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)

sample866.0ms (29.5%)

Results

855.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

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)

simplify13.0ms (0.5%)

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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x 1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.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)

rewrite51.0ms (1.7%)

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 (1.6%)

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 (0.2%)

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

prune11.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.3b	(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
▶	14.3b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x 1/3)
	32.7b	x
	30.5b	1/3

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x -1/3)
✓	0.2b	(/.f64 1/9 (+.f64 x -1/3))
✓	13.3b	(/.f64 (*.f64 x x) (+.f64 x -1/3))

Compiler

Compiled 35 to 21 computations (40% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite112.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`associate-/l*`
1068×	`distribute-rgt-in`
1036×	`distribute-lft-in`
684×	`associate-/l/`
248×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	241	46
2	3672	46

Stop Event

1×	node limit

Counts

4 → 304

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 1/3 x))) 1/9 (/.f64 -1/9 (-.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (fma.f64 (/.f64 1/9 (-.f64 1/3 x)) 1 (/.f64 -1/9 (-.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (-.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 (-.f64 1/3 x)))) (pow.f64 (cbrt.f64 (/.f64 -1/9 (-.f64 1/3 x))) 2) (/.f64 -1/9 (-.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/9 (fma.f64 x x -1/9)) x) (.f64 (/.f64 1/9 (fma.f64 x x -1/9)) 1/3))))) 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simplify128.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-r`
1368×	`associate-l`
1026×	`associate-/r*`
814×	`associate-/l*`
746×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	765	15058
1	2320	14664

