Details

analyze2.0ms (0%)

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)

sample739.0ms (10.3%)

Results

711.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	14	7
2	15	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)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	14	7
2	15	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%)

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)

rewrite53.0ms (0.7%)

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	1385	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)))))

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1204×	`distribute-lft-in`
1098×	`distribute-rgt-in`
1038×	`associate-/l*`
906×	`associate-r`
782×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	192	586
2	703	490
3	3235	490

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

Inputs
-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)
(-.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 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.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 (/.f64 x (+.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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.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 309 to 228 computations (26.2% saved)

prune26.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Error

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	14.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
▶	14.0b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
✓	0.0b	(+.f64 x -1/3)
▶	28.8b	(log.f64 (exp.f64 (+.f64 x -1/3)))
	34.1b	x
	29.5b	-1/3

Compiler

Compiled 49 to 36 computations (26.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 x -1/3))
	0.0b	(+.f64 x -1/3)
✓	0.3b	(log.f64 (exp.f64 (+.f64 x -1/3)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`add-sqr-sqrt`
1440×	`*-un-lft-identity`
1350×	`add-cube-cbrt`
1338×	`add-cbrt-cube`
1324×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	160	18
2	1783	18

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 x -1/3)))
(exp.f64 (+.f64 x -1/3))

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

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 0 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))))) (#(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 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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))))

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1606×	`associate-/l*`
1012×	`associate-/r*`
820×	`unswap-sqr`
760×	`associate-*r/`
600×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1200
1	330	1112
2	1330	1000
3	4840	1000

Stop Event

1×	node limit

Counts

80 → 84

Calls

Call 1

Inputs
-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)
(exp.f64 -1/3)
(+.f64 (exp.f64 -1/3) (*.f64 (exp.f64 -1/3) x))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (*.f64 (exp.f64 -1/3) x)))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 -1/3) x) (.f64 1/6 (*.f64 (exp.f64 -1/3) (pow.f64 x 3))))))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 0 (+.f64 x -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(-.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))
(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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 1 (expm1.f64 (+.f64 x -1/3)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x -1/3))) 1)
(*.f64 (exp.f64 (+.f64 x -1/3)) 1)
(*.f64 1 (exp.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3))) (sqrt.f64 (exp.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2) (cbrt.f64 (exp.f64 (+.f64 x -1/3))))
(*.f64 (exp.f64 -1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (exp.f64 -1/3))
(pow.f64 (exp.f64 (+.f64 x -1/3)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(pow.f64 (exp.f64 1) (+.f64 x -1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x -1/3))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x -1/3))))

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

localize12.0ms (0.2%)

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))
✓	13.1b	(/.f64 (*.f64 x x) (+.f64 x 1/3))

Compiler

Compiled 35 to 21 computations (40% saved)

series3.0ms (0%)

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)))
0.0ms	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 1/9 (+.f64 x 1/3))

rewrite140.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`associate-/l*`
1068×	`distribute-rgt-in`
1036×	`distribute-lft-in`
684×	`associate-/l/`
246×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	239	46
2	3654	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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (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 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (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 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (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 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (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 x (/.f64 (fma.f64 x 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(/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) 2) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -1/3)))))

simplify142.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-r`
1374×	`associate-l`
1088×	`associate-/r*`
790×	`associate-/l*`
754×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	768	15018
1	2337	14608

Stop Event

1×	node limit

Counts

352 → 491

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 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (.f64 -81 (pow.f64 x 5)) (.f64 27 (pow.f64 x 4)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
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)
(+.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1/3 x))) 1/9 (/.f64 -1/9 (-.f64 -1/3 x)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (fma.f64 (/.f64 1/9 (-.f64 -1/3 x)) 1 (/.f64 -1/9 (-.f64 -1/3 x)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (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 (/.f64 (.f64 x x) (+.f64 x 1/3)) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (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 (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) x) (.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) -1/3))
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(*.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 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))) (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 (.f64 x x) (+.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 (.f64 x x) (+.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 1/9 x)))) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 (.f64 x x) (+.f64 x 1/3)) 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 1/9 x))))) (/.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 1/9 x)))))))
(/.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 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))))) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 (.f64 x x) (+.f64 x 1/3)) 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 1/9 x))))) (cbrt.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x)))))) (/.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 1/9 x)))))))
(/.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 1/9 x)))) (+.f64 x 1/3)) (+.f64 x 1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x)))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.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 (.f64 x x) (+.f64 x 1/3)) 3) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3)) (.f64 (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (pow.f64 (/.f64 (.f64 x x) (+.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)) (pow.f64 (/.f64 (.f64 x x) (+.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 x (.f64 x (+.f64 x 1/3))) (.f64 x (.f64 x (+.f64 x 1/3)))) (.f64 (+.f64 1/27 (.f64 1/9 x)) (+.f64 1/27 (.f64 1/9 x)))) (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (+.f64 1/27 (.f64 1/9 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (pow.f64 (/.f64 1/9 (-.f64 -1/3 x)) 3)) (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (-.f64 (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x))) (.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) 3) (pow.f64 (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 (.f64 x x) (+.f64 x 1/3)) 3) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 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 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (pow.f64 (/.f64 (.f64 x x) (+.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 (pow.f64 (/.f64 (.f64 x x) (+.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 (.f64 x (+.f64 x 1/3))) 3) (pow.f64 (+.f64 1/27 (.f64 1/9 x)) 3)) (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (.f64 x (.f64 x (+.f64 x 1/3)))) (+.f64 (.f64 (+.f64 1/27 (.f64 1/9 x)) (+.f64 1/27 (.f64 1/9 x))) (.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (+.f64 1/27 (.f64 1/9 x)))))))
(/.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 x (-.f64 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 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 1/9 x))))) (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 (*.f64 x 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)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) 2) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) (/.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 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(fma.f64 3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (.f64 27 (pow.f64 x 4))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (.f64 -81 (pow.f64 x 5)) (.f64 27 (pow.f64 x 4)))))
(fma.f64 3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (fma.f64 -81 (pow.f64 x 5) (.f64 27 (pow.f64 x 4)))))
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 x (/.f64 1/9 x)) (+.f64 1/3 (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1/9 x) (+.f64 x -1/3)) (/.f64 1/27 (*.f64 x x)))
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 x (/.f64 1/9 x)) (+.f64 1/3 (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1/9 x) (+.f64 x -1/3)) (/.f64 1/27 (*.f64 x x)))
1/3
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(fma.f64 3 (*.f64 x x) (-.f64 1/3 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (-.f64 1/3 x) (.f64 -9 (pow.f64 x 3))))
(+.f64 (fma.f64 3 (.f64 x x) (-.f64 1/3 x)) (.f64 -9 (pow.f64 x 3)))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x)))) (/.f64 1/243 (pow.f64 x 4)))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x)))) (/.f64 1/243 (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)
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(.f64 (/.f64 (-.f64 (/.f64 (-.f64 -1/3 x) (/.f64 -1/9 x)) (/.f64 (+.f64 x 1/3) x)) (.f64 (-.f64 -1/3 x) (/.f64 (+.f64 x 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 -1/9 (/.f64 (+.f64 x 1/3) x))) (*.f64 (-.f64 -1/3 x) (/.f64 (+.f64 x 1/3) x)))
(.f64 (/.f64 (-.f64 (.f64 x (-.f64 -1/3 x)) (.f64 -1/9 (/.f64 (+.f64 x 1/3) x))) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x))) 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 (fma.f64 (.f64 x x) (-.f64 3 (/.f64 x -1/9)) (neg.f64 (+.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 (.f64 x (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) -1/9)) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x)))
(/.f64 (+.f64 x (-.f64 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 (.f64 (+.f64 x 1/3) 1/9) (.f64 x x)))) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (*.f64 x x)))
(/.f64 (+.f64 1/3 (-.f64 x (/.f64 (/.f64 (.f64 1/9 (+.f64 x 1/3)) 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 (-.f64 3 (/.f64 x -1/9)) (/.f64 (+.f64 x 1/3) (.f64 x x))) (/.f64 (-.f64 -1/3 x) (/.f64 -1/9 (/.f64 (+.f64 x 1/3) (.f64 x x)))))
(/.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 (.f64 (+.f64 x 1/3) -1/9) (.f64 x x)))) (.f64 (-.f64 -1/3 x) (/.f64 (+.f64 x 1/3) (.f64 x x))))
(.f64 (/.f64 (-.f64 -1/3 (+.f64 x (.f64 -1/9 (/.f64 (+.f64 x 1/3) (.f64 x x))))) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x))) (*.f64 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 x (.f64 (neg.f64 x) (+.f64 x 1/3))) (.f64 1/9 (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 x 1/3) (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 -1/3 x) (-.f64 3 (/.f64 x -1/9))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 (neg.f64 x) (-.f64 3 (/.f64 x -1/9)))) (-.f64 -1/3 x)) (.f64 (-.f64 -1/3 x) (-.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 (-.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 1/3 x)) (*.f64 (/.f64 1 (-.f64 -1/3 x)) (fma.f64 x x 1/9)))
(/.f64 (/.f64 (.f64 (-.f64 1/3 x) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (fma.f64 x x 1/9))) (/.f64 1 (-.f64 -1/3 x))) (fma.f64 x x 1/9))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.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 (pow.f64 (.f64 x (/.f64 x (+.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 (pow.f64 (.f64 x (/.f64 x (+.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 1/9 x))))) (neg.f64 (pow.f64 (+.f64 x 1/3) 2)))
(/.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 (.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 (*.f64 x x) (+.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 (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 (.f64 x x) (+.f64 x 1/3))) 2) (cbrt.f64 (/.f64 (.f64 x x) (+.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 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -1/3)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 1/3)
✓	0.0b	(fma.f64 x x -1/9)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	13.1b	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

