Details

analyze3.0ms (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)

sample825.0ms (13.2%)

Results

815.0ms

8256×

body

256

valid

Bogosity

preprocess14.0ms (0.2%)

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)

simplify11.0ms (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

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.02%

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (1.2%)

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)))))

simplify47.0ms (0.7%)

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)

prune6.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Error

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.21%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	37.56%	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
✓	0.02%	(+.f64 x -1/3)
▶	26.31%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
	44.87%	x
	53.18%	-1/3

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x 1/3)
✓	0.03%	(/.f64 1 (+.f64 x 1/3))
✓	24.57%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`associate-*r/`
894×	`*-commutative`
870×	`associate-/r*`
744×	`associate-*l/`
460×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	233	27
2	2823	27

Stop Event

1×	node limit

Counts

3 → 329

Calls

Call 1

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

Outputs
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Outputs

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simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-/l*`
1106×	`associate-/r*`
1044×	`associate-r`
922×	`associate-l`
798×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	12265
1	2104	12043

Stop Event

1×	node limit

Counts

365 → 524

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

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))
✓	0.03%	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	0.56%	(*.f64 x -1/3)
✓	36.39%	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite115.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`associate-/r*`
976×	`associate-/l*`
736×	`associate-/r/`
440×	`associate-+l+`
330×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	337	68
2	4516	68

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

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

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

simplify182.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-r`
728×	`+-commutative`
682×	`associate-l`
612×	`distribute-lft-in`
592×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	15032
1	2084	13200

Stop Event

1×	node limit

Counts

354 → 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)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 1/3 x)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
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(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(fma.f64 x x (*.f64 x 1/3))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 1 (.f64 x x) (.f64 x 1/3))
(fma.f64 1 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (.f64 x -1/3)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(-.f64 (.f64 x x) (-.f64 (.f64 x -1/3) 1/9))
(-.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3))) 1/9))
(-.f64 (.f64 x x) (-.f64 (.f64 x -1/3) (+.f64 1/9 (fma.f64 1/3 x (*.f64 x -1/3)))))
(-.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3))) (+.f64 1/9 (fma.f64 1/3 x (.f64 x -1/3)))))
(-.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x -1/3) 1/9) (fma.f64 1/3 x (*.f64 x -1/3))))
(-.f64 (+.f64 1/9 (.f64 x x)) (.f64 x -1/3))
(-.f64 (+.f64 1/9 (.f64 x x)) (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (-.f64 1 (fma.f64 1/3 x (*.f64 x -1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3)))) 8/9)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 x 1/3)))) (-.f64 1 (+.f64 1/9 (fma.f64 1/3 x (.f64 x -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x x))) (-.f64 1 (+.f64 1/9 (.f64 x 1/3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x x))) (+.f64 1 (-.f64 (.f64 x -1/3) 1/9)))
(-.f64 (/.f64 1/81 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (/.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(-.f64 (/.f64 1/81 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (fma.f64 1/3 x (.f64 x -1/3))))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (+.f64 x -1/3))) (-.f64 (/.f64 1/9 (/.f64 (.f64 x (+.f64 x -1/3)) (*.f64 x x))) 1/9))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (+.f64 x -1/3))) (-.f64 (/.f64 1/9 (/.f64 (.f64 x (+.f64 x -1/3)) (.f64 x x))) (+.f64 1/9 (fma.f64 1/3 x (.f64 x -1/3)))))
(-.f64 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))) (-.f64 (/.f64 -1/27 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (pow.f64 x 3))) 1/9))
(-.f64 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))) (-.f64 (/.f64 -1/27 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (pow.f64 x 3))) (+.f64 1/9 (fma.f64 1/3 x (*.f64 x -1/3)))))
(-.f64 (+.f64 1/9 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))) 1)
(-.f64 (+.f64 1/9 (/.f64 (pow.f64 x 4) (.f64 x (+.f64 x -1/3)))) (/.f64 1/9 (/.f64 (.f64 x (+.f64 x -1/3)) (*.f64 x x))))
(-.f64 (+.f64 1/9 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))))) (/.f64 -1/27 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 1/9 (.f64 x x)) 0) (.f64 x -1/3))
(*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(*.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9)))))
(.f64 (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))
(.f64 (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)))) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (+.f64 1/81 (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (.f64 1/9 (.f64 x (+.f64 x 1/3))))))
(.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (-.f64 1/6561 (.f64 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)) (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))))) (-.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))))
(.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 1/531441 (pow.f64 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)) 3))) (-.f64 (+.f64 1/6561 (.f64 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)) (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)))) (.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)))))
(/.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(/.f64 1 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x 1/3))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (/.f64 1 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))))))
(/.f64 (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (/.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))) (sqrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)))) (/.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))) (cbrt.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)))) (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (cbrt.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (neg.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) 1/81) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))
(/.f64 (-.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x))) (+.f64 1/9 (.f64 x (+.f64 x -1/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/9 (.f64 x x)) 3) (.f64 -1/27 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x))) (.f64 (+.f64 1/9 (.f64 x x)) (.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) 1) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (sqrt.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (cbrt.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) 1) (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9))))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9)))))
(/.f64 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9)))))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 -1/3 x)
✓	0.01%	(-.f64 1/9 (*.f64 x x))
✓	24.47%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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 (-.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))