Stop Event

1×	node limit

Counts

352 → 489

Calls

Call 1

Inputs
(*.f64 -3 (pow.f64 x 2))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -9 (pow.f64 x 3)))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 (.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3))))
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x
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x
(+.f64 1/3 x)
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x
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x
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1/3
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x
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(+.f64 (.f64 (/.f64 1/9 (-.f64 1/3 x)) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 (.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 (fma.f64 (neg.f64 (/.f64 -1 (-.f64 1/3 x))) 1/9 (/.f64 -1/9 (-.f64 1/3 x))) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 (.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 (fma.f64 (/.f64 1/9 (-.f64 1/3 x)) 1 (/.f64 -1/9 (-.f64 1/3 x))) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 (.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (-.f64 1/3 x))) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 (.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 (-.f64 1/3 x)))) (pow.f64 (cbrt.f64 (/.f64 -1/9 (-.f64 1/3 x))) 2) (/.f64 -1/9 (-.f64 1/3 x))) (/.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 -1/27 (pow.f64 x 3)))) (.f64 (-.f64 1/9 (.f64 x -1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3)))))
(+.f64 (.f64 (-.f64 1/9 (.f64 x -1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 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 1/3 x)))
(.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3)) (/.f64 1 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9))))
(*.f64 (/.f64 -1 (-.f64 1/3 x)) (fma.f64 x x -1/9))
(.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3))) (/.f64 1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9))))))
(.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (*.f64 x 1/9)))) (/.f64 1 (pow.f64 (+.f64 x -1/3) 2)))
(*.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 -1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))
(*.f64 (+.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3)))) (-.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))))
(/.f64 1 (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9)))
(/.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (/.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)))) (/.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)))) (+.f64 x 1/3)))
(/.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9)))) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))) (/.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3))) (/.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (sqrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9))))) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (sqrt.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9)))))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3))))) (/.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3))) (cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3)))) (/.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9))))) (cbrt.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9)))))) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (cbrt.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (*.f64 x 1/9)))))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (fma.f64 x x -1/9))) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.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 (/.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 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9)))) (+.f64 x -1/3)) (+.f64 x -1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 1/3 x))
(/.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (*.f64 (/.f64 1/9 (-.f64 1/3 x)) (/.f64 1/9 (-.f64 1/3 x)))) (-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (-.f64 1/3 x))))
(/.f64 (-.f64 (pow.f64 x 3) -1/27) (+.f64 (.f64 x x) (+.f64 1/9 (.f64 x -1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3)) (.f64 (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))) (.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)))) (+.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2))) (.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))) (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9)) (+.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)))))
(/.f64 (-.f64 (pow.f64 x 4) 1/81) (.f64 (+.f64 x -1/3) (+.f64 (.f64 x x) 1/9)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) (.f64 (.f64 x x) (+.f64 x -1/3))) (.f64 (+.f64 -1/27 (.f64 x 1/9)) (+.f64 -1/27 (.f64 x 1/9)))) (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) (+.f64 -1/27 (.f64 x 1/9)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (pow.f64 (/.f64 1/9 (-.f64 1/3 x)) 3)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (-.f64 (.f64 (/.f64 1/9 (-.f64 1/3 x)) (/.f64 1/9 (-.f64 1/3 x))) (.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (-.f64 1/3 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) 3) (pow.f64 (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)) 3)) (.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)))) (+.f64 (.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3)) (+.f64 (.f64 (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3))) (*.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) 3) (pow.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) 3)) (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2))) (+.f64 (.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2))) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) 1/9)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) 3) (pow.f64 (+.f64 -1/27 (.f64 x 1/9)) 3)) (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) (.f64 (.f64 x x) (+.f64 x -1/3))) (+.f64 (.f64 (+.f64 -1/27 (.f64 x 1/9)) (+.f64 -1/27 (.f64 x 1/9))) (.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) (+.f64 -1/27 (.f64 x 1/9)))))))
(/.f64 (-.f64 0 (fma.f64 x x -1/9)) (-.f64 1/3 x))
(/.f64 (-.f64 (.f64 x (+.f64 x -1/3)) (.f64 (/.f64 (+.f64 x -1/3) x) 1/9)) (*.f64 (/.f64 (+.f64 x -1/3) x) (+.f64 x -1/3)))
(/.f64 (-.f64 (.f64 x (/.f64 (-.f64 1/3 x) -1/9)) (.f64 (/.f64 (+.f64 x -1/3) x) 1)) (*.f64 (/.f64 (+.f64 x -1/3) x) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 x (-.f64 1/3 x)) (.f64 (/.f64 (+.f64 x -1/3) x) -1/9)) (*.f64 (/.f64 (+.f64 x -1/3) x) (-.f64 1/3 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 1/3 x) -1/9)) (+.f64 x -1/3)) (*.f64 (+.f64 x -1/3) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 1/3 x)) (.f64 (+.f64 x -1/3) -1/9)) (.f64 (+.f64 x -1/3) (-.f64 1/3 x)))
(/.f64 (-.f64 (+.f64 x -1/3) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) 1/9)) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) (+.f64 x -1/3)))
(/.f64 (-.f64 (/.f64 (-.f64 1/3 x) -1/9) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) 1)) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (-.f64 (-.f64 1/3 x) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) -1/9)) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) (-.f64 1/3 x)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (+.f64 x -1/3)) (.f64 (-.f64 1/3 x) 1/9)) (.f64 (-.f64 1/3 x) (+.f64 x -1/3)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 (-.f64 1/3 x) -1/9)) (.f64 (-.f64 1/3 x) 1)) (.f64 (-.f64 1/3 x) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (-.f64 1/3 x)) (.f64 (-.f64 1/3 x) -1/9)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3))) (neg.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9))))) (neg.f64 (pow.f64 (+.f64 x -1/3) 2)))
(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 (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 (*.f64 x x) (/.f64 -1 (-.f64 1/3 x)) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 1 x 1/3)
(fma.f64 1 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x))) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)

