Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample788.0ms (19.9%)

Results

778.0ms

8256×

body

256

valid

Bogosity

preprocess7.0ms (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 (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.5%)

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)))))

simplify67.0ms (1.7%)

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 (0.2%)

Compiler: Compiled 309 to 228 computations (26.2% saved)

prune6.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Error

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	20.8b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
▶	16.0b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
▶	0.5b	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	0.0b	(+.f64 x -1/3)
	31.6b	x
	31.6b	-1/3

Compiler

Compiled 56 to 42 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x -1/3)
✓	0.5b	(+.f64 1 (+.f64 x -1/3))
✓	0.5b	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1850×	`add-cube-cbrt`
1840×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	188	14
2	2635	14

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (+.f64 x -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))))) (#(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 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(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 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))))) (#(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 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))))) (#(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 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (.f64 (+.f64 x 2/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))))) (#(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 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))))) (#(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 /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)))) (#(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 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x -1/3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 2/3)) (.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (.f64 (cbrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4/3 x) (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) 1) (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) 1) (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1/3) 2) 1) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1/27) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (.f64 (+.f64 1 x) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))) (neg.f64 (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))))) (#(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 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(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 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))))) (#(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 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))))) (#(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 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))))) (#(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 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))))) (#(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 /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)))) (#(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 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))))

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

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

866×	`times-frac`
760×	`unswap-sqr`
588×	`associate--r+`
568×	`associate-/l*`
562×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2077
1	521	1889
2	2416	1869

Stop Event

1×	node limit

Counts

117 → 121

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

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)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 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 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.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 -1/27 (pow.f64 x 3)) (/.f64 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 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(/.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 (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 -1/27 (pow.f64 x 3)) (/.f64 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 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (-.f64 4/3 x))) (-.f64 7/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (-.f64 7/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -7/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.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 -1/27 (pow.f64 x 3)) (/.f64 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 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(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)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (+.f64 x -1/3) 2) 1)
(+.f64 x 2/3)
(-.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(*.f64 1 (+.f64 x 2/3))
(+.f64 x 2/3)
(*.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(.f64 (sqrt.f64 (+.f64 x 2/3)) (.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 1 (/.f64 (-.f64 4/3 x) (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 (pow.f64 (+.f64 -1/3 x) 2) (-.f64 4/3 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) 1) (-.f64 4/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) 1) (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1/3) 2) 1) (+.f64 x -4/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) -1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 (+.f64 x 1) 1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 x 4/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1/27) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (.f64 (+.f64 1 x) -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 1/9 (*.f64 -1/3 (+.f64 x 1)))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) 1/9) (*.f64 1/3 (+.f64 x 1))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 1/9 (*.f64 (+.f64 x 1) (+.f64 x 4/3))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(pow.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(+.f64 x 2/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(+.f64 x 2/3)
(expm1.f64 (log1p.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(exp.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log1p.f64 (+.f64 -1/3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -1/3)) 1))
(exp.f64 (log1p.f64 (+.f64 -1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(fma.f64 1 (+.f64 x -1/3) 1)
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 1)
(+.f64 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)) 1)
(+.f64 x 2/3)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
✓	0.0b	(+.f64 x 1/3)
✓	0.2b	(/.f64 1/9 (+.f64 x 1/3))
✓	15.0b	(/.f64 (*.f64 x x) (+.f64 x 1/3))

Compiler

Compiled 35 to 21 computations (40% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite136.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	239	46
2	3654	46

Stop Event

1×	node limit

Counts

4 → 304

Calls

Call 1

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

Outputs
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simplify132.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	768	15018
1	2337	14608