rewrite101.0ms (1.6%)

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

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simplify128.0ms (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)) (.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)

eval1.0s (16%)

Compiler: Compiled 35369 to 25525 computations (27.8% saved)

prune775.0ms (12.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1449	3	1452
Fresh	0	2	2
Picked	1	0	1
Done	2	1	3
Total	1452	6	1458

Error

Counts

1458 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.93%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) -1/9)))
▶	53.84%	(/.f64 1/9 (-.f64 -1/3 x))
✓	0.02%	(+.f64 x -1/3)
▶	26.31%	(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
	44.87%	x
	53.18%	-1/3

Compiler

Compiled 46 to 31 computations (32.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(-.f64 -1/3 x)
	0.01%	(-.f64 1/9 (*.f64 x x))
✓	0.03%	(/.f64 1 (-.f64 -1/3 x))
✓	24.57%	(.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)))

rewrite101.0ms (1.6%)

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

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(pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/9 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 1/9 (*.f64 x x)))) (+.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 -1/27 (pow.f64 x 3)))) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1/3 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (-.f64 -1/3 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1/3 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify126.0ms (2%)

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))
(+.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 -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 (.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 (.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)))))
(+.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 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 (-.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 -1/3 (neg.f64 x))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) 4/3)
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x)))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.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 (-.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 (/.f64 1 (-.f64 -1/3 x)) (/.f64 1 (-.f64 1/9 (*.f64 x x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.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 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (-.f64 -1/3 x) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (/.f64 (-.f64 -1/3 x) (cbrt.f64 (-.f64 1/9 (.f64 x x)))) (cbrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (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 -1/3 x) 1)
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (-.f64 -1/3 x) (+.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 (-.f64 -1/3 x) (/.f64 1 (+.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 (+.f64 1/9 (*.f64 x x)) (/.f64 1 (-.f64 -1/3 x))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 (.f64 (-.f64 -1/3 x) (+.f64 1/9 (.f64 x x))) 1))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/3 x)) -1))
(/.f64 (-.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 1/729 (pow.f64 x 6)) (/.f64 (-.f64 -1/3 x) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81)))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81)) (/.f64 1 (-.f64 -1/3 x))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 (.f64 (-.f64 -1/3 x) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81))) 1))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 (.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81)) (+.f64 1/3 x)) -1))
(/.f64 -1 (/.f64 (+.f64 1/3 x) (-.f64 1/9 (*.f64 x x))))
(/.f64 -1 (/.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/3 x)) (-.f64 1/81 (pow.f64 x 4))))
(/.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81)) (+.f64 1/3 x)) (-.f64 1/729 (pow.f64 x 6))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (.f64 (-.f64 -1/3 x) (+.f64 1/9 (.f64 x x))) (sqrt.f64 (-.f64 1/81 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (.f64 (/.f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x))) (sqrt.f64 (+.f64 1/9 (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (.f64 (-.f64 -1/3 x) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81))) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 (/.f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x))) (sqrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x))) (sqrt.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x))) (sqrt.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (/.f64 (/.f64 (-.f64 -1/3 x) (cbrt.f64 (-.f64 1/9 (.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))) (/.f64 (.f64 (-.f64 -1/3 x) (+.f64 1/9 (*.f64 x x))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (/.f64 (.f64 (-.f64 -1/3 x) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2))) (/.f64 (/.f64 (-.f64 -1/3 x) (cbrt.f64 (-.f64 1/9 (.f64 x x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2))))
(/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) (+.f64 1/3 x))
(/.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/81 (pow.f64 x 4))) (+.f64 1/9 (.f64 x x)))
(/.f64 (.f64 (/.f64 1 (-.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 (-.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)) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (cbrt.f64 (-.f64 -1/3 x)))
(/.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 -1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 1/9 (.f64 x (+.f64 -1/3 x)))))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (+.f64 1/3 x))
(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (.f64 (-.f64 -1/3 x) (+.f64 1/9 (*.f64 x x))))
(/.f64 (-.f64 1/6561 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (.f64 (-.f64 -1/3 x) (+.f64 1/9 (.f64 x x))) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.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 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 -1/3 x))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (.f64 (-.f64 -1/3 x) (+.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 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (.f64 (-.f64 -1/3 x) (+.f64 1/9 (.f64 x x))) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 1/81 (pow.f64 x 4))))))
(/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (.f64 (-.f64 -1/3 x) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81))) (+.f64 (+.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 1/729 (pow.f64 x 6)))))
(/.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 1/81 (pow.f64 x 4)) -1) (.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/3 x)))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) -1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81)) (+.f64 1/3 x)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (.f64 (-.f64 -1/3 x) (neg.f64 (+.f64 1/9 (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 (-.f64 -1/3 x) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81)))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 -1/3 x)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/3 x)) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81)))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/81 (pow.f64 x 4))) 1) (+.f64 1/9 (.f64 x x)))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/81 (pow.f64 x 4))) (sqrt.f64 (+.f64 1/9 (.f64 x x)))) (sqrt.f64 (+.f64 1/9 (*.f64 x x))))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/81 (pow.f64 x 4))) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (cbrt.f64 (+.f64 1/9 (.f64 x x))))) (cbrt.f64 (+.f64 1/9 (*.f64 x x))))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/729 (pow.f64 x 6))) 1) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81)))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/729 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81))))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/729 (pow.f64 x 6))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81))) (cbrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (.f64 x 1/9)) 1/81))))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) 1) (+.f64 1/3 x))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) (sqrt.f64 (-.f64 -1/3 x))) (neg.f64 (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (neg.f64 (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) -1) (-.f64 -1/3 x))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (+.f64 1/3 x)))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) (*.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (+.f64 1/3 x)))) (cbrt.f64 (+.f64 1/3 x)))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) (neg.f64 (sqrt.f64 (-.f64 -1/3 x)))) (sqrt.f64 (-.f64 -1/3 x)))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) -1) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))) (cbrt.f64 (-.f64 -1/3 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) 1) (sqrt.f64 (-.f64 -1/3 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (cbrt.f64 (-.f64 -1/3 x))) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (sqrt.f64 (-.f64 -1/3 x)))) (sqrt.f64 (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) 1) (cbrt.f64 (-.f64 -1/3 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 -1/3 x)))) (sqrt.f64 (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 x)))) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/3 x))) (cbrt.f64 (cbrt.f64 (-.f64 -1/3 x))))) (cbrt.f64 (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) 1) (+.f64 1/3 x))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 -1/3 x))) (neg.f64 (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (neg.f64 (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) -1) (-.f64 -1/3 x))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (+.f64 1/3 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (+.f64 1/3 x)))) (cbrt.f64 (+.f64 1/3 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 -1/3 x)))) (sqrt.f64 (-.f64 -1/3 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))) (cbrt.f64 (-.f64 -1/3 x)))