Outputs
(*.f64 -3 (pow.f64 x 2))
(.f64 -3 (.f64 x x))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -9 (pow.f64 x 3)))
(fma.f64 -3 (.f64 x x) (.f64 -9 (pow.f64 x 3)))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 (.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3))))
(fma.f64 -27 (pow.f64 x 4) (fma.f64 -3 (.f64 x x) (.f64 -9 (pow.f64 x 3))))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (.f64 -81 (pow.f64 x 5)))))
(fma.f64 -27 (pow.f64 x 4) (fma.f64 -3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (.f64 -81 (pow.f64 x 5)))))
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 x (/.f64 1/9 x)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x -1/3))) 3) 3) (/.f64 -1/387420489 (pow.f64 (pow.f64 (-.f64 1/3 x) 3) 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (fma.f64 x x 1/9) (/.f64 (/.f64 1/9 (-.f64 1/3 x)) (-.f64 1/3 x))))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x -1/3))) 6) (.f64 (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) 3) (pow.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) 3)) (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2))) (+.f64 (.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2))) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) 3) (/.f64 1/531441 (pow.f64 (pow.f64 (+.f64 x -1/3) 2) 3))) (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (fma.f64 x x 1/9)) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (*.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))))))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) 3) (/.f64 1/531441 (pow.f64 (pow.f64 (+.f64 x -1/3) 2) 3))) (.f64 -1 (fma.f64 x x 1/9))) (-.f64 1/3 x)) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (*.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) 1/9)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1/729) (.f64 (+.f64 x -1/3) (+.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 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) 3) (pow.f64 (+.f64 -1/27 (.f64 x 1/9)) 3)) (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) (.f64 (.f64 x x) (+.f64 x -1/3))) (+.f64 (.f64 (+.f64 -1/27 (.f64 x 1/9)) (+.f64 -1/27 (.f64 x 1/9))) (.f64 (.f64 (.f64 x x) (+.f64 x -1/3)) (+.f64 -1/27 (.f64 x 1/9)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x -1/3))) 3) (pow.f64 (+.f64 -1/27 (.f64 x 1/9)) 3)) (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (+.f64 -1/27 (.f64 x 1/9)) (fma.f64 (.f64 x x) (+.f64 x -1/3) (+.f64 -1/27 (*.f64 x 1/9)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x -1/3))) 3) (pow.f64 (+.f64 -1/27 (.f64 x 1/9)) 3)) (pow.f64 (+.f64 x -1/3) 2)) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (+.f64 -1/27 (.f64 x 1/9)) (fma.f64 (.f64 x x) (+.f64 x -1/3) (+.f64 -1/27 (.f64 x 1/9))))))
(/.f64 (-.f64 0 (fma.f64 x x -1/9)) (-.f64 1/3 x))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.f64 1/3 x)))
(/.f64 (-.f64 (.f64 x (+.f64 x -1/3)) (.f64 (/.f64 (+.f64 x -1/3) x) 1/9)) (*.f64 (/.f64 (+.f64 x -1/3) x) (+.f64 x -1/3)))
(/.f64 (-.f64 (.f64 x (+.f64 x -1/3)) (.f64 1/9 (/.f64 (+.f64 x -1/3) x))) (/.f64 (pow.f64 (+.f64 x -1/3) 2) x))
(.f64 (/.f64 (-.f64 (.f64 x (+.f64 x -1/3)) (*.f64 1/9 (/.f64 (+.f64 x -1/3) x))) (pow.f64 (+.f64 x -1/3) 2)) x)
(/.f64 (-.f64 (.f64 x (/.f64 (-.f64 1/3 x) -1/9)) (.f64 (/.f64 (+.f64 x -1/3) x) 1)) (*.f64 (/.f64 (+.f64 x -1/3) x) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (-.f64 (/.f64 (.f64 x (-.f64 1/3 x)) -1/9) (/.f64 (+.f64 x -1/3) x)) (.f64 (/.f64 (+.f64 x -1/3) x) (-.f64 -3 (/.f64 x -1/9))))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 1/3 x) (/.f64 -1/9 x)) (/.f64 (+.f64 x -1/3) x)) (/.f64 (+.f64 x -1/3) (/.f64 x (-.f64 1/3 x)))) -1/9)
(/.f64 (-.f64 (.f64 x (-.f64 1/3 x)) (.f64 (/.f64 (+.f64 x -1/3) x) -1/9)) (*.f64 (/.f64 (+.f64 x -1/3) x) (-.f64 1/3 x)))
(/.f64 (-.f64 (*.f64 x (-.f64 1/3 x)) (/.f64 (+.f64 x -1/3) (/.f64 x -1/9))) (/.f64 (+.f64 x -1/3) (/.f64 x (-.f64 1/3 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 1/3 x) -1/9)) (+.f64 x -1/3)) (*.f64 (+.f64 x -1/3) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 x (/.f64 (.f64 x (-.f64 1/3 x)) -1/9)) (+.f64 x -1/3)) (*.f64 (+.f64 x -1/3) (-.f64 -3 (/.f64 x -1/9))))
(.f64 (/.f64 (-.f64 (.f64 x (/.f64 (-.f64 1/3 x) (/.f64 -1/9 x))) (+.f64 x -1/3)) (*.f64 (+.f64 x -1/3) (-.f64 1/3 x))) -1/9)