Stop Event

1×	node limit

Counts

352 → 491

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -9 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (.f64 -81 (pow.f64 x 5)) (.f64 27 (pow.f64 x 4)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
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(+.f64 (.f64 (+.f64 x -1/3) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 (fma.f64 (/.f64 1/9 (-.f64 -1/3 x)) 1 (/.f64 -1/9 (-.f64 -1/3 x))) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
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(+.f64 (.f64 (+.f64 x -1/3) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 (-.f64 -1/3 x)))) (pow.f64 (cbrt.f64 (/.f64 -1/9 (-.f64 -1/3 x))) 2) (/.f64 -1/9 (-.f64 -1/3 x))) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3)))) (.f64 (-.f64 1/9 (.f64 x 1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3)))))
(+.f64 (.f64 (-.f64 1/9 (.f64 x 1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3)))))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 -1 (-.f64 -1/3 x)))
(.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3)) (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9))))
(*.f64 (/.f64 -1 (-.f64 -1/3 x)) (fma.f64 x x -1/9))
(.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9))))))
(.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (*.f64 1/9 x)))) (/.f64 1 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(*.f64 (+.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3)))) (-.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (*.f64 x x) 1/9)))
(/.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (/.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))) (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (*.f64 x x) 1/9)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)))) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)))) (+.f64 x -1/3)))
(/.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x)))) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3))) (/.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (sqrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x))))) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (sqrt.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x)))))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))))) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3))) (cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x))))) (cbrt.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x)))))) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (cbrt.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (*.f64 1/9 x)))))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (fma.f64 x x -1/9))) (/.f64 (+.f64 x 1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x)))) (+.f64 x 1/3)) (+.f64 x 1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x)))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x))))
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 (.f64 x x) (+.f64 1/9 (.f64 x 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3)) (.f64 (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)))) (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2)) (.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)))) (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2))))
(/.f64 (-.f64 (pow.f64 x 4) 1/81) (.f64 (+.f64 x 1/3) (+.f64 (.f64 x x) 1/9)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (.f64 x (.f64 x (+.f64 x 1/3)))) (.f64 (+.f64 1/27 (.f64 1/9 x)) (+.f64 1/27 (.f64 1/9 x)))) (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (+.f64 1/27 (.f64 1/9 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (pow.f64 (/.f64 1/9 (-.f64 -1/3 x)) 3)) (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (-.f64 (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x))) (.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) 3) (pow.f64 (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3)) (+.f64 (.f64 (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3))) (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) 3) (pow.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)) 3)) (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2)) (+.f64 (.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))) (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) 1/9)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x 1/3))) 3) (pow.f64 (+.f64 1/27 (.f64 1/9 x)) 3)) (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (.f64 x (.f64 x (+.f64 x 1/3)))) (+.f64 (.f64 (+.f64 1/27 (.f64 1/9 x)) (+.f64 1/27 (.f64 1/9 x))) (.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (+.f64 1/27 (.f64 1/9 x)))))))
(/.f64 (-.f64 0 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (-.f64 (.f64 x (+.f64 x 1/3)) (.f64 (/.f64 (+.f64 x 1/3) x) 1/9)) (*.f64 (/.f64 (+.f64 x 1/3) x) (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 x (/.f64 (-.f64 -1/3 x) -1/9)) (.f64 (/.f64 (+.f64 x 1/3) x) 1)) (*.f64 (/.f64 (+.f64 x 1/3) x) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 x (-.f64 -1/3 x)) (.f64 (/.f64 (+.f64 x 1/3) x) -1/9)) (*.f64 (/.f64 (+.f64 x 1/3) x) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (*.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 -1/3 x)) (.f64 (+.f64 x 1/3) -1/9)) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x)))
(/.f64 (+.f64 x (-.f64 1/3 (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) 1/9))) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) (+.f64 x 1/3)))
(/.f64 (-.f64 (/.f64 (-.f64 -1/3 x) -1/9) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) 1)) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (-.f64 (-.f64 -1/3 x) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) -1/9)) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) 1/9)) (.f64 (-.f64 -1/3 x) (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 (-.f64 -1/3 x) -1/9)) (.f64 (-.f64 -1/3 x) 1)) (.f64 (-.f64 -1/3 x) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (-.f64 -1/3 x)) (.f64 (-.f64 -1/3 x) -1/9)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3))) (neg.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (*.f64 x x) 1/9))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (*.f64 x x) 1/9))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x))))) (neg.f64 (pow.f64 (+.f64 x 1/3) 2)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 (*.f64 x x) (/.f64 -1 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 1 x -1/3)
(fma.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) 2) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -1/3)

