Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample722.0ms (14.5%)

Results

694.0ms

8256×

body

256

valid

Bogosity

preprocess12.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 x (/.f64 1 3))

Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (/.f64 1 3))

Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.02%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(+.f64 x 1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 x 1/3)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 x 1/3)
0.0ms	x	@	0	(+.f64 x 1/3)
0.0ms	x	@	-inf	(+.f64 x 1/3)

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`add-sqr-sqrt`
1142×	`*-un-lft-identity`
1098×	`pow1`
1078×	`add-cube-cbrt`
1070×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1384	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))))

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1222×	`distribute-lft-in`
1102×	`distribute-rgt-in`
1036×	`associate-/l*`
914×	`associate-r`
778×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	191	586
2	694	490
3	3237	490

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)

eval7.0ms (0.1%)

Compiler: Compiled 319 to 235 computations (26.3% saved)

prune6.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Error

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.64%	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
▶	28.66%	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
▶	22.8%	(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
✓	0.02%	(+.f64 x 1/3)
	54.65%	x
	45.81%	1/3

Compiler

Compiled 48 to 36 computations (25% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(fma.f64 x x -1/9)
✓	0.03%	(+.f64 x -1/3)
✓	0.11%	(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
✓	21.18%	(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
0.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
0.0ms	x	@	inf	(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
0.0ms	x	@	0	(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))

rewrite105.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`associate-/r*`
1448×	`associate-*l/`
984×	`*-commutative`
828×	`associate-/l*`
676×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	238	36
2	3025	36

Stop Event

1×	node limit

Counts

4 → 312

Calls

Call 1

Inputs
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(+.f64 x -1/3)
(fma.f64 x x -1/9)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) x) (.f64 (/.f64 1 (fma.f64 x x -1/9)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) -1/3) (.f64 (/.f64 1 (fma.f64 x x -1/9)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -1/3) (/.f64 1 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -1/3)) (.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 1/9 (.f64 x -1/3)) (-.f64 1/9 (.f64 x -1/3))))) (+.f64 (fma.f64 x x -1/9) (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 -1/27 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 1/9 (.f64 x -1/3)) 3))) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 1/9 (.f64 x -1/3)) (-.f64 1/9 (.f64 x -1/3)))) (.f64 (.f64 x x) (-.f64 1/9 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x x) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 (.f64 x x) (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (/.f64 (.f64 x x) (+.f64 x -1/3))) (.f64 1 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) x) (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (/.f64 (.f64 x x) (+.f64 x -1/3))) (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x -1/9) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/9 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 1/9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (sqrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (cbrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 (.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 1 (+.f64 (.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 1 (-.f64 (.f64 x x) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (.f64 x x) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) 1) (+.f64 (.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) 1) (-.f64 (.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9)))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))))))

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-l`
1208×	`associate-r`
1202×	`associate-/r*`
742×	`associate-*r/`
716×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	665	8790
1	1921	8302

Stop Event

1×	node limit

Counts

360 → 423

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -9 x) 3)
(+.f64 (.f64 -9 x) (+.f64 3 (.f64 27 (pow.f64 x 2))))
(+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) x) (.f64 (/.f64 1 (fma.f64 x x -1/9)) -1/3))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) -1/3) (.f64 (/.f64 1 (fma.f64 x x -1/9)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)
(*.f64 (+.f64 x -1/3) (/.f64 1 (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 1 (+.f64 x 1/3)))
(.f64 (sqrt.f64 (+.f64 x -1/3)) (.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (-.f64 1/3 x) (/.f64 -1 (fma.f64 x x -1/9)))
(*.f64 -1 (/.f64 -1 (+.f64 x 1/3)))
(.f64 (.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)))
(*.f64 (/.f64 -1 (fma.f64 x x -1/9)) (-.f64 1/3 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (cbrt.f64 (fma.f64 x x -1/9))) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) 1) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) 1) (/.f64 1 (+.f64 x 1/3)))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3))) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (/.f64 -1 (-.f64 1/3 x))) (/.f64 1 (fma.f64 x x -1/9)))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) -1) (/.f64 -1 (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 (+.f64 x -1/3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81)) (+.f64 (*.f64 x x) 1/9))
(.f64 (/.f64 (+.f64 x -1/3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81)) (-.f64 (*.f64 x x) -1/9))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 -1/729 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 x -1/3) (-.f64 (pow.f64 (.f64 x x) 3) 1/729)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (*.f64 x x) 1/9))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 1 (-.f64 (pow.f64 x 3) -1/27)) (+.f64 (+.f64 (.f64 x x) 1/9) (*.f64 x -1/3)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1) (cbrt.f64 (/.f64 -1 (+.f64 x 1/3))))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (-.f64 1/9 (*.f64 x x))) (-.f64 1/3 x))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3)))) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 (.f64 (fma.f64 x x -1/9) (/.f64 1 (fma.f64 x x -1/9))) (-.f64 (pow.f64 x 3) -1/27)) (+.f64 (+.f64 (.f64 x x) 1/9) (.f64 x -1/3)))
(.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 1/9 (.f64 x -1/3)) (-.f64 1/9 (.f64 x -1/3))))) (+.f64 (fma.f64 x x -1/9) (*.f64 x -1/3)))
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(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 1 (neg.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 (+.f64 x 1/3) (+.f64 (*.f64 x x) 1/9)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) -1/9)))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/729) (.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (-.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (.f64 (+.f64 x 1/3) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (*.f64 x x))))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 x 3) 3)) (.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/729) (.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 (+.f64 x 1/3) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (*.f64 x x) 1/9)))))
(/.f64 (.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (neg.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (/.f64 1 (+.f64 x 1/3))) (+.f64 (*.f64 x x) 1/9))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (/.f64 1 (+.f64 x 1/3))) (-.f64 (*.f64 x x) -1/9))
(/.f64 (.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 x 1/3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (/.f64 1 (+.f64 x 1/3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (*.f64 x x) 1/9))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/729) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))) (-.f64 (pow.f64 x 3) -1/27))
(/.f64 (.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/729) (.f64 -1/27 (pow.f64 x 3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) -1) (+.f64 (*.f64 -1 x) -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3))) (sqrt.f64 (fma.f64 x x -1/9)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (+.f64 x -1/3))) (cbrt.f64 (fma.f64 x x -1/9)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 1 (sqrt.f64 (+.f64 x -1/3)))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 1 (-.f64 1/3 x))) (-.f64 1/9 (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1)) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3)))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1)) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1)) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) -1))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))) (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/9 (*.f64 x x))
(+.f64 (*.f64 x x) -1/9)
(-.f64 (*.f64 x x) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(.f64 -1 (-.f64 1/9 (.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (cbrt.f64 (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) 1)
(/.f64 1 (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 (.f64 x x) 1/9))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 1 (+.f64 (*.f64 x x) 1/9)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 1 (-.f64 (*.f64 x x) -1/9)))
(/.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))))
(/.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (.f64 x x) 1/9))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (*.f64 x x) 1/9)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) 1) (+.f64 (*.f64 x x) 1/9))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) 1) (-.f64 (*.f64 x x) -1/9))
(/.f64 (.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (*.f64 x x) 1/9))))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9)))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))