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 1/3 x)) (.f64 (+.f64 x -1/3) -1/9)) (.f64 (+.f64 x -1/3) (-.f64 1/3 x)))
(/.f64 (-.f64 (+.f64 x -1/3) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) 1/9)) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) (+.f64 x -1/3)))
(/.f64 (+.f64 x (-.f64 -1/3 (.f64 1/9 (/.f64 (+.f64 x -1/3) (.f64 x x))))) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (-.f64 1/3 x) -1/9) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) 1)) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (-.f64 (-.f64 -3 (/.f64 x -1/9)) (/.f64 (+.f64 x -1/3) (.f64 x x))) (.f64 (/.f64 (+.f64 x -1/3) (*.f64 x x)) (-.f64 -3 (/.f64 x -1/9))))
(/.f64 (-.f64 -3 (+.f64 (/.f64 x -1/9) (/.f64 (+.f64 x -1/3) (.f64 x x)))) (.f64 (/.f64 (+.f64 x -1/3) (*.f64 x x)) (-.f64 -3 (/.f64 x -1/9))))
(/.f64 (-.f64 (-.f64 1/3 x) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) -1/9)) (.f64 (/.f64 (+.f64 x -1/3) (.f64 x x)) (-.f64 1/3 x)))
(/.f64 (-.f64 1/3 (+.f64 x (.f64 -1/9 (/.f64 (+.f64 x -1/3) (.f64 x x))))) (.f64 (-.f64 1/3 x) (/.f64 (+.f64 x -1/3) (.f64 x x))))
(/.f64 (-.f64 1/3 (+.f64 x (.f64 -1/9 (/.f64 (+.f64 x -1/3) (.f64 x x))))) (/.f64 (+.f64 x -1/3) (/.f64 x (/.f64 (-.f64 1/3 x) x))))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (+.f64 x -1/3)) (.f64 (-.f64 1/3 x) 1/9)) (.f64 (-.f64 1/3 x) (+.f64 x -1/3)))
(/.f64 (-.f64 (.f64 (+.f64 x -1/3) (.f64 x (neg.f64 x))) (.f64 1/9 (-.f64 1/3 x))) (.f64 (+.f64 x -1/3) (-.f64 1/3 x)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 (-.f64 1/3 x) -1/9)) (.f64 (-.f64 1/3 x) 1)) (.f64 (-.f64 1/3 x) (/.f64 (-.f64 1/3 x) -1/9)))
(/.f64 (fma.f64 (.f64 x (neg.f64 x)) (-.f64 -3 (/.f64 x -1/9)) (neg.f64 (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) -1/9))
(/.f64 (-.f64 (.f64 x (.f64 (neg.f64 x) (-.f64 -3 (/.f64 x -1/9)))) (-.f64 1/3 x)) (*.f64 (-.f64 1/3 x) (-.f64 -3 (/.f64 x -1/9))))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (-.f64 1/3 x)) (.f64 (-.f64 1/3 x) -1/9)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(/.f64 (-.f64 (.f64 x (.f64 (neg.f64 x) (-.f64 1/3 x))) (.f64 -1/9 (-.f64 1/3 x))) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(/.f64 (-.f64 (.f64 x (.f64 (-.f64 1/3 x) (neg.f64 x))) (.f64 -1/9 (-.f64 1/3 x))) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x 1/3))) (neg.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9))))
(/.f64 (.f64 (.f64 (/.f64 1 (-.f64 1/3 x)) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 (/.f64 1 (-.f64 1/3 x)) (fma.f64 x x 1/9)))
(/.f64 (.f64 (/.f64 -1 (-.f64 1/3 x)) (fma.f64 x x 1/9)) (/.f64 (.f64 (/.f64 1 (-.f64 1/3 x)) (fma.f64 x x 1/9)) (-.f64 -1/3 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (.f64 (/.f64 -1 (-.f64 1/3 x)) (+.f64 (*.f64 x x) 1/9))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x -1/3))) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (/.f64 -1/9 (-.f64 1/3 x)) (*.f64 (/.f64 -1 (-.f64 1/3 x)) (fma.f64 x x 1/9))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x -1/3))) 3) (/.f64 -1/729 (pow.f64 (-.f64 1/3 x) 3)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1/3) 2)) (.f64 (fma.f64 x x 1/9) (/.f64 (/.f64 1/9 (-.f64 1/3 x)) (-.f64 1/3 x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (neg.f64 (+.f64 -1/27 (.f64 x 1/9))))) (neg.f64 (pow.f64 (+.f64 x -1/3) 2)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (+.f64 1/27 (neg.f64 (.f64 x 1/9))))) (neg.f64 (pow.f64 (+.f64 x -1/3) 2)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (-.f64 1/27 (.f64 x 1/9)))) (neg.f64 (pow.f64 (+.f64 x -1/3) 2)))
(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 (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 (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 (*.f64 x x) (/.f64 -1 (-.f64 1/3 x)) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 1 x 1/3)
(+.f64 x 1/3)
(fma.f64 1 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (-.f64 1/3 x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/9 (-.f64 1/3 x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x))) (/.f64 1/9 (-.f64 1/3 x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -1/9)
	0.0b	(+.f64 x -1/3)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
✓	13.3b	(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 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	@	0	(/.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 (+.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))