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -9 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -9 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(fma.f64 3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (.f64 27 (pow.f64 x 4))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (.f64 -81 (pow.f64 x 5)) (.f64 27 (pow.f64 x 4)))))
(fma.f64 3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (fma.f64 -81 (pow.f64 x 5) (.f64 27 (pow.f64 x 4)))))
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 x (/.f64 1/9 x)) (+.f64 1/3 (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1/9 x) (+.f64 x -1/3)) (/.f64 1/27 (*.f64 x x)))
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 x (/.f64 1/9 x)) (+.f64 1/3 (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1/9 x) (+.f64 x -1/3)) (/.f64 1/27 (*.f64 x x)))
1/3
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(fma.f64 3 (*.f64 x x) (-.f64 1/3 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (-.f64 1/3 x) (.f64 -9 (pow.f64 x 3))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) 3) (pow.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)) 3)) (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2)) (+.f64 (.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))) (.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)))))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x 1/3))) 6) (/.f64 1/531441 (pow.f64 (pow.f64 (+.f64 x 1/3) 2) 3))) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (fma.f64 x x 1/9))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x 1/3))) 4) (.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x 1/3))) 2) (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) 1/9)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1/729) (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x 1/9))))))
(/.f64 (+.f64 -1/729 (pow.f64 (.f64 x x) 3)) (.f64 (+.f64 x 1/3) (+.f64 1/81 (+.f64 (.f64 x (.f64 x 1/9)) (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x 1/3))) 3) (pow.f64 (+.f64 1/27 (.f64 1/9 x)) 3)) (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (.f64 x (.f64 x (+.f64 x 1/3)))) (+.f64 (.f64 (+.f64 1/27 (.f64 1/9 x)) (+.f64 1/27 (.f64 1/9 x))) (.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (+.f64 1/27 (.f64 1/9 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x 1/3))) 3) (pow.f64 (+.f64 1/27 (.f64 x 1/9)) 3)) (.f64 (pow.f64 (+.f64 x 1/3) 2) (fma.f64 (.f64 x (.f64 x (+.f64 x 1/3))) (.f64 x (.f64 x (+.f64 x 1/3))) (.f64 (+.f64 1/27 (.f64 x 1/9)) (fma.f64 x (.f64 x (+.f64 x 1/3)) (+.f64 1/27 (.f64 x 1/9)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x 1/3))) 3) (pow.f64 (+.f64 1/27 (.f64 x 1/9)) 3)) (+.f64 (.f64 (.f64 (pow.f64 x 4) (+.f64 x 1/3)) (+.f64 x 1/3)) (.f64 (+.f64 1/27 (.f64 x 1/9)) (fma.f64 x (.f64 x (+.f64 x 1/3)) (+.f64 1/27 (*.f64 x 1/9)))))) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (-.f64 0 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (-.f64 (.f64 x (+.f64 x 1/3)) (.f64 (/.f64 (+.f64 x 1/3) x) 1/9)) (*.f64 (/.f64 (+.f64 x 1/3) x) (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 x (+.f64 x 1/3)) (.f64 1/9 (/.f64 (+.f64 x 1/3) x))) (/.f64 (pow.f64 (+.f64 x 1/3) 2) x))
