@	inf	(+ 1 (+ re 1))
0.0ms	im	@	0	(* (- (+ 2 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) 1) (cos im))
0.0ms	re	@	inf	(* (- (+ 2 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) 1) (cos im))
0.0ms	re	@	-inf	(* (- (+ 2 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) 1) (cos im))
0.0ms	im	@	inf	(* (- (+ 2 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) 1) (cos im))

rewrite184.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log1p-expm1-u`
231×	`expm1-log1p-u`
221×	`add-cube-cbrt`
220×	`add-exp-log`
220×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	167
1	483	111
2	7588	111

Stop Event

1×	node limit

Counts

5 → 153

Calls

Call 1

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

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

simplify298.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

621×	`times-frac`
311×	`fma-define`
286×	`associate-r`
265×	`distribute-lft-in`
262×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	7871
1	1227	7442
2	4501	7429

Stop Event

1×	node limit

Counts

249 → 254

Calls

Call 1

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

Outputs
re
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re (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)) (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 (+.f64 (.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 (+.f64 (*.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 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 re #s(literal -1/2 binary64))) re)
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 re (cos.f64 im))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(*.f64 re (cos.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(fma.f64 re (cos.f64 im) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) #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 -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) re))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) re))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #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 #s(literal 1 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 re #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) re))
(+.f64 (.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 (+.f64 re #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 re #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) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) re)
(+.f64 re #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) re)
(+.f64 re #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) re)
(+.f64 re #s(literal 2 binary64))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(+.f64 re #s(literal 2 binary64))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(+.f64 re #s(literal 2 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) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 #s(literal 1/2 binary64) re) (cos.f64 im)))))
(fma.f64 re (.f64 (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(+.f64 (cos.f64 im) (.f64 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 (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))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (cos.f64 im)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im))
(.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))))
(.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 (.f64 (cos.f64 im) #s(literal 1/2 binary64)) re)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (cos.f64 im) #s(literal 1/6 binary64) (.f64 (cos.f64 im) (/.f64 #s(literal 1/2 binary64) 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))))))
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eval104.0ms (1.6%)

Compiler: Compiled 15079 to 2777 computations (81.6% saved)

prune123.0ms (1.9%)

Pruning

23 alts after pruning (7 fresh and 16 done)

	Pruned	Kept	Total
New	824	2	826
Fresh	0	5	5
Picked	0	5	5
Done	0	11	11
Total	824	23	847

Accuracy

100.0%

Counts

847 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
	27.8%	(+.f64 re #s(literal 1 binary64))
✓	39.5%	(+.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)))))))
✓	36.5%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	27.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	65.6%	(.f64 (-.f64 (+.f64 #s(literal 2 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 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	66.0%	(.f64 (-.f64 (+.f64 #s(literal 2 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)) (cos.f64 im))
✓	51.8%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) (cos.f64 im))
✓	3.6%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)) re)
	3.6%	(*.f64 (+.f64 (+.f64 (cos.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)) re)
✓	51.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	51.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	37.7%	(.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)))))
✓	66.0%	(.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))
	35.1%	(.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)))))
✓	62.5%	(.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))
✓	3.6%	(*.f64 (cos.f64 im) re)
✓	71.0%	(exp.f64 re)
✓	51.1%	(cos.f64 im)
✓	3.6%	re
✓	27.3%	#s(literal 1 binary64)

Compiler

Compiled 485 to 242 computations (50.1% saved)

regimes43.0ms (0.7%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes32.0ms (0.5%)

Counts

22 → 4

Calls

Call 1

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

Outputs
(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))
(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:

9.0ms	re
7.0ms	(exp.f64 re)
7.0ms	im
7.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
97.4%	4	`re`
81.5%	2	`im`
95.1%	3	`(exp.f64 re)`
81.9%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Counts

17 → 4

Calls

Call 1

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

6.0ms

re

Results

Accuracy	Segments	Branch
96.9%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes144.0ms (2.3%)

Counts

16 → 3

Calls

Call 1

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

139.0ms	re
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.8%	3	`(exp.f64 re)`
94.8%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.6%	3	`re`
94.6%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
59.9%	2	`im`
59.9%	2	`(cos.f64 im)`
63.3%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes127.0ms (2%)

Counts

5 → 1

Calls

Call 1

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

124.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
39.5%	1	`im`
39.5%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
36.5%	1	`im`
36.5%	1	`re`

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
27.8%	1	`re`
27.8%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -15.7b remaining (-33.7%)

Threshold costs -15.7b (-33.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch73.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	5.110025965551116e+102	4.917610005113905e+105
42.0ms	0.0029394413857513025	8341753713.157507
15.0ms	-8300.273482498505	-0.012729462860959485

Results

55.0ms

432×

valid

Compiler

Compiled 660 to 495 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 35.0ms (82% of total)

ival-exp: 4.0ms (9.4% of total)

ival-mult: 3.0ms (7% of total)

const: 0.0ms (0% of total)