Outputs
3
(+.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x 3)
(+.f64 (.f64 -9 x) (+.f64 3 (.f64 27 (pow.f64 x 2))))
(+.f64 (fma.f64 -9 x 3) (.f64 27 (.f64 x x)))
(+.f64 (fma.f64 -9 x 3) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2)))))
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (.f64 27 (.f64 x x)))))
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (.f64 x (.f64 x 27)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) x) (.f64 (/.f64 1 (fma.f64 x x -1/9)) -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) -1/3) (.f64 (/.f64 1 (fma.f64 x x -1/9)) x))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)
(/.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1)
(/.f64 1 (+.f64 x 1/3))
(*.f64 1 (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (+.f64 x 1/3))
(.f64 (sqrt.f64 (+.f64 x -1/3)) (.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 1 (+.f64 x 1/3))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2))
(/.f64 1 (+.f64 x 1/3))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (+.f64 x 1/3)))
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(/.f64 (.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/729) (.f64 -1/27 (pow.f64 x 3))))
(/.f64 (.f64 (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))) (+.f64 -1/19683 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 1/27 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (+.f64 1/729 (.f64 (pow.f64 x 3) 1/27)))) (/.f64 1 (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) -1) (+.f64 (*.f64 -1 x) -1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3))) (sqrt.f64 (fma.f64 x x -1/9)))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (+.f64 x -1/3))) (cbrt.f64 (fma.f64 x x -1/9)))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 1 (sqrt.f64 (+.f64 x -1/3)))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (+.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 1 (-.f64 1/3 x))) (-.f64 1/9 (*.f64 x x)))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1)) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3)))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(+.f64 x -1/3)
(/.f64 (/.f64 (fma.f64 x x -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (/.f64 (*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)))
(.f64 (/.f64 (fma.f64 x x -1/9) (.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1)) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1)) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (.f64 (sqrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (.f64 (sqrt.f64 (+.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) (sqrt.f64 (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))) (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))) (cbrt.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) (.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) (cbrt.f64 (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 x -1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 x -1/3)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 x -1/3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 x -1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(+.f64 x -1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 x -1/3)
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(+.f64 x -1/3)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(fma.f64 1 x -1/3)
(+.f64 x -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/9 (*.f64 x x))
(fma.f64 x x -1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(-.f64 (*.f64 x x) 1/9)
(fma.f64 x x -1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(fma.f64 x x -1/9)
(*.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(*.f64 1 (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(.f64 -1 (-.f64 1/9 (.f64 x x)))
(fma.f64 x x -1/9)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (sqrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (cbrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(/.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(/.f64 1 (/.f64 1 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))))
(fma.f64 x x -1/9)
(/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)))
(fma.f64 x x -1/9)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))))
(fma.f64 x x -1/9)
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 (.f64 x x) 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 1 (+.f64 (*.f64 x x) 1/9)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 1 (-.f64 (*.f64 x x) -1/9)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))
(/.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (*.f64 x x))))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (.f64 x x) 1/9))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (*.f64 x x) 1/9)))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) 1) (+.f64 (*.f64 x x) 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) 1) (-.f64 (*.f64 x x) -1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1/81 (.f64 (*.f64 x x) 1/9))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9)))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1/9)))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))) (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9)))) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9))) (cbrt.f64 (/.f64 1 (fma.f64 x x -1/9)))))
(pow.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(fma.f64 x x -1/9)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(fma.f64 x x -1/9)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(fma.f64 x x -1/9)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(fma.f64 x x -1/9)
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(fma.f64 x x -1/9)
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 1/27 (pow.f64 x 3))
✓	0.04%	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3)))
✓	0.51%	(*.f64 x 1/3)
✓	27.82%	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series3.0ms (0.1%)

Counts

4 → 39

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
0.0ms	x	@	0	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
0.0ms	x	@	-inf	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
0.0ms	x	@	inf	(*.f64 x 1/3)
0.0ms	x	@	-inf	(*.f64 x 1/3)

rewrite126.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`associate-/r*`
976×	`associate-/l*`
736×	`associate-/r/`
440×	`associate-+l+`
330×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	336	68
2	4515	68

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

Inputs
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(*.f64 x 1/3)
(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3)))
(+.f64 1/27 (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 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(-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (-.f64 1/27 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (-.f64 1/27 (pow.f64 x 3))) (cbrt.f64 (-.f64 1/27 (pow.f64 x 3))))) (cbrt.f64 (-.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1/19683 (pow.f64 x 9)) 1) (+.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1/19683 (pow.f64 x 9)) (sqrt.f64 (+.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))) (sqrt.f64 (+.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1/19683 (pow.f64 x 9)) (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)))) (cbrt.f64 (+.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)))))) (cbrt.f64 (+.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/27 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 28/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 1/27 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x x) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) x 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) 1/27)))))

simplify157.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1012×	`+-commutative`
750×	`associate-r`
698×	`times-frac`
652×	`associate-l`
642×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	511	9109
1	1418	8395
2	7807	8395

Stop Event

1×	node limit

Counts

239 → 312

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
1/27
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(*.f64 1 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (+.f64 1/27 (pow.f64 x 3)))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(.f64 (/.f64 1 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x -1/3)))))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)) (-.f64 -1/27 (pow.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (fma.f64 x (+.f64 x -1/3) 1/9)) (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1/9 (.f64 x x)) 3) (.f64 1/27 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x))) (.f64 (+.f64 1/9 (.f64 x x)) (*.f64 x 1/3))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2))) (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (-.f64 1/729 (pow.f64 x 6))) (+.f64 1/27 (pow.f64 x 3)))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (-.f64 1/19683 (pow.f64 x 9))) (+.f64 1/729 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3)))))
(.f64 (/.f64 (.f64 (+.f64 1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (-.f64 1/531441 (.f64 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))) (-.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))
(.f64 (/.f64 (.f64 (+.f64 1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (+.f64 1/387420489 (pow.f64 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)) 3))) (+.f64 1/531441 (-.f64 (.f64 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))) (.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))))
(.f64 (/.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(.f64 (/.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (+.f64 1/27 (pow.f64 x 3))) -1)
(neg.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(-.f64 (.f64 x x) (-.f64 (.f64 x 1/3) 1/9))
(-.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x 1/3) (fma.f64 -1/3 x (*.f64 x 1/3))) 1/9))
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(exp.f64 (log.f64 (+.f64 1/27 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/27 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/27 (pow.f64 x 3))))
(fma.f64 x (*.f64 x x) 1/27)
(fma.f64 (*.f64 x x) x 1/27)
(fma.f64 1 (pow.f64 x 3) 1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) 1/27)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 x -1/3))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
1/27
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 1 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (+.f64 1/27 (pow.f64 x 3)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (*.f64 (-.f64 -1/27 (pow.f64 x 3)) -1) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (/.f64 1 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 1 (.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9)))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))))
(.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (.f64 1 (.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9)))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))))
(.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)) (-.f64 -1/27 (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 -1/27 (pow.f64 x 3)) -1) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (fma.f64 x (+.f64 x -1/3) 1/9)) (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 1 (.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9)))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))))
(.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (.f64 1 (.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9)))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 -1/9 (.f64 x x)))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (.f64 (*.f64 x x) -1/9))) (fma.f64 x (+.f64 1/3 x) 1/9))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1/9 (.f64 x x)) 3) (.f64 1/27 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x))) (.f64 (+.f64 1/9 (.f64 x x)) (*.f64 x 1/3))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 1/9 (.f64 x x)) 3) (.f64 -1/27 (pow.f64 x 3)))) (+.f64 (fma.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x)) (.f64 1/9 (.f64 x x))) (.f64 (+.f64 1/9 (.f64 x x)) (.f64 1/3 x))))
(.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x x 1/9) 3) (.f64 (pow.f64 x 3) -1/27))) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (fma.f64 1/9 (.f64 x x) (.f64 1/3 (*.f64 x (fma.f64 x x 1/9))))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2))) (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (.f64 1 (.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9)))
(.f64 (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))))
(.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (-.f64 1/729 (pow.f64 x 6))) (+.f64 1/27 (pow.f64 x 3)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (-.f64 1/19683 (pow.f64 x 9))) (+.f64 1/729 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (fma.f64 x (+.f64 x -1/3) 1/9)) (-.f64 1/19683 (pow.f64 x 9))) (+.f64 1/729 (+.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 x (+.f64 x -1/3) 1/9)) (/.f64 (-.f64 1/19683 (pow.f64 x 9)) (+.f64 1/729 (fma.f64 1/27 (pow.f64 x 3) (pow.f64 x 6)))))
(.f64 (/.f64 (.f64 (+.f64 1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (-.f64 1/531441 (.f64 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))) (-.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))
(.f64 (/.f64 (+.f64 1/19683 (pow.f64 x 9)) (/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 6) (.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (pow.f64 x 3) -1/27)))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))) (-.f64 1/729 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) -1/27))))
(.f64 (/.f64 (+.f64 1/19683 (pow.f64 x 9)) (.f64 (-.f64 1/531441 (.f64 (+.f64 (pow.f64 x 3) -1/27) (.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 x 6)))) (fma.f64 x (+.f64 x -1/3) 1/9))) (-.f64 1/729 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(.f64 (/.f64 (.f64 (+.f64 1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))) (+.f64 1/387420489 (pow.f64 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)) 3))) (+.f64 1/531441 (-.f64 (.f64 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))) (.f64 1/729 (.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) 1/27))))))
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(exp.f64 (*.f64 (log.f64 (+.f64 1/27 (pow.f64 x 3))) 1))
(+.f64 (+.f64 (pow.f64 x 3) 28/27) -1)
(+.f64 1/27 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (+.f64 1/27 (pow.f64 x 3))))
(+.f64 (+.f64 (pow.f64 x 3) 28/27) -1)
(+.f64 1/27 (pow.f64 x 3))
(fma.f64 x (*.f64 x x) 1/27)
(+.f64 (+.f64 (pow.f64 x 3) 28/27) -1)
(+.f64 1/27 (pow.f64 x 3))
(fma.f64 (*.f64 x x) x 1/27)
(+.f64 (+.f64 (pow.f64 x 3) 28/27) -1)
(+.f64 1/27 (pow.f64 x 3))
(fma.f64 1 (pow.f64 x 3) 1/27)
(+.f64 (+.f64 (pow.f64 x 3) 28/27) -1)
(+.f64 1/27 (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) 1/27)
(+.f64 (+.f64 (pow.f64 x 3) 28/27) -1)
(+.f64 1/27 (pow.f64 x 3))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(+.f64 1/27 (pow.f64 x 3))
	0.03%	(+.f64 x -1/3)
✓	0.05%	(fma.f64 x (+.f64 x -1/3) 1/9)
✓	27.82%	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))