rewrite87.0ms (3%)

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	57
1	238	29
2	3025	29

Stop Event

1×	node limit

Counts

3 → 204

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)))
(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))))))) 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simplify124.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

846×	`associate-/l*`
636×	`associate-r`
634×	`associate-l`
606×	`times-frac`
584×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	466	5786
1	1357	4994
2	7246	4994

Stop Event

1×	node limit

Counts

240 → 270

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

eval577.0ms (19.6%)

Compiler: Compiled 20904 to 15043 computations (28% saved)

prune224.0ms (7.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	910	1	911
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	911	5	916

Error

Counts

916 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.3b	(/.f64 1 (/.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)))
✓	14.3b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x 1/3)
	32.7b	x
	30.5b	1/3

Compiler

Compiled 34 to 25 computations (26.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x -1/3)
✓	0.0b	(-.f64 (*.f64 x x) 1/9)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)))
✓	13.3b	(/.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite148.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-/l*`
1108×	`associate-/r/`
1064×	`*-commutative`
678×	`associate-/l/`
568×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	252	29
2	3322	29

Stop Event

1×	node limit

Counts

3 → 269

Calls

Call 1

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

Outputs

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simplify110.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-r`
1136×	`associate-/l*`
1044×	`associate-l`
1010×	`associate-*r/`
844×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	644	10183
1	1987	9267