(/.f64 (-.f64 (.f64 x (+.f64 x 1/3)) (/.f64 (.f64 1/9 (+.f64 x 1/3)) x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) x))
(/.f64 (-.f64 (.f64 x (/.f64 (-.f64 -1/3 x) -1/9)) (.f64 (/.f64 (+.f64 x 1/3) x) 1)) (*.f64 (/.f64 (+.f64 x 1/3) x) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (-.f64 (/.f64 (.f64 x (-.f64 -1/3 x)) -1/9) (/.f64 (+.f64 x 1/3) x)) (/.f64 (.f64 (-.f64 -1/3 x) (/.f64 (+.f64 x 1/3) x)) -1/9))
(.f64 (/.f64 (-.f64 (/.f64 (-.f64 -1/3 x) (/.f64 -1/9 x)) (/.f64 (+.f64 x 1/3) x)) (.f64 (-.f64 -1/3 x) (/.f64 (+.f64 x 1/3) x))) -1/9)
(/.f64 (-.f64 (.f64 x (-.f64 -1/3 x)) (.f64 (/.f64 (+.f64 x 1/3) x) -1/9)) (*.f64 (/.f64 (+.f64 x 1/3) x) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 x (-.f64 -1/3 x)) (.f64 -1/9 (/.f64 (+.f64 x 1/3) x))) (*.f64 (-.f64 -1/3 x) (/.f64 (+.f64 x 1/3) x)))
(.f64 (/.f64 (-.f64 (.f64 x (-.f64 -1/3 x)) (.f64 -1/9 (/.f64 (+.f64 x 1/3) x))) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x))) x)
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 -1/3 x) -1/9)) (+.f64 x 1/3)) (*.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (-.f64 (.f64 x (/.f64 (.f64 x (-.f64 -1/3 x)) -1/9)) (+.f64 x 1/3)) (*.f64 (+.f64 x 1/3) (-.f64 3 (/.f64 x -1/9))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 3 (/.f64 x -1/9)) (neg.f64 (+.f64 x 1/3))) (*.f64 (+.f64 x 1/3) (-.f64 -1/3 x))) -1/9)
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 -1/3 x)) (.f64 (+.f64 x 1/3) -1/9)) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 x (.f64 x (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) -1/9)) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x)))
(/.f64 (+.f64 x (-.f64 1/3 (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) 1/9))) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) (+.f64 x 1/3)))
(/.f64 (+.f64 x (-.f64 1/3 (/.f64 (.f64 (+.f64 x 1/3) 1/9) (.f64 x x)))) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (*.f64 x x)))
(/.f64 (+.f64 1/3 (-.f64 x (/.f64 (/.f64 (.f64 1/9 (+.f64 x 1/3)) x) x))) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (.f64 x x)))
(/.f64 (-.f64 (/.f64 (-.f64 -1/3 x) -1/9) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) 1)) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (-.f64 (-.f64 3 (/.f64 x -1/9)) (/.f64 (+.f64 x 1/3) (.f64 x x))) (.f64 (/.f64 (+.f64 x 1/3) (*.f64 x x)) (-.f64 3 (/.f64 x -1/9))))
(/.f64 (-.f64 (-.f64 3 (/.f64 x -1/9)) (/.f64 (+.f64 x 1/3) (.f64 x x))) (/.f64 (-.f64 -1/3 x) (/.f64 -1/9 (/.f64 (+.f64 x 1/3) (.f64 x x)))))
(/.f64 (-.f64 (-.f64 -1/3 x) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) -1/9)) (.f64 (/.f64 (+.f64 x 1/3) (.f64 x x)) (-.f64 -1/3 x)))
(/.f64 (-.f64 -1/3 (+.f64 x (/.f64 (.f64 (+.f64 x 1/3) -1/9) (.f64 x x)))) (.f64 (-.f64 -1/3 x) (/.f64 (+.f64 x 1/3) (.f64 x x))))
(.f64 (/.f64 (-.f64 -1/3 (+.f64 x (.f64 -1/9 (/.f64 (+.f64 x 1/3) (.f64 x x))))) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) 1/9)) (.f64 (-.f64 -1/3 x) (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 x (.f64 (neg.f64 x) (+.f64 x 1/3))) (.f64 1/9 (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 x 1/3) (neg.f64 x))) (.f64 1/9 (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 (-.f64 -1/3 x) -1/9)) (.f64 (-.f64 -1/3 x) 1)) (.f64 (-.f64 -1/3 x) (/.f64 (-.f64 -1/3 x) -1/9)))