Compiler

Compiled 35 to 26 computations (25.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
0.0ms	x	@	-inf	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
0.0ms	x	@	inf	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
0.0ms	x	@	-inf	(fma.f64 x (+.f64 x -1/3) 1/9)
0.0ms	x	@	0	(fma.f64 x (+.f64 x -1/3) 1/9)

rewrite69.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`associate-*r/`
1366×	`associate-*l/`
852×	`associate-/r*`
650×	`associate-/l*`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	295	48
2	3618	22

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(fma.f64 x (+.f64 x -1/3) 1/9)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 (*.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (*.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (+.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/9 (*.f64 x (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/9 (*.f64 (*.f64 x (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/3) (+.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) 1) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/9 (*.f64 x -1/3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x -1/3))) 1/81) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x -1/3))) (-.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x -1/3))) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (+.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x -1/3))) (-.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x -1/3))) 1/81) 1) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) 1) (+.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x -1/3))) (-.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))))

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

884×	`associate-/r*`
756×	`associate-+r+`
744×	`unswap-sqr`
716×	`associate-+l+`
704×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1951
1	402	1895
2	1851	1839
3	6616	1835

Stop Event

1×	node limit

Counts

95 → 104

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 x 1/3)
(+.f64 1/3 x)
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) 2/3)
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 (.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (+.f64 1/27 (pow.f64 x 3)))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(neg.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3)))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(+.f64 1/9 (*.f64 x (+.f64 x -1/3)))
(+.f64 1/9 (.f64 (.f64 x (+.f64 x -1/3)) 1))
(+.f64 (.f64 x x) (+.f64 1/9 (.f64 x -1/3)))
(+.f64 (.f64 x -1/3) (+.f64 1/9 (.f64 x x)))
(+.f64 (*.f64 x (+.f64 x -1/3)) 1/9)
(+.f64 (+.f64 1/9 (.f64 x x)) (.f64 x -1/3))
(+.f64 (.f64 (.f64 x (+.f64 x -1/3)) 1) 1/9)
(+.f64 (+.f64 1/9 (.f64 x -1/3)) (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 1)
(*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(*.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) 1/81) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) (-.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) (-.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) 1/81) 1) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) 1) (+.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) (-.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 x -1/3))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 x -1/3)
(+.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(+.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 x)) 2/3)
(+.f64 (exp.f64 (log1p.f64 x)) -2/3)
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 (.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (cbrt.f64 (+.f64 1/27 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (+.f64 1/27 (pow.f64 x 3)))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (cbrt.f64 (+.f64 1/27 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 2)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (+.f64 1/3 x))))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(+.f64 1/3 x)
(neg.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 1/3 (neg.f64 x)) -1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(+.f64 1/9 (*.f64 x (+.f64 x -1/3)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (.f64 (.f64 x (+.f64 x -1/3)) 1))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 (.f64 x x) (+.f64 1/9 (.f64 x -1/3)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 (.f64 x -1/3) (+.f64 1/9 (.f64 x x)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 (*.f64 x (+.f64 x -1/3)) 1/9)
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 (+.f64 1/9 (.f64 x x)) (.f64 x -1/3))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 (.f64 (.f64 x (+.f64 x -1/3)) 1) 1/9)
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 (+.f64 1/9 (.f64 x -1/3)) (.f64 x x))
(fma.f64 x (+.f64 x -1/3) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 1)
(fma.f64 x (+.f64 x -1/3) 1/9)
(*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(fma.f64 x (+.f64 x -1/3) 1/9)
(*.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))
(fma.f64 x (+.f64 x -1/3) 1/9)
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(fma.f64 x (+.f64 x -1/3) 1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) 1/81) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (fma.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3)) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x -1/3) (+.f64 x -1/3)) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x -1/3) (+.f64 x -1/3))) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) (-.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3)) (-.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x -1/3) (+.f64 x -1/3)) 1/81) (.f64 x (*.f64 1/9 (+.f64 x -1/3)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 x (+.f64 x -1/3) -1/9))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (fma.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3)) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x -1/3) (+.f64 x -1/3)) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x -1/3) (+.f64 x -1/3))) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) (-.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3)) (-.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x -1/3) (+.f64 x -1/3)) 1/81) (.f64 x (*.f64 1/9 (+.f64 x -1/3)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 x (+.f64 x -1/3) -1/9))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) 1/81) 1) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (fma.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3)) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x -1/3) (+.f64 x -1/3)) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x -1/3) (+.f64 x -1/3))) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) 1) (+.f64 (.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3))) (-.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 (.f64 x (+.f64 x -1/3)) (.f64 x (+.f64 x -1/3)) (-.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (-.f64 (fma.f64 (.f64 x x) (.f64 (+.f64 x -1/3) (+.f64 x -1/3)) 1/81) (.f64 x (*.f64 1/9 (+.f64 x -1/3)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 x (+.f64 x -1/3) -1/9))))
(pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 3)
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3) 1/3)
(fma.f64 x (+.f64 x -1/3) 1/9)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2))
(fma.f64 x (+.f64 x -1/3) 1/9)
(log.f64 (exp.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(fma.f64 x (+.f64 x -1/3) 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3))
(fma.f64 x (+.f64 x -1/3) 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(exp.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 1))
(fma.f64 x (+.f64 x -1/3) 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)

eval823.0ms (16.5%)