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 (+.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))

rewrite107.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`associate-/r*`
1452×	`associate-*l/`
980×	`*-commutative`
832×	`associate-/l*`
658×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	238	29
2	3024	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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/3 x) (/.f64 -1 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1/3) (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 (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x -1/9)) (-.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) 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(#(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 (fma.f64 x x -1/9)) (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)))))

((#(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)))))))

simplify106.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

840×	`associate-/l*`
642×	`associate-r`
638×	`associate-l`
606×	`times-frac`
582×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	468	5768
1	1374	4994
2	7235	4994

Stop Event

1×	node limit

Counts

240 → 274

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1/3 x)
✓	0.0b	(-.f64 1/9 (*.f64 x x))
✓	13.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-/r*`
1356×	`associate-/l*`
1068×	`associate-/r/`
972×	`*-commutative`
718×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	214	27
2	3038	27

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

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

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 (/.f64 1/9 (-.f64 -1/3 x)) (neg.f64 (*.f64 (/.f64 x (-.f64 -1/3 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 1 (neg.f64 (*.f64 (/.f64 x (-.f64 -1/3 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 1 (-.f64 -1/3 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 -1/3 x)) x)) (/.f64 1/9 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -1/3 x)) (*.f64 x (neg.f64 x))) (/.f64 1/9 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))) x) (*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 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simplify150.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-/r*`
1098×	`associate-*l/`
1094×	`distribute-lft-in`
1052×	`associate-*r/`
986×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	663	11699
1	2271	11103

Stop Event

1×	node limit

Counts

311 → 464

Calls

Call 1

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

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

eval884.0ms (12.3%)

Compiler: Compiled 33137 to 23356 computations (29.5% saved)

prune418.0ms (5.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1493	5	1498
Fresh	0	2	2
Picked	0	1	1
Done	3	1	4
Total	1496	9	1505

Error

Counts

1505 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.1b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x)))) (-.f64 -1/3 x))
▶	19.1b	(/.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)))
✓	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	14.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
▶	0.1b	(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x -1/3)
▶	14.1b	(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
	34.1b	x
	29.5b	-1/3

Compiler

Compiled 158 to 121 computations (23.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`add-sqr-sqrt`
1518×	`*-un-lft-identity`
1434×	`add-cube-cbrt`
1424×	`add-cbrt-cube`
1410×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	177	20
2	1957	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1238×	`unswap-sqr`
648×	`associate-*r/`
644×	`associate-/r*`
580×	`associate-+r+`
542×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1418
1	377	1246
2	1422	1082
3	6238	1082

Stop Event

1×	node limit

Counts

78 → 96

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 -1/3 x)
	0.0b	(-.f64 1/9 (*.f64 x x))
✓	0.0b	(/.f64 1 (-.f64 -1/3 x))
✓	13.1b	(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`associate-/r*`
1014×	`*-commutative`
840×	`associate-/r/`
782×	`associate-/l*`
550×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	245	20
2	3185	20

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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

simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

780×	`+-commutative`
754×	`associate-r`
700×	`associate-/l*`
684×	`associate-l`
616×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	8421
1	1675	7247
2	7675	7247

Stop Event

1×	node limit

Counts

213 → 309

Calls

Call 1

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

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

localize14.0ms (0.2%)

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)))
✓	13.1b	(/.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	@	0	(/.f64 1 (/.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	@	-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))

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/l*`
1080×	`associate-/r/`
1052×	`*-commutative`
676×	`associate-/l/`
566×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	250	29
2	3302	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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((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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1/9)))))

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-r`
1124×	`associate-/l*`
990×	`associate-*r/`
990×	`associate-l`
842×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	10243
1	1981	9317