Stop Event

1×	node limit

Counts

305 → 406

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))))
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1/3
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x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
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-1/9
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(-.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)
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(-.f64 (pow.f64 x 2) 1/9)
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(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)))
(fma.f64 x x -1/9)
(fma.f64 1 (*.f64 x x) -1/9)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -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 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (+.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 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (+.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)
-1/9
(-.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 1 (fma.f64 x x -1/9)) (+.f64 x -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 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(+.f64 (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (.f64 x x)) (*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) 1/9))
(*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(*.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/3 x))
(+.f64 (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) 1/9) (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(*.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/3 x))
(+.f64 (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (pow.f64 x 4)) (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(+.f64 (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 1/81 (.f64 x (.f64 x 1/9)))) (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(+.f64 (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (pow.f64 x 4) 1/81)) (.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (.f64 x (.f64 x 1/9))))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(+.f64 (.f64 x (/.f64 1 (fma.f64 x x -1/9))) (.f64 -1/3 (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(+.f64 (.f64 -1/3 (/.f64 1 (fma.f64 x x -1/9))) (.f64 x (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81))) (*.f64 1/9 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(*.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/3 x))
(+.f64 (.f64 1/9 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81))) (.f64 (*.f64 x x) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(*.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/3 x))
(+.f64 (.f64 (pow.f64 x 4) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729))) (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729))))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(+.f64 (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729))) (.f64 (pow.f64 x 4) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729))))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) 1/81) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729))) (.f64 (.f64 x (.f64 x 1/9)) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729))))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(-.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 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.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 1 (neg.f64 (/.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)) (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 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (/.f64 (.f64 (cbrt.f64 (+.f64 x -1/3)) 1) (fma.f64 x x -1/9)))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (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))
(*.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 (/.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)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(/.f64 1 (+.f64 x 1/3))
(*.f64 (fma.f64 x x 1/9) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)))
(*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(*.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/3 x))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(.f64 (+.f64 (.f64 x (*.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)) (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(.f64 (-.f64 1/3 x) (/.f64 1 (-.f64 1/9 (.f64 x x))))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(*.f64 -1 (/.f64 -1 (+.f64 x 1/3)))
(/.f64 1 (+.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 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (/.f64 (.f64 (cbrt.f64 (+.f64 x -1/3)) 1) (fma.f64 x x -1/9)))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (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 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (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 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(*.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 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (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 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1/81)) (.f64 (+.f64 x -1/3) (fma.f64 x x 1/9)))
(*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(*.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/3 x))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 6) -1/729)) (.f64 (+.f64 x -1/3) (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81))))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(*.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(*.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/3 x))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (.f64 x (*.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (+.f64 1/81 (.f64 x (*.f64 x 1/9))) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (*.f64 x x) -1/9)))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 x (*.f64 x -1/9)))))
(.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) (-.f64 1/3 x))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(*.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 (sqrt.f64 (+.f64 x -1/3)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (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 (sqrt.f64 (+.f64 x -1/3)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
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(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 1 (/.f64 1 (fma.f64 x x 1/9))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (fma.f64 x (*.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (.f64 x x) -1/9)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 x (.f64 x -1/9)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (/.f64 1 (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (fma.f64 x (*.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (*.f64 x x) -1/9))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 x (.f64 x -1/9)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)) (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (.f64 x x) -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 x (.f64 x -1/9)))) (sqrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (fma.f64 x x 1/9) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))) (/.f64 (+.f64 (.f64 x (*.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))) (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (*.f64 x x) -1/9)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 x (*.f64 x -1/9)))) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))) (/.f64 (fma.f64 x x 1/9) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (/.f64 (fma.f64 x x 1/9) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (fma.f64 x x 1/9) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1/81)) (neg.f64 (fma.f64 x x 1/9)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (fma.f64 x x 1/9))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (neg.f64 (fma.f64 x x 1/9)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1/81)) (*.f64 1 (neg.f64 (fma.f64 x x 1/9))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (fma.f64 x x 1/9))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (neg.f64 (fma.f64 x x 1/9)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1/729)) (neg.f64 (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1/729) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1/729)) (.f64 1 (neg.f64 (+.f64 (.f64 x (*.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1/729) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/531441) (.f64 (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 x 12) -1/531441) (.f64 (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (pow.f64 x 6) 1/729)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/531441) (.f64 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (.f64 x x) -1/9)) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 x 12) -1/531441) (.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))) (+.f64 (pow.f64 x 6) 1/729)))
(/.f64 (+.f64 (pow.f64 x 12) -1/531441) (.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 x (*.f64 x -1/9)))) (+.f64 (pow.f64 x 6) 1/729)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/6561) (.f64 (fma.f64 x x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (+.f64 (pow.f64 x 8) -1/6561) (*.f64 (+.f64 (pow.f64 x 4) 1/81) (fma.f64 x x 1/9)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) 1/387420489) (.f64 (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 1/531441 (*.f64 1/729 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (.f64 (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (pow.f64 x 12) (+.f64 1/531441 (*.f64 (pow.f64 x 6) 1/729)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (.f64 (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 1/531441 (+.f64 (*.f64 (pow.f64 x 6) 1/729) (pow.f64 x 12)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) 1/387420489) (.f64 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (.f64 x x) -1/9)) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 1/531441 (*.f64 1/729 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (.f64 x x)))) (+.f64 (pow.f64 x 12) (+.f64 1/531441 (.f64 (pow.f64 x 6) 1/729)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 x (.f64 x -1/9)))) (+.f64 1/531441 (+.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 x 12)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 1/531441) (.f64 (fma.f64 x x 1/9) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 4) 3) -1/531441) (.f64 (fma.f64 x x 1/9) (+.f64 (pow.f64 x 8) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 4) 3) -1/531441) (.f64 (fma.f64 x x 1/9) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) 1/81) (pow.f64 x 8)))))
(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)
(fma.f64 x x -1/9)
(fma.f64 1 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1/9)