Compiler: Compiled 24361 to 18161 computations (25.5% saved)

prune374.0ms (7.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1068	3	1071
Fresh	0	2	2
Picked	1	0	1
Done	2	1	3
Total	1071	6	1077

Error

Counts

1077 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.51%	(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))
▶	45.71%	(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
▶	44.87%	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
✓	0.02%	(+.f64 x 1/3)
	54.65%	x
	45.81%	1/3

Compiler

Compiled 50 to 35 computations (30% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (.f64 x x) (.f64 x 1/3))
	0.04%	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3)))
	0.51%	(*.f64 x 1/3)
✓	0.97%	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
0.0ms	x	@	0	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
0.0ms	x	@	-inf	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
0.0ms	x	@	inf	(-.f64 (.f64 x x) (.f64 x 1/3))
0.0ms	x	@	0	(-.f64 (.f64 x x) (.f64 x 1/3))

rewrite122.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`associate-*r/`
1122×	`*-commutative`
1072×	`associate-*l/`
524×	`associate-/r*`
322×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	260	34
2	3465	34

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

Inputs
(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(-.f64 (.f64 x x) (.f64 x 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))) (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (+.f64 (*.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))) (fma.f64 -1/3 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) (+.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (+.f64 (*.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))) (+.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) (fma.f64 (neg.f64 x) 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (+.f64 (*.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))) (fma.f64 (neg.f64 x) 1/3 (*.f64 x 1/3))))))) 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simplify168.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1758×	`associate-*r/`
1194×	`associate-*l/`
896×	`fma-def`
594×	`associate-+l+`
504×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	9014
1	1272	7770
2	5533	7730

Stop Event

1×	node limit

Counts

208 → 295

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 -9 (pow.f64 x 3)) x))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 1/3 (+.f64 (.f64 -9 (pow.f64 x 3)) x)))
(/.f64 1/27 (pow.f64 x 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(/.f64 1/27 (pow.f64 x 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(*.f64 -1/3 x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)
(*.f64 1/27 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(*.f64 1 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2))
(*.f64 (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) 1/27)
(.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(*.f64 -1/27 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)) -1/27)
(pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) 2)
(pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 27) -1)
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2)))
(log.f64 (exp.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(log1p.f64 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(+.f64 (.f64 x x) (.f64 x -1/3))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 -1/3 x (.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (+.f64 (fma.f64 -1/3 x (.f64 x 1/3)) (fma.f64 -1/3 x (.f64 x 1/3)))))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (+.f64 (fma.f64 -1/3 x (.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 (neg.f64 x) 1/3 (*.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 (neg.f64 x) 1/3 (.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 (.f64 x -1/3) 1 (.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 (.f64 x -1/3) 1 (*.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/3))) (sqrt.f64 (.f64 x 1/3)) (*.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/3))) (sqrt.f64 (.f64 x 1/3)) (.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (*.f64 x 1/3))))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (.f64 x 1/3))))
(+.f64 (.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (.f64 x 1/3)))
(+.f64 (.f64 x (+.f64 x -1/3)) (+.f64 (fma.f64 -1/3 x (.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))
(+.f64 (.f64 x (+.f64 x -1/3)) (fma.f64 (neg.f64 x) 1/3 (.f64 x 1/3)))
(+.f64 (.f64 x (+.f64 x -1/3)) (fma.f64 (.f64 x -1/3) 1 (*.f64 x 1/3)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x -1/3)))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))) (sqrt.f64 (.f64 x (+.f64 x -1/3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1/3))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1/3))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3))))))
(/.f64 (.f64 (-.f64 (.f64 x x) 1/9) x) (+.f64 x 1/3))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) 1/27) x) (+.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (.f64 1/9 (.f64 x x)) (.f64 1/9 (.f64 x x)))) (/.f64 (/.f64 1 x) (+.f64 x 1/3))) (+.f64 (.f64 1/9 (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (.f64 1/9 (.f64 x x)) 3)) (/.f64 (/.f64 1 x) (+.f64 x 1/3))) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (+.f64 (.f64 (.f64 1/9 (.f64 x x)) (.f64 1/9 (.f64 x x))) (.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (.f64 (.f64 1/27 (pow.f64 x 3)) (.f64 1/27 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3)))))) (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (.f64 1/27 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3)))))) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 (.f64 (.f64 1/27 (pow.f64 x 3)) (.f64 1/27 (pow.f64 x 3))) (.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) x) (+.f64 x 1/3))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) 1) (*.f64 x (+.f64 x 1/3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x 1/3)))) (sqrt.f64 (.f64 x (+.f64 x 1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (cbrt.f64 (.f64 x (+.f64 x 1/3))))) (cbrt.f64 (.f64 x (+.f64 x 1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(pow.f64 (*.f64 x (+.f64 x -1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1/3))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1/3))))
(fma.f64 x x (*.f64 x -1/3))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 1 (.f64 x x) (.f64 x -1/3))
(fma.f64 1 (.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (.f64 x 1/3)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x -1/3))) (sqrt.f64 (.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/3))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 -9 (pow.f64 x 3)) x))
(+.f64 1/3 (fma.f64 -9 (pow.f64 x 3) x))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 1/3 (+.f64 (.f64 -9 (pow.f64 x 3)) x)))
(fma.f64 -27 (pow.f64 x 4) (+.f64 1/3 (fma.f64 -9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 -9 (pow.f64 x 3) x) (fma.f64 -27 (pow.f64 x 4) 1/3))
(/.f64 1/27 (pow.f64 x 2))
(/.f64 1/27 (*.f64 x x))
(/.f64 (/.f64 1/27 x) x)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 1/27 x) x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (/.f64 (/.f64 1/27 x) x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (/.f64 (/.f64 1/27 x) x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(/.f64 1/27 (pow.f64 x 2))
(/.f64 1/27 (*.f64 x x))
(/.f64 (/.f64 1/27 x) x)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 1/27 x) x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (/.f64 (/.f64 1/27 x) x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (/.f64 (/.f64 1/27 x) x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 1/27 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 1 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) 1/27) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))