(/.f64 (fma.f64 (.f64 x (neg.f64 x)) (-.f64 3 (/.f64 x -1/9)) (neg.f64 (-.f64 -1/3 x))) (.f64 (-.f64 -1/3 x) (-.f64 3 (/.f64 x -1/9))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 (neg.f64 x) (-.f64 3 (/.f64 x -1/9)))) (-.f64 -1/3 x)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) -1/9)
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (-.f64 -1/3 x)) (.f64 (-.f64 -1/3 x) -1/9)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 x (.f64 (neg.f64 x) (-.f64 -1/3 x))) (.f64 -1/9 (-.f64 -1/3 x))) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(/.f64 (-.f64 (.f64 x (.f64 (-.f64 -1/3 x) (neg.f64 x))) (.f64 -1/9 (-.f64 -1/3 x))) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (.f64 x x) 1/9)) (+.f64 x -1/3))) (neg.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (*.f64 x x) 1/9))))
(/.f64 (.f64 (.f64 (/.f64 -1 (-.f64 -1/3 x)) (fma.f64 x x 1/9)) (-.f64 1/3 x)) (*.f64 (/.f64 1 (-.f64 -1/3 x)) (fma.f64 x x 1/9)))
(/.f64 (/.f64 (.f64 (-.f64 1/3 x) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (fma.f64 x x 1/9))) (/.f64 1 (-.f64 -1/3 x))) (fma.f64 x x 1/9))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (+.f64 (*.f64 x x) 1/9))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x 1/3))) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x 1/3))) 2) (.f64 (/.f64 -1/9 (-.f64 -1/3 x)) (.f64 (/.f64 -1 (-.f64 -1/3 x)) (fma.f64 x x 1/9))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x 1/3))) 3) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 x) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x 1/3))) 2) (*.f64 (fma.f64 x x 1/9) (/.f64 (/.f64 1/9 (-.f64 -1/3 x)) (-.f64 -1/3 x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 1/9 x))))) (neg.f64 (pow.f64 (+.f64 x 1/3) 2)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (neg.f64 (+.f64 1/27 (.f64 x 1/9))))) (neg.f64 (pow.f64 (+.f64 x 1/3) 2)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (+.f64 x 1/3) (-.f64 -1/27 (.f64 x 1/9)))) (neg.f64 (pow.f64 (+.f64 x 1/3) 2)))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 x -1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 x -1/3)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 x -1/3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 x -1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(+.f64 x -1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 x -1/3)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 x -1/3)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(fma.f64 (*.f64 x x) (/.f64 -1 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 1 x -1/3)
(+.f64 x -1/3)
(fma.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) 2) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 x 1/3))) (/.f64 1/9 (-.f64 -1/3 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -1/3)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/27 (pow.f64 x 3))
✓	0.0b	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	0.3b	(*.f64 x -1/3)
✓	20.0b	(/.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)