Stop Event

1×	node limit

Counts

305 → 392

Calls

Call 1

Inputs
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (.f64 -9 x) (.f64 -27 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 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 (.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 (+.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 (+.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 (+.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 (+.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 x (/.f64 1 (fma.f64 x x -1/9))) (.f64 1/3 (/.f64 1 (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 (.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 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 (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 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 (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 (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 1 (neg.f64 (/.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 (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 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.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 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) (cbrt.f64 (/.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 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(.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 -1/3 x) (/.f64 1 (-.f64 1/9 (.f64 x x))))
(*.f64 -1 (/.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 (/.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 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x 1/9))
(.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 (pow.f64 x 4) 1/81) (.f64 (*.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 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 1 (-.f64 1/9 (.f64 x x))) (-.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)) (cbrt.f64 (/.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) (neg.f64 (+.f64 (pow.f64 x 4) -1/81))) (neg.f64 (fma.f64 x x 1/9)))
(.f64 (/.f64 (+.f64 x 1/3) (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 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2))) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(*.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 (fma.f64 x x 1/9) (.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 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) 1) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) -1) (cbrt.f64 (/.f64 -1 (+.f64 x -1/3))))
(*.f64 (/.f64 (-.f64 -1/3 x) (neg.f64 (+.f64 (pow.f64 x 4) -1/81))) (fma.f64 x x 1/9))
(.f64 (/.f64 (-.f64 -1/3 x) (neg.f64 (+.f64 (pow.f64 x 6) -1/729))) (+.f64 (.f64 x (*.f64 x 1/9)) (+.f64 (pow.f64 x 4) 1/81)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (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) (fma.f64 x x -1/9)) 1) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) 1) (neg.f64 (/.f64 -1 (+.f64 x -1/3))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (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) (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) (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) (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))) (/.f64 1 (fma.f64 x x -1/9)))
(.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 (pow.f64 x 4) -1/81)) (.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)))
(.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.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 (fma.f64 x x -1/9) (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) (fma.f64 x x -1/9)) -1) (/.f64 -1 (+.f64 x -1/3)))
(.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (.f64 (/.f64 1 (+.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81))) (fma.f64 x x 1/9))
(.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (.f64 (/.f64 1 (+.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 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2))) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1/9) (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) (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) (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 (.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (pow.f64 x 4) (.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 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/729 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 x 1/9))))
(.f64 (/.f64 (+.f64 (pow.f64 x 6) -1/729) (-.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))) (-.f64 (+.f64 (pow.f64 x 4) -1/81) (.f64 x (*.f64 x 1/9))))
(.f64 (/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) 3))) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (-.f64 (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (+.f64 1/81 (.f64 x (.f64 x 1/9)))) (.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))))
(/.f64 (fma.f64 x x -1/9) 1)
(/.f64 1 (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (.f64 x x) -1/9)) (+.f64 (pow.f64 x 6) -1/729)))
(/.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 (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 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) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (.f64 x 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) (.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (*.f64 x x) -1/9))))
(/.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 (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 (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 (*.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 (.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 (.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 (neg.f64 (+.f64 (pow.f64 x 4) -1/81)) (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))))
(/.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 (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 (.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 (.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 (.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 (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 (-.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 4) 3) 1/531441) (.f64 (fma.f64 x x 1/9) (+.f64 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/6561) (*.f64 (pow.f64 x 4) 1/81))))
(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)))
(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 (.f64 -9 x) (.f64 -27 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -9 x (.f64 -27 (.f64 x x))) -3)
(+.f64 (.f64 -27 (.f64 x x)) (fma.f64 -9 x -3))
(-.f64 (+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(+.f64 (fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (.f64 -27 (.f64 x x)))) -3)
(+.f64 (fma.f64 -81 (pow.f64 x 3) (.f64 -27 (.f64 x x))) (fma.f64 -9 x -3))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x)) (/.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 1/3 x) x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/27 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x)) (/.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 1/3 x) x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/27 (pow.f64 x 4)))))
-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 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.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 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.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) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(+.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) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(+.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 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x 1/9)))))
(/.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 (pow.f64 x 6) -1/729))
(+.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 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x 1/9)))))
(/.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 (pow.f64 x 6) -1/729))
(+.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 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x 1/9)))))
(/.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 (pow.f64 x 6) -1/729))
(+.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 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.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 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.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) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(+.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) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(+.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 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x 1/9)))))
(/.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 (pow.f64 x 6) -1/729))
(+.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 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x 1/9)))))
(/.f64 (.f64 (+.f64 x 1/3) (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 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 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x 1/9)))))
(/.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 (pow.f64 x 6) -1/729))
(-.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 (+.f64 x 1/3)) (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 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 (sqrt.f64 (+.f64 x 1/3)) (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 (cbrt.f64 (+.f64 x 1/3)) (.f64 (/.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 (cbrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2))
(/.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (/.f64 1 (+.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 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) (cbrt.f64 (/.f64 1 (+.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) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(/.f64 (*.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.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 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x 1/9)))))
(/.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 (pow.f64 x 6) -1/729))
(.f64 (-.f64 -1/3 x) (/.f64 1 (-.f64 1/9 (.f64 x x))))
(/.f64 (*.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
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(*.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 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/729 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 x 1/9))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 x 1/9)))) (+.f64 (pow.f64 x 6) 1/729))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 (+.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 6) -1/729) (-.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))) (-.f64 (+.f64 (pow.f64 x 4) -1/81) (.f64 x (*.f64 x 1/9))))
(.f64 (+.f64 (pow.f64 x 4) (-.f64 -1/81 (.f64 x (.f64 x 1/9)))) (/.f64 (+.f64 (pow.f64 x 6) -1/729) (-.f64 (pow.f64 x 8) (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))))
(.f64 (-.f64 (+.f64 (pow.f64 x 4) -1/81) (.f64 x (.f64 x 1/9))) (/.f64 (+.f64 (pow.f64 x 6) -1/729) (-.f64 (pow.f64 x 8) (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) 3))) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (-.f64 (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (+.f64 1/81 (.f64 x (.f64 x 1/9)))) (.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9)))))))
(.f64 (+.f64 (pow.f64 x 8) (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (-.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (pow.f64 x 4)))) (/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) 3))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) 3)) (+.f64 (pow.f64 x 8) (.f64 (+.f64 1/81 (.f64 x (.f64 x 1/9))) (+.f64 1/81 (-.f64 (.f64 x (*.f64 x 1/9)) (pow.f64 x 4)))))))
(/.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 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 (.f64 x x) -1/9)) (+.f64 (pow.f64 x 6) -1/729)))
(.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 x -1/9)))) (+.f64 (pow.f64 x 6) -1/729))
(.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 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 (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 (+.f64 (pow.f64 x 4) 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 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (.f64 x -1/9))))
(/.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 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81))) (fma.f64 x 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 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (.f64 x -1/9))) (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)) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 x -1/9)))))
(/.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 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))) (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 (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 (.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 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)) (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 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 x -1/9))) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (.f64 x -1/9))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 x 6) -1/729)))))
(/.f64 (neg.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))))
(/.f64 (neg.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 (+.f64 (pow.f64 x 4) 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 (+.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (+.f64 1/531441 (+.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 x 12)))) (fma.f64 x (.f64 x 1/9) (+.f64 (pow.f64 x 4) 1/81)))
(/.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 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (.f64 x -1/9))) (+.f64 (pow.f64 x 12) (+.f64 1/531441 (.f64 (pow.f64 x 6) 1/729)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (+.f64 1/531441 (+.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 x 12)))) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 x -1/9))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 1/531441) (.f64 (fma.f64 x x 1/9) (+.f64 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 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)))))
(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)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1/9 (*.f64 x x))
✓	0.1b	(/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x))))
✓	0.1b	(/.f64 1 (-.f64 1/9 (*.f64 x x)))
✓	13.0b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x)))) (-.f64 -1/3 x))