(/.f64 (/.f64 (.f64 (-.f64 1/81 (pow.f64 x 4)) -1) (+.f64 1/3 x)) (+.f64 1/9 (.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) -1) (+.f64 1/3 x)) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81)))
(/.f64 (/.f64 (.f64 (-.f64 1/81 (pow.f64 x 4)) -1) (+.f64 1/9 (.f64 x x))) (+.f64 1/3 x))
(/.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) -1) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x (*.f64 x 1/9)) 1/81))) (+.f64 1/3 x))
(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)
(pow.f64 (+.f64 -1/3 x) 1)
(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))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 3) (/.f64 1 (pow.f64 (-.f64 -1/3 x) 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) (pow.f64 (-.f64 -1/3 x) 3)))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 -1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 -1/3 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) -1/3) (.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) x))
(+.f64 (.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) x) (.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) -1/3))
(+.f64 (.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) (/.f64 1/9 (-.f64 -1/3 x))) (.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x (neg.f64 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))) 1/9) (.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))) (*.f64 x (+.f64 -1/3 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))) (.f64 x (+.f64 -1/3 x))) (*.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))) 1/9))
(+.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)
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(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
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(.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 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 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 1/9 (.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 (+.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 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1/3 x)))) 1)
(/.f64 1 (-.f64 -1/3 x))
(*.f64 1 (/.f64 1 (-.f64 -1/3 x)))
(/.f64 1 (-.f64 -1/3 x))
(*.f64 (/.f64 1 (-.f64 -1/3 x)) 1)
(/.f64 1 (-.f64 -1/3 x))
(*.f64 (pow.f64 (-.f64 -1/3 x) -1/2) (pow.f64 (-.f64 -1/3 x) -1/2))
(/.f64 1 (-.f64 -1/3 x))
(*.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)) (cbrt.f64 (-.f64 -1/3 x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1/3 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 -1/3 x))))
(*.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)) (cbrt.f64 (-.f64 -1/3 x)))
(.f64 (+.f64 -1/3 x) (/.f64 1 (-.f64 1/9 (.f64 x 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 1/9 (.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 -1 (/.f64 1 (+.f64 1/3 x)))
(/.f64 -1 (+.f64 x 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 1 (-.f64 -1/3 x))
(.f64 (/.f64 1 (-.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 (-.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 1 (+.f64 1/3 x)) -1)
(/.f64 -1 (+.f64 x 1/3))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 -1/3 x)) -1) (pow.f64 (sqrt.f64 (-.f64 -1/3 x)) -1))
(pow.f64 (sqrt.f64 (-.f64 -1/3 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) -1))
(/.f64 1 (-.f64 -1/3 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2) -1))
(/.f64 1 (-.f64 -1/3 x))
(.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 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 1/9 (*.f64 x 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 (+.f64 -1/3 x) (cbrt.f64 (-.f64 1/9 (.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2))
(.f64 (/.f64 1 (-.f64 1/81 (pow.f64 x 4))) (.f64 (+.f64 -1/3 x) (+.f64 1/9 (*.f64 x x))))
(/.f64 (+.f64 -1/3 x) (/.f64 (-.f64 1/81 (pow.f64 x 4)) (fma.f64 x x 1/9)))
(.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 (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/3 x)) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/9) 1/81)))
(.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/9) 1/81)) (/.f64 (+.f64 -1/3 x) (-.f64 1/729 (pow.f64 x 6))))
(.f64 (/.f64 (+.f64 -1/3 x) (-.f64 1/81 (pow.f64 x 4))) (+.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 -1/3 x) (/.f64 (-.f64 1/81 (pow.f64 x 4)) (fma.f64 x x 1/9)))
(.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 (/.f64 1 (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/3 x)) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/9) 1/81)))
(.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/9) 1/81)) (/.f64 (+.f64 -1/3 x) (-.f64 1/729 (pow.f64 x 6))))
(.f64 (/.f64 1 (neg.f64 (-.f64 1/9 (.f64 x x)))) (neg.f64 (+.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)))) (neg.f64 (+.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 -1/3 x) (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))))) (+.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 -1/3 x) (/.f64 (-.f64 1/81 (pow.f64 x 4)) (fma.f64 x x 1/9)))
(.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 (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/3 x)) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/9) 1/81)))
(.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/9) 1/81)) (/.f64 (+.f64 -1/3 x) (-.f64 1/729 (pow.f64 x 6))))
(.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 -1/9 (.f64 x (neg.f64 x))) (/.f64 (+.f64 -1/3 x) (neg.f64 (-.f64 1/81 (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1/3 x) (fma.f64 x x 1/9)) (+.f64 -1/81 (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1/3 x) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81))
(.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 (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/9) 1/81))) (/.f64 (+.f64 -1/3 x) (neg.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (.f64 (-.f64 1/3 x) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/9) 1/81))) (+.f64 -1/729 (pow.f64 x 6)))
(/.f64 (.f64 (-.f64 1/3 x) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/9) 1/81))) (+.f64 (pow.f64 x 6) -1/729))
(.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 (pow.f64 x 3) -1/27) (/.f64 (+.f64 1/9 (.f64 x (+.f64 -1/3 x))) (-.f64 1/729 (pow.f64 x 6))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 (fma.f64 x (+.f64 -1/3 x) 1/9) (-.f64 1/729 (pow.f64 x 6))))
(.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 (+.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 (pow.f64 x 3) -1/27)))
(/.f64 (fma.f64 x (+.f64 -1/3 x) 1/9) (/.f64 (-.f64 -1/19683 (*.f64 x (pow.f64 x 8))) (fma.f64 (pow.f64 x 3) -1/27 (+.f64 1/729 (pow.f64 x 6)))))
(.f64 (/.f64 1 (-.f64 1/9 (.f64 (neg.f64 x) (neg.f64 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 (+.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 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 (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 -1/3 x))) (sqrt.f64 (-.f64 1/9 (.f64 x 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 (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))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(-.f64 -1/3 x)
✓	0.32%	(/.f64 1/9 (-.f64 -1/3 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`add-sqr-sqrt`
1614×	`*-un-lft-identity`
1528×	`add-cube-cbrt`
1518×	`add-cbrt-cube`
154×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	160	13
2	1989	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-+r+`
1202×	`associate-r`
1156×	`associate-+l+`
992×	`associate-l`
952×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	722
1	248	718
2	750	714
3	3702	714