(/.f64 1/27 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3)))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) 1/27)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (fma.f64 x (+.f64 x -1/3) -1/9))) 1/27) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))
(/.f64 1/27 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81)))
(*.f64 -1/27 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) 1/27) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))
(/.f64 1/27 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3)))))
(.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (fma.f64 x (+.f64 x -1/3) -1/9))) 1/27) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))
(/.f64 1/27 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81)))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)) -1/27)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) 2)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 3)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3) 1/3)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 27) -1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2)))
(log.f64 (exp.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(cbrt.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(expm1.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(exp.f64 (log.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(log1p.f64 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(+.f64 (.f64 x x) (.f64 x -1/3))
(*.f64 x (+.f64 x -1/3))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))))
(fma.f64 x -1/3 (*.f64 x (+.f64 1/3 (+.f64 x -1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 0 x)))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 -1/3 x (.f64 x 1/3))))
(fma.f64 x (+.f64 x -1/3) (.f64 2 (fma.f64 -1/3 x (.f64 1/3 x))))
(fma.f64 x (+.f64 x -1/3) (.f64 2 (.f64 x 0)))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (+.f64 (fma.f64 -1/3 x (.f64 x 1/3)) (fma.f64 -1/3 x (.f64 x 1/3)))))
(fma.f64 x (+.f64 x -1/3) (.f64 2 (fma.f64 -1/3 x (.f64 1/3 x))))
(fma.f64 x (+.f64 x -1/3) (.f64 2 (.f64 x 0)))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (+.f64 (fma.f64 -1/3 x (.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))))
(+.f64 (fma.f64 x -1/3 (.f64 x (+.f64 1/3 (+.f64 x -1/3)))) (.f64 2 (fma.f64 -1/3 x (*.f64 1/3 x))))
(fma.f64 x (+.f64 x -1/3) (.f64 3 (.f64 x 0)))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 (neg.f64 x) 1/3 (*.f64 x 1/3))))
(fma.f64 x (+.f64 x -1/3) (fma.f64 (neg.f64 x) 1/3 (*.f64 1/3 x)))
(-.f64 (.f64 x (+.f64 x -1/3)) (.f64 x 0))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 (neg.f64 x) 1/3 (.f64 x 1/3))))
(+.f64 (fma.f64 x -1/3 (.f64 x (+.f64 1/3 (+.f64 x -1/3)))) (fma.f64 (neg.f64 x) 1/3 (.f64 1/3 x)))
(+.f64 (.f64 x (+.f64 -1/3 (+.f64 0 x))) (neg.f64 (.f64 x 0)))
(-.f64 (.f64 x (+.f64 -1/3 (+.f64 0 x))) (.f64 x 0))
(+.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (fma.f64 (.f64 x -1/3) 1 (.f64 x 1/3))))
(fma.f64 x -1/3 (*.f64 x (+.f64 1/3 (+.f64 x -1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 0 x)))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x -1/3) (fma.f64 -1/3 x (.f64 x 1/3))) (fma.f64 (.f64 x -1/3) 1 (*.f64 x 1/3))))
(fma.f64 x (+.f64 x -1/3) (.f64 2 (fma.f64 -1/3 x (.f64 1/3 x))))
(fma.f64 x (+.f64 x -1/3) (.f64 2 (.f64 x 0)))
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(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) 1) (*.f64 x (+.f64 x 1/3)))
(*.f64 x (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x 1/3)))) (sqrt.f64 (.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (cbrt.f64 (.f64 x (+.f64 x 1/3))))) (cbrt.f64 (.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/3 (*.f64 x (+.f64 1/3 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (fma.f64 x (.f64 1/3 (.f64 x (+.f64 1/3 x))) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/3 (*.f64 x (+.f64 1/3 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (fma.f64 x (.f64 1/3 (.f64 x (+.f64 1/3 x))) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x (+.f64 x 1/3))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/3 (*.f64 x (+.f64 1/3 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (fma.f64 x (.f64 1/3 (.f64 x (+.f64 1/3 x))) (pow.f64 x 4)))
(pow.f64 (*.f64 x (+.f64 x -1/3)) 1)
(*.f64 x (+.f64 x -1/3))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) 2)
(*.f64 x (+.f64 x -1/3))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 3)
(*.f64 x (+.f64 x -1/3))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) 1/3)
(*.f64 x (+.f64 x -1/3))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))
(fabs.f64 (*.f64 x (+.f64 x -1/3)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1/3)))
(*.f64 x (+.f64 x -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1/3)))))
(*.f64 x (+.f64 x -1/3))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))
(*.f64 x (+.f64 x -1/3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 x (+.f64 x -1/3))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 x (+.f64 x -1/3))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 x (+.f64 x -1/3))
(fma.f64 x x (*.f64 x -1/3))
(*.f64 x (+.f64 x -1/3))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x -1/3 (*.f64 x (+.f64 1/3 (+.f64 x -1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 0 x)))
(fma.f64 1 (.f64 x x) (.f64 x -1/3))
(*.f64 x (+.f64 x -1/3))
(fma.f64 1 (.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (.f64 x 1/3)))
(fma.f64 x -1/3 (*.f64 x (+.f64 1/3 (+.f64 x -1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 0 x)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x -1/3))) (sqrt.f64 (.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x -1/3 (*.f64 x (+.f64 1/3 (+.f64 x -1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 0 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x -1/3 (*.f64 x (+.f64 1/3 (+.f64 x -1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 0 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/3))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.03%	(+.f64 x -1/3)
✓	0.3%	(/.f64 (+.f64 x -1/3) -1/9)
✓	0.47%	(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
0.0ms	x	@	-inf	(/.f64 (+.f64 x -1/3) -1/9)
0.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
0.0ms	x	@	0	(/.f64 (+.f64 x -1/3) -1/9)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`add-sqr-sqrt`
1894×	`*-un-lft-identity`
1792×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	200	26
2	2424	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 (+.f64 x -1/3) -1/9)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2) (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1/3)) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (+.f64 x -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/3 (neg.f64 x))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1/3) -9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1/3) -9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/3) -9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x -1/3) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) -9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1/3) -9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/3)) (*.f64 (sqrt.f64 (+.f64 x -1/3)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/3)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/3 (neg.f64 x)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1/3) -9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1/3) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/3) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1/3) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1/3) -9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1/3) -9)))))))