series26.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	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 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
0.0ms	x	@	0	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
0.0ms	x	@	-inf	(*.f64 x -1/3)
0.0ms	x	@	inf	(*.f64 x -1/3)

rewrite111.0ms (2.8%)

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	70
1	337	66
2	4516	66

Stop Event

1×	node limit

Counts

4 → 285

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 -1/27 (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 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3)))))) (cbrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 26/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x x) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) x -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)))))

simplify167.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-r`
828×	`associate-l`
702×	`associate-/l*`
622×	`+-commutative`
580×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	694	12851
1	1934	11267

Stop Event

1×	node limit

Counts

333 → 415

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))
-1/27
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(*.f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) (+.f64 -1/27 (pow.f64 x 3)))
(*.f64 (-.f64 1/27 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(.f64 (/.f64 1 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (.f64 x (+.f64 x 1/3)) 1/9)))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x 1/3) 1/9)) (-.f64 1/27 (pow.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (fma.f64 x (+.f64 x 1/3) 1/9)) (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)))) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)))) (neg.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9)))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) 1/81)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1/9 (.f64 x x)) 3) (.f64 -1/27 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x))) (.f64 (+.f64 1/9 (.f64 x x)) (*.f64 x -1/3))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2))) (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))) (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/27 (pow.f64 x 3)))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))) (-.f64 -1/19683 (pow.f64 x 9))) (+.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))) (-.f64 1/531441 (.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))))) (+.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))) (+.f64 1/387420489 (pow.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) 3))) (-.f64 (+.f64 1/531441 (.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))))) (.f64 1/729 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9)))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)))) (sqrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (cbrt.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9)))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (cbrt.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)))) (cbrt.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (+.f64 -1/27 (pow.f64 x 3))) -1)
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(+.f64 (.f64 x x) (.f64 x 1/3))
(+.f64 (.f64 x x) (+.f64 (.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (.f64 x x) (.f64 (*.f64 x 1/3) 1))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x 1/3) (fma.f64 1/3 x (.f64 x -1/3))) (fma.f64 1/3 x (.f64 x -1/3))))
(+.f64 (.f64 x x) (+.f64 (.f64 (.f64 x 1/3) 1) (fma.f64 1/3 x (.f64 x -1/3))))
(+.f64 (.f64 x x) (+.f64 (.f64 x 1/3) (+.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (.f64 x -1/3)))))
(+.f64 (.f64 x x) (+.f64 (+.f64 (.f64 x 1/3) (fma.f64 1/3 x (.f64 x -1/3))) (+.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))))
(+.f64 (.f64 x x) (+.f64 (.f64 (.f64 x 1/3) 1) (+.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))))
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(.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (+.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3)))) (+.f64 (pow.f64 x 4) (-.f64 (.f64 1/9 (.f64 x x)) (*.f64 (pow.f64 x 3) -1/3))))
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(.f64 (/.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))) (.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (pow.f64 x 3) (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (-.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 x 1/3))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (*.f64 x (+.f64 x -1/3)))
(/.f64 (.f64 x (+.f64 x -1/3)) (/.f64 (.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (*.f64 x (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))) (/.f64 (.f64 x (+.f64 x -1/3)) (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (sqrt.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))) (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))))) (/.f64 (.f64 x (+.f64 x -1/3)) (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))))) (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x 1/3))) (-.f64 (.f64 x x) (*.f64 x 1/3)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (.f64 x -1/3)))) (-.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x 1/3) (.f64 x 1/3)) (.f64 (.f64 x x) (*.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (.f64 x -1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 (.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (.f64 x -1/3))) (.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))) (neg.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) x) (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) 1) (*.f64 x (+.f64 x -1/3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x -1/3)))) (sqrt.f64 (.f64 x (+.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (+.f64 x -1/3))) (cbrt.f64 (.f64 x (+.f64 x -1/3))))) (cbrt.f64 (.f64 x (+.f64 x -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(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 (exp.f64 (log.f64 (+.f64 26/27 (pow.f64 x 3)))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 28/27)
(-.f64 (/.f64 1/729 (-.f64 -1/27 (pow.f64 x 3))) (/.f64 (pow.f64 x 6) (-.f64 -1/27 (pow.f64 x 3))))
(-.f64 (+.f64 -1/27 (exp.f64 (log1p.f64 (pow.f64 x 3)))) 1)
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) 1)
(*.f64 1 (+.f64 -1/27 (pow.f64 x 3)))
(*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(*.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))))
(.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))
(*.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))) (-.f64 1/729 (pow.f64 x 6)))
(.f64 (/.f64 1 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))) (+.f64 -1/19683 (pow.f64 x 9)))
(*.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/27 (pow.f64 x 3)))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/19683 (pow.f64 x 9))) (+.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (-.f64 1/531441 (.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))))) (+.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (+.f64 1/387420489 (pow.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) 3))) (-.f64 (+.f64 1/531441 (.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))))) (.f64 1/729 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) 1)
(/.f64 1 (/.f64 1 (+.f64 -1/27 (pow.f64 x 3))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (/.f64 1 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (-.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (-.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (/.f64 1 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 (+.f64 -1/19683 (pow.f64 x 9))) (/.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 -1/19683 (pow.f64 x 9)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/19683 (pow.f64 x 9))) (cbrt.f64 (+.f64 -1/19683 (pow.f64 x 9)))) (/.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (+.f64 -1/19683 (pow.f64 x 9)))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 -1/19683 (pow.f64 x 9))) (neg.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 x 6) 1/729) (-.f64 (pow.f64 x 3) -1/27))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (-.f64 -1/27 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (-.f64 -1/27 (pow.f64 x 3)))) (sqrt.f64 (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))))) (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) 1) (-.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (sqrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (.f64 (cbrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))) (cbrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))
(pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (+.f64 -1/27 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3))
(expm1.f64 (log.f64 (+.f64 26/27 (pow.f64 x 3))))
(exp.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3))))
(fma.f64 x (*.f64 x x) -1/27)
(fma.f64 (*.f64 x x) x -1/27)
(fma.f64 1 (pow.f64 x 3) -1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)