Stop Event

1×	node limit

Counts

36 → 60

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 x 1/3)
✓	0.05%	(.f64 (+.f64 x 1/3) (-.f64 (.f64 x x) -1/9))
✓	0.19%	(.f64 (.f64 x x) (*.f64 x x))
✓	38.87%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) -1/9)))

Compiler

Compiled 60 to 25 computations (58.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite92.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`associate-/l/`
1190×	`distribute-rgt-in`
1130×	`distribute-lft-in`
310×	`add-sqr-sqrt`
296×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	310	35
2	4443	35

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 1 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 -1/81 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))) (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) (pow.f64 x 4)) (*.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 6) 1/729)) (*.f64 (-.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 6) 1/729)) (*.f64 1 (*.f64 (-.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) -1/81)) (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) -1/81)) (*.f64 1 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 (pow.f64 x 6) 1/729)) (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 (pow.f64 x 6) 1/729)) (*.f64 1 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x -1/9)) (*.f64 (fma.f64 x x -1/9) (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x -1/9)) (*.f64 1 (*.f64 (fma.f64 x x -1/9) (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/27 (pow.f64 x 3))) (*.f64 (fma.f64 x x -1/9) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/27 (pow.f64 x 3))) (*.f64 1 (*.f64 (fma.f64 x x -1/9) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) 1/729) (fma.f64 x x -1/9)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9))) (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) 1/729) (fma.f64 x x -1/9)) (*.f64 1 (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9))) (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 1/27 (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 1/27 (pow.f64 x 3))) (*.f64 1 (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (*.f64 x x) -1/9))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x 1/9)) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (fma.f64 x x 1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x 1/9) 3) (pow.f64 (+.f64 x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9))))))))

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/r/`
970×	`associate-/l/`
502×	`associate-r`
482×	`associate-+r+`
462×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	6123
1	1052	4917
2	4571	4915

Stop Event

1×	node limit

Counts

183 → 207

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

eval815.0ms (13%)

Compiler: Compiled 33470 to 22204 computations (33.7% saved)

prune425.0ms (6.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1362	2	1364
Fresh	0	2	2
Picked	1	0	1
Done	1	2	3
Total	1364	6	1370

Error

Counts

1370 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.67%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))
✓	53.84%	(/.f64 1/9 (-.f64 -1/3 x))
✓	0.02%	(+.f64 x -1/3)
▶	53.85%	(*.f64 (/.f64 1 (-.f64 -1/3 x)) 1/9)
	44.87%	x
	53.18%	-1/3

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(-.f64 -1/3 x)
	0.03%	(/.f64 1 (-.f64 -1/3 x))
✓	0.29%	(*.f64 (/.f64 1 (-.f64 -1/3 x)) 1/9)

Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1698×	`add-cube-cbrt`
1686×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	193	13
2	2270	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1532×	`distribute-rgt-in`
1510×	`distribute-lft-in`
1208×	`associate-/l*`
644×	`associate-+l+`
624×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	580
1	196	580
2	561	580
3	2695	580

Stop Event

1×	node limit

Counts

30 → 45

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.19%	(.f64 (.f64 x x) (*.f64 x x))
✓	0.59%	(*.f64 x 1/9)
✓	2.18%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))

Compiler

Compiled 47 to 21 computations (55.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 x 1/9)
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))
0.0ms	x	@	inf	(*.f64 x 1/9)
0.0ms	x	@	0	(*.f64 x 1/9)
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`associate-*l/`
1500×	`associate-/l*`
1440×	`associate-/r*`
772×	`associate-/r/`
272×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	276	34
2	3696	34