eval199.0ms (6.8%)

Compiler: Compiled 9927 to 7457 computations (24.9% saved)

prune93.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	482	0	482
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	482	5	487

Error

Counts

487 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.3b	(/.f64 1 (/.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)))
✓	14.3b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x 1/3)
	32.7b	x
	30.5b	1/3

Compiler

Compiled 34 to 25 computations (26.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.3b	(/.f64 1 (/.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)))
✓	14.3b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x 1/3)
	32.7b	x
	30.5b	1/3

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes11.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(+.f64 x 1/3)

Calls

2 calls:

6.0ms	x
3.0ms	(+.f64 x (/.f64 1 3))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 x (/.f64 1 3))`

Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes9.0ms (0.3%)

Accuracy

Total -60.3b remaining (-4110.8%)

Threshold costs -60.3b (-4110.8%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch24.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.04236781280525756	8.742874601714373
13.0ms	-1476.1021114207147	-9.261127397406243e-6

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 106 to 88 computations (17% saved)

simplify4.0ms (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 -6124895493223875/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness14.0ms (0.5%)

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)

end19.0ms (0.7%)

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

Details

analyze3.0ms (0.1%)

sample866.0ms (29.5%)

preprocess4.0ms (0.1%)

simplify13.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite51.0ms (1.7%)

simplify47.0ms (1.6%)

eval7.0ms (0.2%)

prune11.0ms (0.4%)

localize14.0ms (0.5%)

series3.0ms (0.1%)

rewrite112.0ms (3.8%)

simplify128.0ms (4.4%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

rewrite87.0ms (3%)

simplify124.0ms (4.2%)

eval577.0ms (19.6%)

prune224.0ms (7.6%)

localize13.0ms (0.4%)

series1.0ms (0%)

rewrite148.0ms (5%)

simplify110.0ms (3.8%)

eval199.0ms (6.8%)

prune93.0ms (3.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes11.0ms (0.4%)

regimes9.0ms (0.3%)

bsearch24.0ms (0.8%)

simplify4.0ms (0.1%)

soundness14.0ms (0.5%)

end19.0ms (0.7%)

Profiling