Compiler

Compiled 45 to 28 computations (37.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`associate-/l*`
1352×	`associate-/r/`
1108×	`*-commutative`
950×	`associate-/l/`
576×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	281	39
2	3521	39

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-r`
1146×	`associate-l`
876×	`associate-/l*`
678×	`distribute-lft-in`
662×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	520	7466
1	1610	6826

Stop Event

1×	node limit

Counts

230 → 297

Calls

Call 1

Inputs
-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)
9
(+.f64 (*.f64 81 (pow.f64 x 2)) 9)
(+.f64 (.f64 81 (pow.f64 x 2)) (+.f64 9 (.f64 729 (pow.f64 x 4))))
(+.f64 (.f64 81 (pow.f64 x 2)) (+.f64 9 (+.f64 (.f64 6561 (pow.f64 x 6)) (*.f64 729 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/729 (/.f64 1 (pow.f64 x 8)))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/729 (/.f64 1 (pow.f64 x 8)))))))
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
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(pow.f64 (-.f64 1/9 (*.f64 x x)) -1)
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/9 (*.f64 x x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/9 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/9 (*.f64 x x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/9 (*.f64 x x)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 1/9 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/9 (*.f64 x x)))))
(+.f64 1/9 (*.f64 x (neg.f64 x)))
(+.f64 1/9 (.f64 -1 (neg.f64 (.f64 x (neg.f64 x)))))
(+.f64 (*.f64 x (neg.f64 x)) 1/9)
(+.f64 (-.f64 1/9 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(-.f64 1/9 (*.f64 x x))
(-.f64 1/9 (/.f64 x (/.f64 1 x)))
(-.f64 0 (-.f64 (*.f64 x x) 1/9))
(-.f64 (exp.f64 (log.f64 (-.f64 10/9 (*.f64 x x)))) 1)
(-.f64 (/.f64 1/81 (+.f64 1/9 (.f64 x x))) (/.f64 (pow.f64 x 4) (+.f64 1/9 (.f64 x x))))
(-.f64 (/.f64 1/729 (+.f64 (.f64 1/9 (.f64 x x)) (+.f64 (pow.f64 x 4) 1/81))) (/.f64 (pow.f64 x 6) (+.f64 (.f64 1/9 (.f64 x x)) (+.f64 (pow.f64 x 4) 1/81))))
(.f64 1 (-.f64 1/9 (.f64 x x)))
(.f64 1 (neg.f64 (+.f64 -1/9 (.f64 x x))))
(.f64 (-.f64 1/9 (.f64 x x)) 1)
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (sqrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (+.f64 1/9 (.f64 x x))))
(.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (+.f64 (.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 4) 1/81))))
(.f64 (+.f64 -1/9 (.f64 x x)) -1)
(.f64 -1 (+.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (/.f64 1 (+.f64 1/9 (.f64 x x))) (-.f64 1/81 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 4) 1/81))) (-.f64 1/729 (pow.f64 x 6)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) 1) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (pow.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -1/2) -1))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/9 (*.f64 x x)))) -1))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/9 (.f64 x x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -2)) -1))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/9 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) -1) (cbrt.f64 (+.f64 -1/9 (*.f64 x x))))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/9 (.f64 x x)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/729 (pow.f64 x 6))) (+.f64 1/81 (-.f64 (pow.f64 x 4) (.f64 1/9 (*.f64 x x)))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))))) (-.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 1/9 (.f64 x x))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) 3))) (+.f64 1/6561 (-.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))) (.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 1/9 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))) 1) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))) -1) (cbrt.f64 (+.f64 -1/9 (*.f64 x x))))
(pow.f64 (/.f64 1 (-.f64 1/9 (*.f64 x x))) -1)
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
9
(+.f64 (*.f64 81 (pow.f64 x 2)) 9)
(fma.f64 81 (*.f64 x x) 9)
(+.f64 (.f64 81 (pow.f64 x 2)) (+.f64 9 (.f64 729 (pow.f64 x 4))))
(+.f64 (fma.f64 81 (.f64 x x) 9) (.f64 729 (pow.f64 x 4)))
(+.f64 (.f64 81 (pow.f64 x 2)) (+.f64 9 (+.f64 (.f64 6561 (pow.f64 x 6)) (*.f64 729 (pow.f64 x 4)))))
(+.f64 (fma.f64 81 (.f64 x x) 9) (fma.f64 6561 (pow.f64 x 6) (.f64 729 (pow.f64 x 4))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1/9 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1/9 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/9 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1/81 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -1/9 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 -1/81 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/729 (/.f64 1 (pow.f64 x 8)))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 6)) (+.f64 (/.f64 1/9 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 8))))))
(-.f64 (/.f64 -1/81 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 1/9 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1/729 (pow.f64 x 8))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1/9 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1/9 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/9 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1/81 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -1/9 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 -1/81 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/729 (/.f64 1 (pow.f64 x 8)))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 6)) (+.f64 (/.f64 1/9 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 8))))))
(-.f64 (/.f64 -1/81 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 1/9 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1/729 (pow.f64 x 8))))
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (.f64 (/.f64 -1 (+.f64 1/3 x)) 1/9) (.f64 (/.f64 -1 (+.f64 1/3 x)) (*.f64 x (neg.f64 x))))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 (.f64 (/.f64 -1 (+.f64 1/3 x)) (.f64 x (neg.f64 x))) (*.f64 (/.f64 -1 (+.f64 1/3 x)) 1/9))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) x) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) -1/3))
(+.f64 -1/3 x)
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) -1/3) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) x))
(+.f64 -1/3 x)
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) 1/9) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 -1/9 (.f64 x (-.f64 1/3 x))) (-.f64 -1/27 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (.f64 x (+.f64 x -1/3))) (.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) 1/9))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 -1/9 (.f64 x (-.f64 1/3 x))) (-.f64 -1/27 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (.f64 x x))) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (.f64 x -1/3)))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 -1/9 (.f64 x (-.f64 1/3 x))) (-.f64 -1/27 (pow.f64 x 3))))
(-.f64 -1/3 (neg.f64 x))
(+.f64 -1/3 x)
(-.f64 (exp.f64 (log1p.f64 x)) 4/3)
(+.f64 (exp.f64 (log1p.f64 x)) -4/3)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 x))) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x)))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(+.f64 (exp.f64 (log1p.f64 x)) -4/3)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (-.f64 1/9 (.f64 x x)) (/.f64 -1 (+.f64 1/3 x)))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.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 (+.f64 x -1/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))
(/.f64 (cbrt.f64 (+.f64 -1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x 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 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 -1 (+.f64 1/3 x))))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(.f64 (+.f64 x -1/3) (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 x x))))
(+.f64 -1/3 x)
(.f64 (/.f64 -1 (+.f64 1/3 x)) (-.f64 1/9 (.f64 x x)))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(.f64 (+.f64 1/9 (.f64 x (+.f64 x -1/3))) (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 -1/9 (.f64 x (-.f64 1/3 x))) (-.f64 -1/27 (pow.f64 x 3))))
(.f64 (+.f64 -1/9 (.f64 x x)) (/.f64 1 (+.f64 1/3 x)))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(.f64 (/.f64 1 (+.f64 -1/9 (.f64 x x))) (.f64 (+.f64 x -1/3) (+.f64 -1/9 (.f64 x x))))
(+.f64 -1/3 x)
(.f64 (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 -1 (+.f64 1/3 x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2))
(.f64 (/.f64 -1 (+.f64 x 1/3)) (-.f64 1/9 (.f64 x x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 -1/3 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))) 1) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 -1/3 x)))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)))
(/.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))) 1) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))
(.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))) (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x (+.f64 x -1/3)))))
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(/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (fma.f64 1/9 (.f64 x x) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 1/9 (*.f64 x x) (+.f64 (pow.f64 x 4) 1/81)))
(.f64 (+.f64 -1/9 (.f64 x x)) -1)
(-.f64 1/9 (*.f64 x x))
(.f64 -1 (+.f64 -1/9 (.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -2))))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2)))
(.f64 (/.f64 1 (+.f64 1/9 (.f64 x x))) (-.f64 1/81 (pow.f64 x 4)))
(.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (+.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 4) 1/81))) (-.f64 1/729 (pow.f64 x 6)))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (fma.f64 1/9 (.f64 x x) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 1/9 (*.f64 x x) (+.f64 (pow.f64 x 4) 1/81)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) 1) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(.f64 (pow.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -1/2) -1))
(-.f64 1/9 (*.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/9 (*.f64 x x)))) -1))
(.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -2))))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2)))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/9 (.f64 x x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -2)) -1))
(.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -2))))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/9 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (sqrt.f64 -1)) (sqrt.f64 (fma.f64 x x -1/9)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) -1) (cbrt.f64 (+.f64 -1/9 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) -1) (cbrt.f64 (fma.f64 x x -1/9)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/9 (.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/729 (pow.f64 x 6))) (+.f64 1/81 (-.f64 (pow.f64 x 4) (.f64 1/9 (*.f64 x x)))))
(.f64 (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 -1/9 (*.f64 x x)))) (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 (pow.f64 x 6) 1/729)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 1/81 (.f64 (.f64 x x) (fma.f64 x x -1/9)))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))))) (-.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 1/9 (.f64 x x))))
(.f64 (+.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 -1/9 (.f64 x x))) (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))))))
(.f64 (-.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) 3))) (+.f64 1/6561 (-.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))) (.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 1/9 (*.f64 x x)))))))
(.f64 (+.f64 1/6561 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (-.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) 1/81))) (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) 3))))
(.f64 (+.f64 1/6561 (.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) (+.f64 (pow.f64 x 4) (-.f64 (.f64 1/9 (.f64 x x)) 1/81)))) (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) 3))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))) 1) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) -2))))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))) -1) (cbrt.f64 (+.f64 -1/9 (*.f64 x x))))
(.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))) -1))
(.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) -2))))
(pow.f64 (/.f64 1 (-.f64 1/9 (*.f64 x x))) -1)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(-.f64 1/9 (*.f64 x x))
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(-.f64 1/9 (*.f64 x x))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(-.f64 1/9 (*.f64 x x))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 x x))))
(+.f64 (-.f64 10/9 (*.f64 x x)) -1)
(+.f64 -1 (-.f64 10/9 (*.f64 x x)))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) -1/9))
✓	0.1b	(.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9))
✓	0.2b	(/.f64 (-.f64 -1/3 x) -1/9)
✓	18.4b	(/.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)))