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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1/6561 (*.f64 (pow.f64 x 4) 1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x x) 6) -1/531441) (/.f64 1 (fma.f64 x 1/9 1/27))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 4) (pow.f64 (*.f64 x x) 4)) (*.f64 (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81)) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81))))) (-.f64 (pow.f64 (*.f64 x x) 4) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x x) 6) -1/531441) (/.f64 1 (fma.f64 x 1/9 1/27))) (+.f64 (pow.f64 (pow.f64 (*.f64 x x) 4) 3) (pow.f64 (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 4) (pow.f64 (*.f64 x x) 4)) (-.f64 (*.f64 (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81)) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81))) (*.f64 (pow.f64 (*.f64 x x) 4) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 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(*.f64 x x) 1/81)) (*.f64 1/243 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (*.f64 (fma.f64 x 1/9 1/27) 1/81)) (*.f64 (-.f64 1/729 (*.f64 (*.f64 x x) 1/81)) (fma.f64 x 1/9 1/27))) (+.f64 1/27 (*.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (*.f64 (fma.f64 x 1/9 1/27) 1/81)) (*.f64 (+.f64 1/19683 (*.f64 1/729 (pow.f64 x 3))) (fma.f64 x 1/9 1/27))) (-.f64 (+.f64 1/729 (*.f64 (*.f64 x x) 1/81)) (*.f64 1/243 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (*.f64 (fma.f64 x 1/9 1/27) 1/81)) (*.f64 (-.f64 1/729 (*.f64 (*.f64 x x) 1/81)) (+.f64 1/19683 (*.f64 1/729 (pow.f64 x 3))))) (*.f64 (+.f64 1/27 (*.f64 -1/9 x)) (-.f64 (+.f64 1/729 (*.f64 (*.f64 x x) 1/81)) (*.f64 1/243 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (*.f64 (fma.f64 x 1/9 1/27) 1/81)) (*.f64 (+.f64 1/19683 (*.f64 1/729 (pow.f64 x 3))) (-.f64 1/729 (*.f64 (*.f64 x x) 1/81)))) (*.f64 (-.f64 (+.f64 1/729 (*.f64 (*.f64 x x) 1/81)) (*.f64 1/243 x)) (+.f64 1/27 (*.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/9 1/27) (+.f64 (pow.f64 x 4) -1/81)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 -1/27 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))))))

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

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-/l*`
1266×	`associate-*r/`
1184×	`associate-*l/`
536×	`+-commutative`
534×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	4443
1	790	4011
2	3327	3997