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

782×	`unswap-sqr`
766×	`associate-*r/`
684×	`distribute-lft-in`
680×	`associate-+l-`
664×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1213
1	374	1173
2	1465	1153
3	7332	1153

Stop Event

1×	node limit

Counts

77 → 96

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 9 (pow.f64 x 3)) x)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
3
(+.f64 (*.f64 -9 x) 3)
(+.f64 (*.f64 -9 x) 3)
(+.f64 (*.f64 -9 x) 3)
(*.f64 -9 x)
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (*.f64 -9 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1)
(*.f64 1 (/.f64 -1/9 (+.f64 x -1/3)))
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
(*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(*.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2) (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9)
(.f64 -1 (/.f64 1 (.f64 (+.f64 x -1/3) 9)))
(*.f64 (/.f64 1 (+.f64 1/3 (neg.f64 x))) 1/9)
(*.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(.f64 (/.f64 -1/9 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) -9)) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)) -1))
(pow.f64 (*.f64 (+.f64 x -1/3) -9) -1)
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) -2))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -1/3) -9)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/3) -9))) 1)
(.f64 1 (.f64 (+.f64 x -1/3) -9))
(*.f64 (+.f64 x -1/3) -9)
(.f64 (.f64 (+.f64 x -1/3) -9) 1)
(.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) -9)) (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)))
(.f64 (sqrt.f64 (+.f64 x -1/3)) (.f64 (sqrt.f64 (+.f64 x -1/3)) -9))
(.f64 (cbrt.f64 (.f64 (+.f64 x -1/3) -9)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (.f64 (cbrt.f64 (+.f64 x -1/3)) -9))
(*.f64 -9 (+.f64 x -1/3))
(*.f64 (+.f64 1/3 (neg.f64 x)) 9)
(pow.f64 (*.f64 (+.f64 x -1/3) -9) 1)
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) -1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) 3) 1/3)
(neg.f64 (/.f64 (+.f64 x -1/3) 1/9))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) -9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1/3) -9))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/3) -9)))
(exp.f64 (log.f64 (*.f64 (+.f64 x -1/3) -9)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -1/3) -9)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1/3) -9)))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 x))
(+.f64 1/3 (fma.f64 3 (*.f64 x x) x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 9 (pow.f64 x 3)) x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (fma.f64 9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 9 (pow.f64 x 3) x) (fma.f64 3 (*.f64 x x) 1/3))
(+.f64 1/3 (fma.f64 x (*.f64 x 3) (fma.f64 9 (pow.f64 x 3) x)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))
(-.f64 (/.f64 -1/9 x) (/.f64 (/.f64 1/27 x) x))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 (/.f64 1/27 x) x)))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 (/.f64 1/27 x) x))) (/.f64 -1/243 (pow.f64 x 4)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))
(-.f64 (/.f64 -1/9 x) (/.f64 (/.f64 1/27 x) x))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 (/.f64 1/27 x) x)))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 (/.f64 1/27 x) x))) (/.f64 -1/243 (pow.f64 x 4)))
3
(+.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 3 (*.f64 -9 x))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 3 (*.f64 -9 x))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 3 (*.f64 -9 x))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 3 (*.f64 -9 x))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 3 (*.f64 -9 x))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 3 (*.f64 -9 x))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 1 (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2))
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2) (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9)
(/.f64 -1/9 (+.f64 x -1/3))
(.f64 -1 (/.f64 1 (.f64 (+.f64 x -1/3) 9)))
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 1/3 (neg.f64 x))) 1/9)
(/.f64 -1/9 (+.f64 x -1/3))
(*.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(*.f64 (+.f64 1/3 x) (/.f64 -1/9 (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x -1/9 -1/27) (fma.f64 x x -1/9))
(.f64 (/.f64 -1/9 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))
(.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))
(.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (+.f64 1/9 (.f64 1/3 x))))
(/.f64 (*.f64 -1/9 (fma.f64 x x (fma.f64 1/3 x 1/9))) (+.f64 (pow.f64 x 3) -1/27))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) -9)) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) -1))
(/.f64 -1/9 (+.f64 x -1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)) -1))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) 81))) (/.f64 1 (cbrt.f64 (fma.f64 -9 x 3))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 3) 2))) (/.f64 1 (cbrt.f64 (fma.f64 x -9 3))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 3) 2))) (cbrt.f64 (fma.f64 x -9 3)))
(pow.f64 (*.f64 (+.f64 x -1/3) -9) -1)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(/.f64 -1/9 (+.f64 x -1/3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) -2))
(/.f64 -1/9 (+.f64 x -1/3))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))))
(/.f64 -1/9 (+.f64 x -1/3))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(/.f64 -1/9 (+.f64 x -1/3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -1/3) -9)) -1))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1))
(/.f64 -1/9 (+.f64 x -1/3))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/3) -9))) 1)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(.f64 1 (.f64 (+.f64 x -1/3) -9))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(*.f64 (+.f64 x -1/3) -9)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(.f64 (.f64 (+.f64 x -1/3) -9) 1)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) -9)) (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(.f64 (sqrt.f64 (+.f64 x -1/3)) (.f64 (sqrt.f64 (+.f64 x -1/3)) -9))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(.f64 (cbrt.f64 (.f64 (+.f64 x -1/3) -9)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) (cbrt.f64 (fma.f64 -9 x 3)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 3) 2)) (cbrt.f64 (fma.f64 x -9 3)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) 81)) (cbrt.f64 (fma.f64 -9 x 3)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 3) 2)) (cbrt.f64 (fma.f64 x -9 3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (.f64 (cbrt.f64 (+.f64 x -1/3)) -9))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(*.f64 -9 (+.f64 x -1/3))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(*.f64 (+.f64 1/3 (neg.f64 x)) 9)
(*.f64 9 (-.f64 1/3 x))
(pow.f64 (*.f64 (+.f64 x -1/3) -9) 1)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) -1)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) -9)) 2)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/3) -9)) 3)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) 3) 1/3)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(neg.f64 (/.f64 (+.f64 x -1/3) 1/9))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) 81))
(sqrt.f64 (pow.f64 (fma.f64 x -9 3) 2))
(fabs.f64 (fma.f64 x -9 3))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) -9))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1/3) -9))))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) -9) 3))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/3) -9)))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(exp.f64 (log.f64 (*.f64 (+.f64 x -1/3) -9)))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -1/3) -9)) 1))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1/3) -9)))
(fma.f64 -9 x 3)
(fma.f64 x -9 3)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.11%	(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))
✓	0.2%	(.f64 (.f64 x x) (*.f64 x x))
✓	21.18%	(/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9)))
✓	27.25%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))

Compiler

Compiled 88 to 36 computations (59.1% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))
0.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))

rewrite102.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`distribute-rgt-in`
1100×	`distribute-lft-in`
354×	`add-sqr-sqrt`
336×	`pow1`
336×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	357	36
2	5089	36

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))
(/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9)))
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))

Outputs
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simplify117.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-r`
666×	`associate-l`
518×	`*-commutative`
498×	`associate-+r+`
468×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	6155
1	1382	5471
2	5747	5461

Stop Event

1×	node limit

Counts

259 → 276

Calls

Call 1

Inputs
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
3
(+.f64 (*.f64 -9 x) 3)
(+.f64 (.f64 -9 x) (+.f64 3 (.f64 27 (pow.f64 x 2))))
(+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
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(exp.f64 (.f64 (.f64 2 (log.f64 x)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (.f64 x x)) (*.f64 (/.f64 -1 (-.f64 1/3 x)) -1/9))
(+.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) -1/9) (.f64 (/.f64 -1 (-.f64 1/3 x)) (*.f64 x x)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9))) (.f64 (/.f64 -1 (-.f64 1/3 x)) (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9)))))
(+.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1) (.f64 x x)) (.f64 (*.f64 (/.f64 -1 (-.f64 1/3 x)) 1) -1/9))
(+.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1) -1/9) (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1) (*.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1) (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9))) (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1) (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9)))))
(+.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) x) (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) 1/3))
(+.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (-.f64 1/9 (.f64 x -1/3))))
(+.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (-.f64 1/9 (.f64 x -1/3))) (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (/.f64 -1 (-.f64 1/3 x))) (*.f64 -1/9 (/.f64 -1 (-.f64 1/3 x))))
(+.f64 (.f64 -1/9 (/.f64 -1 (-.f64 1/3 x))) (.f64 (*.f64 x x) (/.f64 -1 (-.f64 1/3 x))))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (/.f64 -1 (-.f64 1/3 x))) (.f64 (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9))) (/.f64 -1 (-.f64 1/3 x))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 -1 (-.f64 1/3 x)) 1)) (.f64 -1/9 (*.f64 (/.f64 -1 (-.f64 1/3 x)) 1)))
(+.f64 (.f64 -1/9 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1)) (.f64 (.f64 x x) (*.f64 (/.f64 -1 (-.f64 1/3 x)) 1)))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (.f64 (/.f64 -1 (-.f64 1/3 x)) 1)) (.f64 (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9))) (.f64 (/.f64 -1 (-.f64 1/3 x)) 1)))
(+.f64 (.f64 x (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 1/3 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (.f64 (-.f64 1/9 (.f64 x -1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))))
(+.f64 (.f64 (-.f64 1/9 (.f64 x -1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (.f64 (.f64 x x) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))))
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) 2/3)
(-.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x -1/3)) (/.f64 (/.f64 1/81 (fma.f64 x x 1/9)) (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 -1 (-.f64 1/3 x)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (/.f64 -1 (-.f64 1/3 x)) (fma.f64 x x -1/9))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x 1/3))))
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x x 1/9)))
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1) (fma.f64 x x -1/9))
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) 1) (/.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (/.f64 1 (fma.f64 x x 1/9)) (sqrt.f64 (+.f64 x -1/3))))
(.f64 (/.f64 1 (-.f64 1/3 x)) (-.f64 1/9 (.f64 x x)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (/.f64 1 (fma.f64 x x 1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) -1))
(*.f64 (pow.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) -1) (/.f64 1 (fma.f64 x x 1/9)))
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 1/3))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)