Compiler

Compiled 73 to 49 computations (32.9% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite101.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`distribute-lft-in`
356×	`add-sqr-sqrt`
338×	`pow1`
338×	`*-un-lft-identity`
334×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	130
1	344	126
2	5321	114

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-/l/`
1050×	`associate-/r/`
594×	`associate-r`
538×	`associate-l`
536×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	7111
1	998	6123
2	5099	5975

Stop Event

1×	node limit

Counts

201 → 220

Calls

Call 1

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

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

eval1.3s (18.3%)

Compiler: Compiled 41753 to 30188 computations (27.7% saved)

prune916.0ms (12.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1880	1	1881
Fresh	0	2	2
Picked	1	0	1
Done	0	6	6
Total	1881	9	1890

Error

Counts

1890 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.1b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x)))) (-.f64 -1/3 x))
▶	29.3b	(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))
✓	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	14.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	0.1b	(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x -1/3)
✓	14.1b	(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
	34.1b	x
	29.5b	-1/3

Compiler

Compiled 84 to 64 computations (23.8% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 -1/3 x)
	0.1b	(.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9))
	0.2b	(/.f64 (-.f64 -1/3 x) -1/9)
✓	4.9b	(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))

Compiler

Compiled 70 to 47 computations (32.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))

0.0ms

(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))

0.0ms

-inf

(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))

rewrite90.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`associate-/r/`
412×	`add-sqr-sqrt`
388×	`pow1`
388×	`*-un-lft-identity`
386×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	405	47
2	5737	47

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))

Outputs

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simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1714×	`associate-*r/`
1606×	`associate-*l/`
724×	`+-commutative`
638×	`associate-+l+`
594×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	301	6988
1	1007	6516
2	4270	6516