Stop Event

1×	node limit

Counts

101 → 157

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(*.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 (.f64 9 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(*.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 (.f64 9 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))))
(+.f64 (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))) (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))) 1)
(*.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 1 (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (+.f64 (pow.f64 x 4) -1/81))
(*.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (+.f64 1/27 (.f64 -1/9 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(.f64 (/.f64 1 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/27 (*.f64 -1/9 x))))
(.f64 (/.f64 1 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(*.f64 (/.f64 -1 (fma.f64 x 1/9 1/27)) (-.f64 1/81 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (neg.f64 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (neg.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 (.f64 (.f64 x x) 1/81) 1/729)) (-.f64 (.f64 x 1/9) 1/27))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x 1/9 1/27) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (+.f64 1/27 (.f64 -1/9 x)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (neg.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561) (/.f64 1 (fma.f64 x 1/9 1/27))) (+.f64 (pow.f64 (.f64 x x) 4) -1/6561)) (+.f64 (pow.f64 x 4) -1/81))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561) (/.f64 1 (fma.f64 x 1/9 1/27))) (+.f64 1/531441 (pow.f64 (.f64 x x) 6))) (+.f64 (pow.f64 (.f64 x x) 4) (-.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (/.f64 1 (fma.f64 x 1/9 1/27))) (-.f64 (.f64 (pow.f64 (.f64 x x) 4) (pow.f64 (.f64 x x) 4)) (.f64 (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))) (-.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (/.f64 1 (fma.f64 x 1/9 1/27))) (+.f64 (pow.f64 (pow.f64 (.f64 x x) 4) 3) (pow.f64 (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)) 3))) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) (pow.f64 (.f64 x x) 4)) (-.f64 (.f64 (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))) (.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (.f64 (+.f64 1/27 (.f64 -1/9 x)) (+.f64 1/27 (*.f64 -1/9 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (fma.f64 x 1/9 1/27) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (+.f64 1/27 (*.f64 -1/9 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (fma.f64 x 1/9 1/27) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (fma.f64 x 1/9 1/27))) (+.f64 1/27 (*.f64 -1/9 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (fma.f64 x 1/9 1/27))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (.f64 (+.f64 1/27 (.f64 -1/9 x)) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)) (+.f64 1/27 (.f64 -1/9 x))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/9 1/27) (+.f64 (pow.f64 x 4) -1/81)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 -1/27 (*.f64 x 1/9))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/9))) 1)
(pow.f64 (*.f64 x 1/9) 1)
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
(pow.f64 (*.f64 1/729 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/81))
(log.f64 (exp.f64 (*.f64 x 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 1/729 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/9)))
(exp.f64 (log.f64 (*.f64 x 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/9)))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) x) -1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(*.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 (.f64 x x) (+.f64 -3 (*.f64 x 9)))
(+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x))
(fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(*.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 (.f64 x x) (+.f64 -3 (*.f64 x 9)))
(+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x))
(fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 -1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 1/81 (fma.f64 x 1/9 1/27)))
(+.f64 (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))) (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 -1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 1/81 (fma.f64 x 1/9 1/27)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 -1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))) 1)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 1 (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (sqrt.f64 (fma.f64 x 1/9 1/27)) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (cbrt.f64 (fma.f64 x 1/9 1/27))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (+.f64 1/27 (.f64 -1/9 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 x (.f64 x 1/81)))) (+.f64 1/27 (.f64 x -1/9)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/729 (.f64 -1/81 (*.f64 x x)))) (fma.f64 x -1/9 1/27))