Outputs
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
3
(+.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 (.f64 -9 x) (+.f64 3 (.f64 27 (pow.f64 x 2))))
(+.f64 (fma.f64 -9 x 3) (.f64 27 (.f64 x x)))
(fma.f64 x -9 (fma.f64 27 (*.f64 x x) 3))
(+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2)))))
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (.f64 27 (.f64 x x)))))
(fma.f64 x -9 (fma.f64 -81 (pow.f64 x 3) (fma.f64 27 (*.f64 x x) 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x)) (/.f64 1/9 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/3 x) x) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/27 (pow.f64 x 4))) (/.f64 -1/3 (*.f64 x x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x)) (/.f64 1/9 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/3 x) x) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/27 (pow.f64 x 4))) (/.f64 -1/3 (*.f64 x x))))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(+.f64 -1/9 (*.f64 x x))
(fma.f64 x x -1/9)
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9))))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (*.f64 1 (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9)))))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (*.f64 -1/81 (/.f64 1 (fma.f64 x x 1/9))))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9))) (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x 1/9)) (pow.f64 x 4)) (.f64 (/.f64 1 (fma.f64 x x 1/9)) -1/81))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x 1/9)) -1/81) (.f64 (/.f64 1 (fma.f64 x x 1/9)) (pow.f64 x 4)))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 4) -1/81)) (.f64 x x)) (*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 4) -1/81)) -1/9))
(fma.f64 x x -1/9)
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 4) -1/81)) -1/9) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 4) -1/81)) (*.f64 x x)))
(fma.f64 x x -1/9)
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9))) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 4) -1/81)) (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9)))))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (pow.f64 x 4)) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 1/81 (.f64 (.f64 x x) -1/9))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x -1/9)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) (fma.f64 -1/9 (.f64 x x) 1/81)))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 1/81 (.f64 (.f64 x x) -1/9))) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x -1/9)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) (fma.f64 -1/9 (.f64 x x) 1/81)))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) 1/81)) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (.f64 (.f64 x x) -1/9)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x -1/9)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) (fma.f64 -1/9 (.f64 x x) 1/81)))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) 1) (.f64 (neg.f64 (/.f64 1/81 (fma.f64 x x 1/9))) 1))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(+.f64 (*.f64 -1/81 (/.f64 1 (fma.f64 x x 1/9))) (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
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(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (/.f64 -1 (-.f64 1/3 x)) (fma.f64 x x -1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 -1 (-.f64 1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x 1/3))))
(+.f64 x 1/3)
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x x 1/9)))
(.f64 (/.f64 1 (fma.f64 x x 1/9)) (/.f64 (.f64 -1 (+.f64 (pow.f64 x 4) -1/81)) (-.f64 1/3 x)))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 1/3 x)) (fma.f64 x x 1/9))
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) 1) (fma.f64 x x -1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 -1 (-.f64 1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (fma.f64 x x -1/9) (/.f64 -1 (-.f64 1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (fma.f64 x x -1/9) (/.f64 -1 (-.f64 1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) 1) (/.f64 (/.f64 1 (fma.f64 x x 1/9)) (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (+.f64 x -1/3) (fma.f64 x x 1/9))) (/.f64 1/81 (.f64 (+.f64 x -1/3) (fma.f64 x x 1/9))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9)) (+.f64 x -1/3))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (/.f64 1 (fma.f64 x x 1/9)) (sqrt.f64 (+.f64 x -1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (+.f64 x -1/3))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x 1/9))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (+.f64 x -1/3))) (*.f64 (fma.f64 x x 1/9) (sqrt.f64 (+.f64 x -1/3))))
(.f64 (/.f64 1 (-.f64 1/3 x)) (-.f64 1/9 (.f64 x x)))
(*.f64 (fma.f64 x x -1/9) (/.f64 -1 (-.f64 1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(+.f64 x 1/3)
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (fma.f64 x x 1/9) (.f64 x 1/3)))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 1/9 (.f64 x (+.f64 x 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (/.f64 1 (fma.f64 x x 1/9)) (cbrt.f64 (+.f64 x -1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 x -1/3)) (fma.f64 x x 1/9))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (*.f64 (fma.f64 x x 1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1))
(+.f64 x 1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) -1))
(+.f64 x 1/3)
(*.f64 (pow.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) -1) (/.f64 1 (fma.f64 x x 1/9)))
(*.f64 (/.f64 1 (fma.f64 x x 1/9)) (/.f64 1 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81))))
(/.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(+.f64 x 1/3)
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 x 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 x 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(fabs.f64 (+.f64 x 1/3))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 x 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 x 1/3)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 1/3))) -1))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 x 1/3)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(fma.f64 1 x 1/3)
(+.f64 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 x 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)

eval530.0ms (10.6%)

Compiler: Compiled 19865 to 15093 computations (24% saved)

prune247.0ms (5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	967	1	968
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	968	6	974

Error

Counts

974 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.51%	(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))
✓	45.71%	(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
▶	44.87%	(/.f64 1/27 (+.f64 1/9 (*.f64 (+.f64 x -1/3) x)))
✓	0.02%	(+.f64 x 1/3)
	54.65%	x
	45.81%	1/3

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.03%	(+.f64 x -1/3)
✓	0.04%	(+.f64 1/9 (*.f64 (+.f64 x -1/3) x))
✓	0.26%	(*.f64 (+.f64 x -1/3) x)
✓	0.97%	(/.f64 1/27 (+.f64 1/9 (*.f64 (+.f64 x -1/3) x)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (+.f64 x -1/3) x)
0.0ms	x	@	0	(/.f64 1/27 (+.f64 1/9 (*.f64 (+.f64 x -1/3) x)))
0.0ms	x	@	-inf	(*.f64 (+.f64 x -1/3) x)
0.0ms	x	@	0	(*.f64 (+.f64 x -1/3) x)
0.0ms	x	@	-inf	(/.f64 1/27 (+.f64 1/9 (*.f64 (+.f64 x -1/3) x)))

rewrite107.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`associate-*r/`
948×	`*-commutative`
926×	`associate-*l/`
632×	`distribute-lft-in`
600×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	228	49
2	2873	49

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

Inputs
(/.f64 1/27 (+.f64 1/9 (*.f64 (+.f64 x -1/3) x)))
(*.f64 (+.f64 x -1/3) x)
(+.f64 1/9 (*.f64 (+.f64 x -1/3) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) 1/9) (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (neg.f64 (*.f64 x (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) 1/9) (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (*.f64 (+.f64 x -1/3) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) 1/9) (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (*.f64 x (neg.f64 (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) 1/9) (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (*.f64 (*.f64 x (+.f64 x -1/3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) 1/9) (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) 1/9) (*.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) 1/81) (*.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))) (*.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/9 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))) (*.f64 (neg.f64 (*.f64 x (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/9 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))) (*.f64 (*.f64 (+.f64 x -1/3) (neg.f64 x)) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/9 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))) (*.f64 (*.f64 x (neg.f64 (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/9 (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))) (*.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) -1) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))))))) (#(struct:change #<rule 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simplify160.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1546×	`associate-/r/`
816×	`associate-+r+`
686×	`+-commutative`
664×	`associate-r`
616×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	9000
1	1307	8596
2	5708	8596