Stop Event

1×	node limit

Counts

90 → 175

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (.f64 27 (pow.f64 x 3)) (+.f64 (.f64 -3 (pow.f64 x 2)) x)) 1/3)
(*.f64 3/2 (pow.f64 x 2))
(+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x))
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) 5/24)
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) (+.f64 5/24 (*.f64 1/48 (/.f64 1 x))))
(*.f64 3/2 (pow.f64 x 2))
(+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x))
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) 5/24)
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) (+.f64 5/24 (*.f64 1/48 (/.f64 1 x))))
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x 1/3) 9) (fma.f64 x 6 1)) (*.f64 x x)) (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1))))
(+.f64 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (.f64 (/.f64 (.f64 (+.f64 x 1/3) 9) (fma.f64 x 6 1)) (*.f64 x x)))
(-.f64 (.f64 (/.f64 (.f64 (+.f64 x 1/3) 9) (fma.f64 x 6 1)) (*.f64 x x)) (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)))) 1)
(-.f64 (/.f64 (-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9))) x) (fma.f64 x 6 1)) (/.f64 1/3 (fma.f64 x 6 1)))
(.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (/.f64 1 (fma.f64 x 6 1)))
(.f64 1 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)))
(.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 1)
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (/.f64 1 (fma.f64 x 6 1))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (/.f64 1 (fma.f64 x 6 1))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(.f64 (/.f64 1 (fma.f64 x 6 1)) (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)))
(.f64 (-.f64 (+.f64 x 1/3) (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)))) (/.f64 1 (-.f64 -1 (*.f64 x 6))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) (/.f64 (fma.f64 x 6 -1) (+.f64 (.f64 (*.f64 x x) 36) -1)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) (/.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))) (+.f64 1 (*.f64 216 (pow.f64 x 3)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 6 1))) (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (sqrt.f64 (fma.f64 x 6 1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 6 1)) 2)) (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (cbrt.f64 (fma.f64 x 6 1))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (+.f64 (.f64 (*.f64 x x) 36) -1)) (fma.f64 x 6 -1))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (+.f64 1 (.f64 216 (pow.f64 x 3)))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6))))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 36) -1)) (.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 -1)))
(.f64 (/.f64 1 (+.f64 1 (.f64 216 (pow.f64 x 3)))) (.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))))
(.f64 (/.f64 1 (-.f64 -1 (.f64 x 6))) (-.f64 (+.f64 x 1/3) (.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 1) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (fma.f64 x 6 1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (fma.f64 x 6 1)) (sqrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (pow.f64 (cbrt.f64 (fma.f64 x 6 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (cbrt.f64 (fma.f64 x 6 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (fma.f64 x 6 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 2) (sqrt.f64 (fma.f64 x 6 1))) (/.f64 (cbrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (sqrt.f64 (fma.f64 x 6 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 6 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (neg.f64 (+.f64 (.f64 (*.f64 x x) 36) -1))) (neg.f64 (fma.f64 x 6 -1)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (neg.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))))) (neg.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (-.f64 1 (.f64 (.f64 x x) 36))) (-.f64 1 (.f64 x 6)))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 6 1) (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))))) (sqrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 6 1) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 2))) (cbrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 2) (fma.f64 x 6 1)) (cbrt.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))))
(.f64 (/.f64 (-.f64 (+.f64 x 1/3) (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 36) -1))) (fma.f64 x 6 -1))
(.f64 (/.f64 (-.f64 (+.f64 x 1/3) (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)))) (neg.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (fma.f64 x 6 1))) (-.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (pow.f64 (+.f64 x 1/3) 2))) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (fma.f64 x 6 1))) (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) 3) (pow.f64 (+.f64 x 1/3) 3))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (-.f64 (pow.f64 (+.f64 x 1/3) 2) (.f64 (.f64 x x) (.f64 (*.f64 (+.f64 x 1/3) 9) (+.f64 x 1/3))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (fma.f64 x 6 1))) (+.f64 (.f64 (.f64 (.f64 x x) (-.f64 -1/3 x)) (+.f64 x -1/3)) (.f64 -1/9 (fma.f64 x x -1/9)))) (*.f64 -1/9 (+.f64 x -1/3)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (fma.f64 x 6 1))) (+.f64 (.f64 (.f64 (.f64 x x) (-.f64 -1/3 x)) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))) (.f64 -1/9 (+.f64 1/27 (pow.f64 x 3))))) (.f64 -1/9 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) 3) (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (fma.f64 x 6 1))) (-.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4))) (.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (+.f64 x 1/3))) (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (+.f64 x 1/3)))))) (-.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (+.f64 x 1/3)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) 3) (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (fma.f64 x 6 1))) (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) 3) (pow.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (+.f64 x 1/3))) 3))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4))) (-.f64 (.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (+.f64 x 1/3))) (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (+.f64 x 1/3)))) (.f64 (.f64 (pow.f64 (.f64 (+.f64 x 1/3) 9) 2) (pow.f64 x 4)) (.f64 (+.f64 x 1/3) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (+.f64 x 1/3)))))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) 1) (/.f64 (fma.f64 x 6 -1) (+.f64 (.f64 (*.f64 x x) 36) -1)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) 1) (/.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))) (+.f64 1 (*.f64 216 (pow.f64 x 3)))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) (+.f64 (.f64 (*.f64 x x) 36) -1)) (fma.f64 x 6 -1))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) (+.f64 1 (.f64 216 (pow.f64 x 3)))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) (neg.f64 (+.f64 (.f64 (*.f64 x x) 36) -1))) (neg.f64 (fma.f64 x 6 -1)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) (neg.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))))) (neg.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6)))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 1) (-.f64 1 (.f64 (.f64 x x) 36))) (-.f64 1 (.f64 x 6)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (sqrt.f64 (fma.f64 x 6 1))) (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 36) -1))) (sqrt.f64 (fma.f64 x 6 -1)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (sqrt.f64 (fma.f64 x 6 1))) (sqrt.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6)))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (pow.f64 (cbrt.f64 (fma.f64 x 6 1)) 2)) (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 36) -1))) (cbrt.f64 (fma.f64 x 6 -1)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (pow.f64 (cbrt.f64 (fma.f64 x 6 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 (.f64 (.f64 x x) 36) -1) (+.f64 (.f64 (.f64 x x) 36) -1))) (.f64 (fma.f64 x 6 -1) (fma.f64 x 6 -1)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))) (+.f64 1 (.f64 216 (pow.f64 x 3))))) (.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (+.f64 (.f64 (*.f64 x x) 36) -1))) (fma.f64 x 6 -1))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (+.f64 1 (.f64 216 (pow.f64 x 3))))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 (.f64 (*.f64 x x) 36) -1) (fma.f64 x 6 1))) (fma.f64 x 6 -1))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))) (fma.f64 x 6 1))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 (.f64 (.f64 x x) 36) -1) (+.f64 1 (.f64 216 (pow.f64 x 3))))) (.f64 (fma.f64 x 6 -1) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 36) -1))) (.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))) (fma.f64 x 6 -1)))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 6 1) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) -1)
(neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (-.f64 -1 (*.f64 x 6))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 3) (pow.f64 (fma.f64 x 6 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) x) -1/3)
(fma.f64 -3 (*.f64 x x) (+.f64 -1/3 x))
(-.f64 (+.f64 (.f64 27 (pow.f64 x 3)) (+.f64 (.f64 -3 (pow.f64 x 2)) x)) 1/3)
(+.f64 (fma.f64 27 (pow.f64 x 3) (fma.f64 -3 (*.f64 x x) x)) -1/3)
(fma.f64 27 (pow.f64 x 3) (fma.f64 -3 (*.f64 x x) (+.f64 -1/3 x)))
(*.f64 3/2 (pow.f64 x 2))
(.f64 3/2 (.f64 x x))
(.f64 x (.f64 x 3/2))
(+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x))
(fma.f64 3/2 (.f64 x x) (.f64 x 1/4))
(fma.f64 x 1/4 (.f64 x (.f64 x 3/2)))
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) 5/24)
(+.f64 (fma.f64 3/2 (.f64 x x) (.f64 x 1/4)) -5/24)
(fma.f64 3/2 (*.f64 x x) (fma.f64 x 1/4 -5/24))
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) (+.f64 5/24 (*.f64 1/48 (/.f64 1 x))))
(-.f64 (fma.f64 3/2 (.f64 x x) (.f64 x 1/4)) (+.f64 5/24 (/.f64 1/48 x)))