(/.f64 (fma.f64 x -1/9 1/27) (/.f64 (+.f64 1/729 (.f64 x (.f64 x -1/81))) (+.f64 (pow.f64 x 4) -1/81)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729))) (+.f64 1/729 (-.f64 (.f64 x (.f64 x 1/81)) (*.f64 x 1/243))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 (pow.f64 x 3) 1/729 1/19683)) (+.f64 1/729 (.f64 x (-.f64 (*.f64 x 1/81) 1/243))))
(.f64 (/.f64 1 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/27 (*.f64 -1/9 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 x (.f64 x 1/81)))) (+.f64 1/27 (.f64 x -1/9)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/729 (.f64 -1/81 (*.f64 x x)))) (fma.f64 x -1/9 1/27))
(/.f64 (fma.f64 x -1/9 1/27) (/.f64 (+.f64 1/729 (.f64 x (.f64 x -1/81))) (+.f64 (pow.f64 x 4) -1/81)))
(.f64 (/.f64 1 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729))) (+.f64 1/729 (-.f64 (.f64 x (.f64 x 1/81)) (*.f64 x 1/243))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 (pow.f64 x 3) 1/729 1/19683)) (+.f64 1/729 (.f64 x (-.f64 (*.f64 x 1/81) 1/243))))
(*.f64 (/.f64 -1 (fma.f64 x 1/9 1/27)) (-.f64 1/81 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (cbrt.f64 (fma.f64 x 1/9 1/27))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (neg.f64 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (-.f64 1/729 (.f64 x (.f64 x 1/81))))) (+.f64 -1/27 (neg.f64 (.f64 x -1/9))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 1/81 (.f64 x x) -1/729)) (fma.f64 x 1/9 -1/27))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27)))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (+.f64 1/729 (-.f64 (.f64 x (.f64 x 1/81)) (.f64 x 1/243)))) (.f64 (fma.f64 x 1/9 1/27) (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729))))
(.f64 (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))) (/.f64 (.f64 (fma.f64 x 1/9 1/27) (-.f64 (pow.f64 x 4) 1/81)) (*.f64 (fma.f64 x 1/9 1/27) (fma.f64 (pow.f64 x 3) 1/729 1/19683))))
(/.f64 (.f64 (.f64 (fma.f64 x 1/9 1/27) (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))) (fma.f64 x 1/9 1/27))) (fma.f64 (pow.f64 x 3) 1/729 1/19683))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (.f64 (+.f64 1/27 (.f64 -1/9 x)) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 x (.f64 x 1/81))) (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729)))) (.f64 (+.f64 1/27 (.f64 x -1/9)) (+.f64 1/729 (-.f64 (.f64 x (.f64 x 1/81)) (.f64 x 1/243)))))
(/.f64 (.f64 (.f64 (fma.f64 x -1/9 1/27) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243)))) (/.f64 (.f64 (fma.f64 x 1/9 1/27) (-.f64 (pow.f64 x 4) 1/81)) (+.f64 1/729 (.f64 -1/81 (*.f64 x x))))) (fma.f64 (pow.f64 x 3) 1/729 1/19683))
(.f64 (fma.f64 x -1/9 1/27) (.f64 (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))) (/.f64 (.f64 (fma.f64 x 1/9 1/27) (+.f64 (pow.f64 x 4) -1/81)) (.f64 (+.f64 1/729 (.f64 x (.f64 x -1/81))) (fma.f64 (pow.f64 x 3) 1/729 1/19683)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)) (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 x (.f64 x 1/81))) (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729)))) (.f64 (+.f64 1/27 (.f64 x -1/9)) (+.f64 1/729 (-.f64 (.f64 x (.f64 x 1/81)) (.f64 x 1/243)))))
(/.f64 (.f64 (.f64 (fma.f64 x -1/9 1/27) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243)))) (/.f64 (.f64 (fma.f64 x 1/9 1/27) (-.f64 (pow.f64 x 4) 1/81)) (+.f64 1/729 (.f64 -1/81 (*.f64 x x))))) (fma.f64 (pow.f64 x 3) 1/729 1/19683))
(.f64 (fma.f64 x -1/9 1/27) (.f64 (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))) (/.f64 (.f64 (fma.f64 x 1/9 1/27) (+.f64 (pow.f64 x 4) -1/81)) (.f64 (+.f64 1/729 (.f64 x (.f64 x -1/81))) (fma.f64 (pow.f64 x 3) 1/729 1/19683)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 3)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3) 1/3)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(pow.f64 (/.f64 (fma.f64 x 1/9 1/27) (+.f64 (pow.f64 x 4) -1/81)) -1)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 -1/27 (*.f64 x 1/9))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1/81)) (-.f64 -1/27 (*.f64 x 1/9)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 (*.f64 x -1/9) -1/27))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 -1/27 (*.f64 x 1/9)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 2))
(fabs.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 1))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/9))) 1)
(*.f64 x 1/9)
(pow.f64 (*.f64 x 1/9) 1)
(*.f64 x 1/9)
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
(*.f64 x 1/9)
(pow.f64 (*.f64 1/729 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/729))
(sqrt.f64 (.f64 (.f64 x x) 1/81))
(sqrt.f64 (.f64 x (.f64 x 1/81)))
(sqrt.f64 (.f64 1/81 (.f64 x x)))
(log.f64 (exp.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/9))))
(*.f64 x 1/9)
(cbrt.f64 (*.f64 1/729 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(exp.f64 (log.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(exp.f64 (.f64 (log.f64 (.f64 x 1/9)) 1))
(*.f64 x 1/9)
(log1p.f64 (expm1.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)