Stop Event

1×	node limit

Counts

212 → 272

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 -9 (pow.f64 x 3)) x))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 1/3 (+.f64 (.f64 -9 (pow.f64 x 3)) x)))
(/.f64 1/27 (pow.f64 x 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(/.f64 1/27 (pow.f64 x 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
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(pow.f64 x 2)
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(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
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(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
1/9
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(*.f64 1/27 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
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(*.f64 -1/27 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
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(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) 1/27)
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(.f64 (/.f64 1/27 (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
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(.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 x (+.f64 x -1/3) 1/9))))
(.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (-.f64 1/6561 (.f64 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)) (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))) (-.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))
(.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/531441 (pow.f64 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)) 3))) (+.f64 1/6561 (-.f64 (.f64 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)) (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))))
(/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(/.f64 1 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (/.f64 1 (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x -1/3))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (/.f64 1 (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))))
(/.f64 (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (/.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (sqrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (/.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (sqrt.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (/.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (cbrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (/.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (cbrt.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (neg.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (.f64 1 (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 1 (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81) (.f64 1 (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (-.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (-.f64 1/6561 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (+.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81)))
(/.f64 (+.f64 1/387420489 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) 3)) (.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (+.f64 1/531441 (-.f64 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 3)) (.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (+.f64 1/6561 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) (+.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) 1) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) 1) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81) 1) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (.f64 (-.f64 1/6561 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (+.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81))
(/.f64 (.f64 (-.f64 1/531441 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 3)) (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (+.f64 1/6561 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) (+.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81))))
(/.f64 (.f64 (-.f64 1/531441 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))) (-.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))
(/.f64 (.f64 (+.f64 1/387420489 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) 3)) (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))) (+.f64 1/531441 (-.f64 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) 1) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (sqrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))) (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))))) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) 1) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 (+.f64 x -1/3) x 1/9)
(fma.f64 1 (*.f64 x (+.f64 x -1/3)) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x -1/3))) (sqrt.f64 (.f64 x (+.f64 x -1/3))) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x -1/3))) 1/9)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 -9 (pow.f64 x 3)) x))
(+.f64 1/3 (fma.f64 -9 (pow.f64 x 3) x))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 1/3 (+.f64 (.f64 -9 (pow.f64 x 3)) x)))
(fma.f64 -27 (pow.f64 x 4) (+.f64 1/3 (fma.f64 -9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 -9 (pow.f64 x 3) x) (fma.f64 -27 (pow.f64 x 4) 1/3))
(/.f64 1/27 (pow.f64 x 2))
(/.f64 1/27 (*.f64 x x))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(/.f64 1/27 (pow.f64 x 2))
(/.f64 1/27 (*.f64 x x))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 (*.f64 x -1/3) 1/9)
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x -1/3) 1/9)
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(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (/.f64 (sqrt.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))) (sqrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))) (sqrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))) (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (sqrt.f64 (+.f64 1/9 (*.f64 x (-.f64 1/3 x))))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (/.f64 (cbrt.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))) (cbrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (cbrt.f64 (fma.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 1/3 x))))) (cbrt.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) 1) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) 1) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81) 1) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (/.f64 (sqrt.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))) (sqrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))) (sqrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))) (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (sqrt.f64 (+.f64 1/9 (*.f64 x (-.f64 1/3 x))))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (/.f64 (cbrt.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))) (cbrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (cbrt.f64 (fma.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 1/3 x))))) (cbrt.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (.f64 (-.f64 1/6561 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (+.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81))
(/.f64 (/.f64 (-.f64 1/6561 (pow.f64 (.f64 x (+.f64 x -1/3)) 4)) (-.f64 1/9 (.f64 x (+.f64 x -1/3)))) (+.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (-.f64 1/6561 (pow.f64 (.f64 x (+.f64 x -1/3)) 4)) (.f64 (+.f64 1/9 (.f64 x (-.f64 1/3 x))) (+.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (.f64 (-.f64 1/531441 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 3)) (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (+.f64 1/6561 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) (+.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 1/81))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) 3)) (.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (+.f64 1/6561 (+.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 4) (.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))))))
(/.f64 (-.f64 1/531441 (pow.f64 (.f64 x (+.f64 x -1/3)) 6)) (.f64 (+.f64 1/9 (.f64 x (-.f64 1/3 x))) (fma.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 2) (+.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)) 1/6561)))
(/.f64 (.f64 (-.f64 1/531441 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))) (-.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))
(/.f64 (-.f64 1/531441 (pow.f64 (.f64 x (+.f64 x -1/3)) 6)) (.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)))) (-.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (-.f64 1/531441 (pow.f64 (.f64 x (+.f64 x -1/3)) 6)) (.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (-.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (.f64 (+.f64 1/387420489 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) 3)) (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))) (+.f64 1/531441 (-.f64 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)))))
(/.f64 (/.f64 (+.f64 1/387420489 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) 3)) (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9))))) (+.f64 1/531441 (.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (-.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) 1/729))))
(/.f64 (+.f64 1/387420489 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) 3)) (.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (fma.f64 (pow.f64 (.f64 x (+.f64 x -1/3)) 3) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) -1/729) 1/531441)))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) 1) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (sqrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))) (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3)))))) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) -1/81) (fma.f64 x (+.f64 x -1/3) -1/9))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) 1) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9)))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (.f64 x (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81))
(pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 3)
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3) 1/3)
(fma.f64 x (+.f64 x -1/3) 1/9)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2))
(fabs.f64 (fma.f64 x (+.f64 x -1/3) 1/9))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(fma.f64 x (+.f64 x -1/3) 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3))
(fma.f64 x (+.f64 x -1/3) 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(exp.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 (+.f64 x -1/3) x 1/9)
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 1 (*.f64 x (+.f64 x -1/3)) 1/9)
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x -1/3))) (sqrt.f64 (.f64 x (+.f64 x -1/3))) 1/9)
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x -1/3))) 1/9)
(fma.f64 x (+.f64 x -1/3) 1/9)

eval266.0ms (5.3%)

Compiler: Compiled 10210 to 7890 computations (22.7% saved)

prune79.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	427	0	427
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	427	6	433

Error

Counts

433 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.51%	(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))
✓	45.71%	(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
✓	44.87%	(/.f64 1/27 (+.f64 1/9 (*.f64 (+.f64 x -1/3) x)))
✓	0.02%	(+.f64 x 1/3)
	54.65%	x
	45.81%	1/3

Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes26.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 1/27 (+.f64 1/9 (*.f64 (+.f64 x -1/3) x)))
(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (-.f64 (.f64 x x) -1/9))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

17.0ms	x
6.0ms	(+.f64 x (/.f64 1 3))

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`(+.f64 x (/.f64 1 3))`

Compiler

Compiled 104 to 72 computations (30.8% saved)

regimes21.0ms (0.4%)

Accuracy

Total -59.2b remaining (-2349.8%)

Threshold costs -59.2b (-2349.8%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
3.94%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch24.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.06408464581616342	92.936417412045
13.0ms	-78.25956967575041	-0.005510098270731467

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 106 to 88 computations (17% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end21.0ms (0.4%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

Details

analyze3.0ms (0.1%)

sample722.0ms (14.5%)

preprocess12.0ms (0.2%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0%)

series0.0ms (0%)

rewrite48.0ms (1%)

simplify47.0ms (0.9%)

eval7.0ms (0.1%)

prune6.0ms (0.1%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite105.0ms (2.1%)

simplify122.0ms (2.4%)

localize28.0ms (0.6%)

series3.0ms (0.1%)

rewrite126.0ms (2.5%)

simplify157.0ms (3.1%)

localize17.0ms (0.3%)

series1.0ms (0%)

rewrite69.0ms (1.4%)

simplify79.0ms (1.6%)

eval823.0ms (16.5%)

prune374.0ms (7.5%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite122.0ms (2.4%)

simplify168.0ms (3.4%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite63.0ms (1.3%)

simplify67.0ms (1.4%)

localize23.0ms (0.5%)

series3.0ms (0.1%)

rewrite102.0ms (2%)

simplify117.0ms (2.4%)

eval530.0ms (10.6%)

prune247.0ms (5%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite107.0ms (2.1%)

simplify160.0ms (3.2%)

eval266.0ms (5.3%)

prune79.0ms (1.6%)

regimes26.0ms (0.5%)

regimes21.0ms (0.4%)

bsearch24.0ms (0.5%)

simplify6.0ms (0.1%)

soundness12.0ms (0.2%)

end21.0ms (0.4%)

Profiling