(fma.f64 3/2 (*.f64 x x) (-.f64 (fma.f64 x 1/4 -5/24) (/.f64 1/48 x)))
(+.f64 (fma.f64 3/2 (*.f64 x x) (fma.f64 x 1/4 -5/24)) (/.f64 -1/48 x))
(*.f64 3/2 (pow.f64 x 2))
(.f64 3/2 (.f64 x x))
(.f64 x (.f64 x 3/2))
(+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x))
(fma.f64 3/2 (.f64 x x) (.f64 x 1/4))
(fma.f64 x 1/4 (.f64 x (.f64 x 3/2)))
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) 5/24)
(+.f64 (fma.f64 3/2 (.f64 x x) (.f64 x 1/4)) -5/24)
(fma.f64 3/2 (*.f64 x x) (fma.f64 x 1/4 -5/24))
(-.f64 (+.f64 (.f64 3/2 (pow.f64 x 2)) (.f64 1/4 x)) (+.f64 5/24 (*.f64 1/48 (/.f64 1 x))))
(-.f64 (fma.f64 3/2 (.f64 x x) (.f64 x 1/4)) (+.f64 5/24 (/.f64 1/48 x)))
(fma.f64 3/2 (*.f64 x x) (-.f64 (fma.f64 x 1/4 -5/24) (/.f64 1/48 x)))
(+.f64 (fma.f64 3/2 (*.f64 x x) (fma.f64 x 1/4 -5/24)) (/.f64 -1/48 x))
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x 1/3) 9) (fma.f64 x 6 1)) (*.f64 x x)) (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1))))
(-.f64 (.f64 (/.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x 6 1) 9)) (.f64 x x)) (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)))
(fma.f64 (/.f64 (+.f64 3 (.f64 x 9)) (fma.f64 x 6 1)) (.f64 x x) (/.f64 (-.f64 -1/3 x) (fma.f64 x 6 1)))
(fma.f64 (.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)) 9) (.f64 x x) (/.f64 (-.f64 -1/3 x) (fma.f64 x 6 1)))
(+.f64 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (.f64 (/.f64 (.f64 (+.f64 x 1/3) 9) (fma.f64 x 6 1)) (*.f64 x x)))
(-.f64 (.f64 (/.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x 6 1) 9)) (.f64 x x)) (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)))
(fma.f64 (/.f64 (+.f64 3 (.f64 x 9)) (fma.f64 x 6 1)) (.f64 x x) (/.f64 (-.f64 -1/3 x) (fma.f64 x 6 1)))
(fma.f64 (.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)) 9) (.f64 x x) (/.f64 (-.f64 -1/3 x) (fma.f64 x 6 1)))
(-.f64 (.f64 (/.f64 (.f64 (+.f64 x 1/3) 9) (fma.f64 x 6 1)) (*.f64 x x)) (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)))
(-.f64 (.f64 (/.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x 6 1) 9)) (.f64 x x)) (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)))
(fma.f64 (/.f64 (+.f64 3 (.f64 x 9)) (fma.f64 x 6 1)) (.f64 x x) (/.f64 (-.f64 -1/3 x) (fma.f64 x 6 1)))
(fma.f64 (.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x 6 1)) 9) (.f64 x x) (/.f64 (-.f64 -1/3 x) (fma.f64 x 6 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)))) 1)
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(-.f64 (/.f64 (-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9))) x) (fma.f64 x 6 1)) (/.f64 1/3 (fma.f64 x 6 1)))
(-.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (neg.f64 x)) (fma.f64 x 6 1)) (/.f64 1/3 (fma.f64 x 6 1)))
(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 x 9)))) x) (fma.f64 x 6 1)) (/.f64 -1/3 (fma.f64 x 6 1)))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (*.f64 9 x)) x) (fma.f64 x 6 1)) (/.f64 -1/3 (fma.f64 x 6 1)))
(.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (/.f64 1 (fma.f64 x 6 1)))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(.f64 1 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 1)
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (/.f64 1 (fma.f64 x 6 1))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (/.f64 1 (fma.f64 x 6 1))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 2))
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(/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3))) (/.f64 (.f64 (fma.f64 x (.f64 x 36) -1) (fma.f64 x (.f64 x 36) -1)) (.f64 (fma.f64 x 6 -1) (fma.f64 x 6 -1))))
(.f64 (fma.f64 x 6 -1) (.f64 (fma.f64 x 6 -1) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (.f64 9 x)) (+.f64 x 1/3))) (.f64 (fma.f64 x (.f64 x 36) -1) (fma.f64 x (*.f64 x 36) -1)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))) (+.f64 1 (.f64 216 (pow.f64 x 3))))) (.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 (+.f64 x 1/3) 9)) (fma.f64 x 6 1))) (.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (.f64 (+.f64 1 (.f64 (pow.f64 x 3) 216)) (+.f64 1 (.f64 (pow.f64 x 3) 216)))) (.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))))
(.f64 (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3))) (fma.f64 (pow.f64 x 3) 216 1)) (/.f64 (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6)))) (fma.f64 (pow.f64 x 3) 216 1)))
(.f64 (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (.f64 9 x)) (+.f64 x 1/3))) (.f64 (fma.f64 (pow.f64 x 3) 216 1) (fma.f64 (pow.f64 x 3) 216 1))) (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (+.f64 1 (.f64 x (-.f64 (*.f64 x 36) 6)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (+.f64 (.f64 (*.f64 x x) 36) -1))) (fma.f64 x 6 -1))
(.f64 (fma.f64 x 6 -1) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 (+.f64 x 1/3) 9)) (fma.f64 x 6 1))) (.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (.f64 (fma.f64 x 6 1) (fma.f64 (.f64 x x) 36 -1))))
(.f64 (fma.f64 x 6 -1) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (fma.f64 x (*.f64 x 36) -1))))
(.f64 (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (.f64 9 x)) (+.f64 x 1/3))) (fma.f64 x 6 1)) (/.f64 (fma.f64 x 6 -1) (fma.f64 x (.f64 x 36) -1)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (+.f64 1 (.f64 216 (pow.f64 x 3))))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 (+.f64 x 1/3) 9)) (fma.f64 x 6 1))) (.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))) (.f64 (fma.f64 x 6 1) (+.f64 1 (*.f64 (pow.f64 x 3) 216))))
(.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (fma.f64 (pow.f64 x 3) 216 1))))
(/.f64 (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (*.f64 9 x)) (+.f64 x 1/3))) (fma.f64 (pow.f64 x 3) 216 1))) (fma.f64 x 6 1))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 (.f64 (*.f64 x x) 36) -1) (fma.f64 x 6 1))) (fma.f64 x 6 -1))
(.f64 (fma.f64 x 6 -1) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 (+.f64 x 1/3) 9)) (fma.f64 x 6 1))) (.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (.f64 (fma.f64 x 6 1) (fma.f64 (.f64 x x) 36 -1))))
(.f64 (fma.f64 x 6 -1) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (fma.f64 x (*.f64 x 36) -1))))
(.f64 (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (.f64 9 x)) (+.f64 x 1/3))) (fma.f64 x 6 1)) (/.f64 (fma.f64 x 6 -1) (fma.f64 x (.f64 x 36) -1)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))) (fma.f64 x 6 1))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (*.f64 x 6))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 (+.f64 x 1/3) 9)) (fma.f64 x 6 1))) (.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))) (.f64 (fma.f64 x 6 1) (+.f64 1 (*.f64 (pow.f64 x 3) 216))))
(.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3))) (.f64 (fma.f64 x 6 1) (fma.f64 (pow.f64 x 3) 216 1))))
(/.f64 (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (*.f64 9 x)) (+.f64 x 1/3))) (fma.f64 (pow.f64 x 3) 216 1))) (fma.f64 x 6 1))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 (.f64 (.f64 x x) 36) -1) (+.f64 1 (.f64 216 (pow.f64 x 3))))) (.f64 (fma.f64 x 6 -1) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))))
(.f64 (.f64 (fma.f64 x 6 -1) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 (+.f64 x 1/3) 9)) (fma.f64 x 6 1))) (.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (.f64 (fma.f64 (.f64 x x) 36 -1) (+.f64 1 (*.f64 (pow.f64 x 3) 216)))))
(.f64 (fma.f64 x 6 -1) (/.f64 (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3)))) (.f64 (fma.f64 x (.f64 x 36) -1) (fma.f64 (pow.f64 x 3) 216 1))))
(.f64 (fma.f64 x 6 -1) (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (.f64 9 x)) (+.f64 x 1/3))) (.f64 (fma.f64 x (.f64 x 36) -1) (fma.f64 (pow.f64 x 3) 216 1)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9))) (fma.f64 x 6 1)) (.f64 (fma.f64 x 6 1) (+.f64 x 1/3))) (.f64 (+.f64 1 (.f64 216 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 36) -1))) (.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6))) (fma.f64 x 6 -1)))
(.f64 (.f64 (fma.f64 x 6 -1) (+.f64 1 (-.f64 (.f64 (.f64 x x) 36) (.f64 x 6)))) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 (+.f64 x 1/3) 9)) (fma.f64 x 6 1))) (.f64 (+.f64 x 1/3) (fma.f64 x 6 1))) (.f64 (fma.f64 (.f64 x x) 36 -1) (+.f64 1 (*.f64 (pow.f64 x 3) 216)))))
(.f64 (fma.f64 x 6 -1) (/.f64 (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (.f64 (fma.f64 x 6 1) (-.f64 (.f64 x (.f64 x (+.f64 3 (.f64 x 9)))) (+.f64 x 1/3)))) (.f64 (fma.f64 x (.f64 x 36) -1) (fma.f64 (pow.f64 x 3) 216 1))))
(.f64 (fma.f64 x 6 -1) (.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x 36) 6))) (/.f64 (.f64 (fma.f64 x 6 1) (-.f64 (.f64 (.f64 x (+.f64 x 1/3)) (.f64 9 x)) (+.f64 x 1/3))) (.f64 (fma.f64 x (.f64 x 36) -1) (fma.f64 (pow.f64 x 3) 216 1)))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 1)
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 2)
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 3)
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 3) 1/3)
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(pow.f64 (/.f64 (fma.f64 x 6 1) (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) -1)
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (-.f64 -1 (*.f64 x 6))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x))) (-.f64 -1 (*.f64 x 6)))
(neg.f64 (/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (+.f64 -1 (*.f64 x -6))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 2))
(fabs.f64 (/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1)) 3))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) 3) (pow.f64 (fma.f64 x 6 1) 3)))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))) 1))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))))
(/.f64 (fma.f64 x (.f64 x (.f64 (+.f64 x 1/3) 9)) (-.f64 -1/3 x)) (fma.f64 x 6 1))
(/.f64 (fma.f64 x (.f64 x (+.f64 3 (.f64 x 9))) (-.f64 -1/3 x)) (fma.f64 x 6 1))