eval256.0ms (4.1%)

Compiler: Compiled 12052 to 9139 computations (24.2% saved)

prune172.0ms (2.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	558	0	558
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	558	6	564

Error

Counts

564 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.67%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))
✓	53.84%	(/.f64 1/9 (-.f64 -1/3 x))
✓	0.02%	(+.f64 x -1/3)
✓	53.85%	(*.f64 (/.f64 1 (-.f64 -1/3 x)) 1/9)
	44.87%	x
	53.18%	-1/3

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes17.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/3)

Calls

2 calls:

8.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 110 to 70 computations (36.4% saved)

regimes9.0ms (0.1%)

Accuracy

Total -60.8b remaining (-6143.9%)

Threshold costs -60.8b (-6143.9%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.55%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch60.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	3.427942751361312e-13	72.17330020399665
16.0ms	-300.2487432397917	-2.256552464206923e-9

Results

54.0ms

320×

body

256

valid

Compiler

Compiled 130 to 108 computations (16.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

soundness13.0ms (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)

end21.0ms (0.3%)

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

Details

analyze3.0ms (0%)

sample825.0ms (13.2%)

preprocess14.0ms (0.2%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0%)

series0.0ms (0%)

rewrite77.0ms (1.2%)

simplify47.0ms (0.7%)

eval7.0ms (0.1%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite93.0ms (1.5%)

simplify123.0ms (2%)

localize18.0ms (0.3%)

series5.0ms (0.1%)

rewrite115.0ms (1.8%)

simplify182.0ms (2.9%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite101.0ms (1.6%)

simplify128.0ms (2.1%)

eval1.0s (16%)

prune775.0ms (12.4%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite101.0ms (1.6%)

simplify126.0ms (2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.8%)

simplify61.0ms (1%)

localize17.0ms (0.3%)

series3.0ms (0%)

rewrite92.0ms (1.5%)

simplify135.0ms (2.2%)

eval815.0ms (13%)

prune425.0ms (6.8%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite79.0ms (1.3%)

simplify47.0ms (0.7%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite76.0ms (1.2%)

simplify75.0ms (1.2%)

eval256.0ms (4.1%)

prune172.0ms (2.7%)

regimes17.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch60.0ms (1%)

simplify4.0ms (0.1%)

soundness13.0ms (0.2%)

end21.0ms (0.3%)

Profiling