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

bsearch121.0ms (1.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
86.0ms	4.082995736247059e+146	2.536180598513592e+158
16.0ms	0.0029394413857513025	8341753713.157507
16.0ms	-8300.273482498505	-0.012729462860959485

Results

103.0ms

464×

valid

Compiler

Compiled 592 to 444 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-cos: 81.0ms (89.3% of total)

ival-exp: 6.0ms (6.6% of total)

ival-mult: 3.0ms (3.3% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0029394413857513025	8341753713.157507
16.0ms	-8300.273482498505	-0.012729462860959485

Results

23.0ms

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: 7.0ms (56.1% of total)

ival-exp: 3.0ms (24% of total)

ival-mult: 2.0ms (16% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.4%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000431296856
24.0ms	0.9999999999828653	0.9999999999999883

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.173080028651271e-24	5.827678248497655e-22

Results

8.0ms

112×

valid

Compiler

Compiled 159 to 121 computations (23.9% saved)

Precisions

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

ival-cos: 3.0ms (64.2% of total)

ival-exp: 1.0ms (21.4% of total)

ival-mult: 1.0ms (21.4% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`if-if-or-not`
9×	`*-commutative`
8×	`not-or`
6×	`+-commutative`
4×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	513
1	97	511
2	103	511
3	109	503
4	111	503
5	113	503

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -7566047373982433/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3098476543630901/72057594037927936 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)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 -7782220156096217/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3602879701896397/144115188075855872 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 -7493989779944505/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1988789595446811/576460752303423488 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 1125899906831365/1125899906842624 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal 3083808950221005/5316911983139663491615228241121378304 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 re #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -7566047373982433/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3098476543630901/72057594037927936 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)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 -7566047373982433/72057594037927936 binary64)) (exp.f64 re) (if (or (<=.f64 re #s(literal 3098476543630901/72057594037927936 binary64)) (not (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)))) (.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)))))))) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -7566047373982433/72057594037927936 binary64)) (not (or (<=.f64 re #s(literal 3098476543630901/72057594037927936 binary64)) (not (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 (or (<=.f64 re #s(literal -7566047373982433/72057594037927936 binary64)) (and (not (<=.f64 re #s(literal 3098476543630901/72057594037927936 binary64))) (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 -7782220156096217/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3602879701896397/144115188075855872 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 -7782220156096217/576460752303423488 binary64)) (exp.f64 re) (if (or (<=.f64 re #s(literal 3602879701896397/144115188075855872 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 -7782220156096217/576460752303423488 binary64)) (not (or (<=.f64 re #s(literal 3602879701896397/144115188075855872 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 -7782220156096217/576460752303423488 binary64)) (and (not (<=.f64 re #s(literal 3602879701896397/144115188075855872 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 -7493989779944505/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 1988789595446811/576460752303423488 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -7493989779944505/576460752303423488 binary64)) (not (<=.f64 re #s(literal 1988789595446811/576460752303423488 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 1125899906831365/1125899906842624 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 1125899906831365/1125899906842624 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 1 binary64)))) (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal 3083808950221005/5316911983139663491615228241121378304 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 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness318.0ms (5%)

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	3260
1	582	3109
2	1858	3068
3	5317	3051

Stop Event

1×	fuel
1×	node limit

Compiler

Compiled 225 to 106 computations (52.9% saved)

preprocess59.0ms (0.9%)

Remove: (abs im)
Compiler: Compiled 340 to 156 computations (54.1% saved)

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

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

analyze0.0ms (0%)

sample1.4s (22.3%)

preprocess55.0ms (0.9%)

explain58.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize27.0ms (0.4%)

series6.0ms (0.1%)

rewrite379.0ms (5.9%)

simplify99.0ms (1.5%)

eval36.0ms (0.6%)

prune23.0ms (0.4%)

simplify103.0ms (1.6%)

localize92.0ms (1.4%)

series18.0ms (0.3%)

rewrite167.0ms (2.6%)

simplify170.0ms (2.7%)

eval326.0ms (5.1%)

prune125.0ms (2%)

simplify77.0ms (1.2%)

localize162.0ms (2.5%)

series20.0ms (0.3%)

rewrite219.0ms (3.4%)

simplify352.0ms (5.5%)

eval103.0ms (1.6%)

prune274.0ms (4.3%)

simplify93.0ms (1.5%)

localize203.0ms (3.2%)

series30.0ms (0.5%)

rewrite184.0ms (2.9%)

simplify298.0ms (4.7%)

eval104.0ms (1.6%)

prune123.0ms (1.9%)

regimes43.0ms (0.7%)

regimes32.0ms (0.5%)

regimes7.0ms (0.1%)

regimes144.0ms (2.3%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes127.0ms (2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch73.0ms (1.1%)

bsearch121.0ms (1.9%)

bsearch35.0ms (0.5%)

bsearch25.0ms (0.4%)

bsearch12.0ms (0.2%)

simplify11.0ms (0.2%)

soundness318.0ms (5%)

preprocess59.0ms (0.9%)

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