eval376.0ms (5.2%)

Compiler: Compiled 15911 to 11422 computations (28.2% saved)

prune128.0ms (1.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	0	2	2
Picked	1	0	1
Done	0	6	6
Total	472	9	481

Error

Counts

481 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.1b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x)))) (-.f64 -1/3 x))
	27.1b	(/.f64 (-.f64 (.f64 (.f64 x x) 3) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))
✓	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	14.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	0.1b	(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
✓	0.0b	(+.f64 x -1/3)
✓	14.1b	(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
	34.1b	x
	29.5b	-1/3

Compiler

Compiled 80 to 61 computations (23.8% saved)

regimes18.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
(/.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 (/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x)))) (-.f64 -1/3 x))
(/.f64 (-.f64 (.f64 (.f64 x x) 3) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (+.f64 (*.f64 6 x) 1))
(/.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 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(log.f64 (exp.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

10.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 155 to 107 computations (31% saved)

regimes9.0ms (0.1%)

Accuracy

Total -60.0b remaining (-3387.7%)

Threshold costs -60.0b (-3387.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.8b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch21.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	0.11216001682564279	0.4176340556404334
15.0ms	-1330878196.2524354	-0.0004757407401928079

Results

19.0ms

240×

body

256

valid

Compiler

Compiled 100 to 83 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 6124895493223875/18014398509481984) -1/3 x))
-1/3

Outputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -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×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	14	7
2	15	7

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end46.0ms (0.6%)

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

Details

analyze2.0ms (0%)

sample739.0ms (10.3%)

preprocess4.0ms (0.1%)

simplify23.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize3.0ms (0%)

series0.0ms (0%)

rewrite53.0ms (0.7%)

simplify92.0ms (1.3%)

eval7.0ms (0.1%)

prune26.0ms (0.4%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (0.8%)

simplify62.0ms (0.9%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite140.0ms (1.9%)

simplify142.0ms (2%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite107.0ms (1.5%)

simplify106.0ms (1.5%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite94.0ms (1.3%)

simplify150.0ms (2.1%)

eval884.0ms (12.3%)

prune418.0ms (5.8%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite61.0ms (0.8%)

simplify64.0ms (0.9%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite80.0ms (1.1%)

simplify118.0ms (1.6%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite89.0ms (1.2%)

simplify100.0ms (1.4%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite83.0ms (1.2%)

simplify82.0ms (1.1%)

localize27.0ms (0.4%)

series3.0ms (0%)

rewrite101.0ms (1.4%)

simplify96.0ms (1.3%)

eval1.3s (18.3%)

prune916.0ms (12.8%)

localize27.0ms (0.4%)

series1.0ms (0%)

rewrite90.0ms (1.3%)

simplify96.0ms (1.3%)

eval376.0ms (5.2%)

prune128.0ms (1.8%)

regimes18.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch21.0ms (0.3%)

simplify6.0ms (0.1%)

soundness12.0ms (0.2%)

end46.0ms (0.6%)

Profiling