Outputs
-1/3
(-.f64 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 x (-.f64 x -1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.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 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.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 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
-1/27
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 -1/27 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
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(/.f64 (+.f64 1/19683 (neg.f64 (pow.f64 x 9))) (neg.f64 (+.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 (pow.f64 x 3) 1/27))))
(/.f64 (-.f64 1/19683 (pow.f64 x 9)) (+.f64 -1/729 (-.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 6) 1/729) (-.f64 (pow.f64 x 3) -1/27))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (-.f64 -1/27 (pow.f64 x 3)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (-.f64 -1/27 (pow.f64 x 3)))) (sqrt.f64 (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (sqrt.f64 (-.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (-.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))))) (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (-.f64 -1/27 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) 1) (-.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (+.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (sqrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (sqrt.f64 (+.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 (pow.f64 x 3) 1/27)))) (sqrt.f64 (+.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 (pow.f64 x 3) 1/27))))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 -1/27 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 -1/27 (pow.f64 x 3)))))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (.f64 (cbrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))) (cbrt.f64 (-.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (.f64 (cbrt.f64 (+.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 (pow.f64 x 3) 1/27))) (cbrt.f64 (+.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 (pow.f64 x 3) 1/27))))) (cbrt.f64 (+.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 (pow.f64 x 3) 1/27))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (cbrt.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 -1/27 (pow.f64 x 3)))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 -1/27 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 -1/27 (pow.f64 x 3)))))))
(pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 1)
(+.f64 -1/27 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2)
(+.f64 -1/27 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 3)
(+.f64 -1/27 (pow.f64 x 3))
(pow.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) 1/3)
(+.f64 -1/27 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (+.f64 -1/27 (pow.f64 x 3))))
(+.f64 -1/27 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3)))))
(+.f64 -1/27 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3))
(+.f64 -1/27 (pow.f64 x 3))
(expm1.f64 (log.f64 (+.f64 26/27 (pow.f64 x 3))))
(+.f64 -1/27 (pow.f64 x 3))
(exp.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))))
(+.f64 -1/27 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))) 1))
(+.f64 -1/27 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3))))
(+.f64 -1/27 (pow.f64 x 3))
(fma.f64 x (*.f64 x x) -1/27)
(+.f64 -1/27 (pow.f64 x 3))
(fma.f64 (*.f64 x x) x -1/27)
(+.f64 -1/27 (pow.f64 x 3))
(fma.f64 1 (pow.f64 x 3) -1/27)
(+.f64 -1/27 (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)
(+.f64 -1/27 (pow.f64 x 3))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1/9 (*.f64 x x))
✓	0.0b	(-.f64 -1/3 x)
✓	15.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite129.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 x)) (neg.f64 (*.f64 (/.f64 x (-.f64 -1/3 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 1 (neg.f64 (*.f64 (/.f64 x (-.f64 -1/3 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 1 (-.f64 -1/3 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 -1/3 x)) x)) (/.f64 1/9 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -1/3 x)) (*.f64 x (neg.f64 x))) (/.f64 1/9 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))) x) (*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) 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(*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/9 (*.f64 x x))) (-.f64 1/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))) (-.f64 1/729 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/729 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/9 x))) (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/9 x)))))) (-.f64 1/81 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/9 x))) 3))) (+.f64 1/6561 (-.f64 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/9 x))) (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/9 x)))) (*.f64 1/81 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (/.f64 1 (+.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (+.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 1/81 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (/.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))) (/.f64 (+.f64 1/9 (*.f64 x x)) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (neg.f64 (+.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (*.f64 1 (neg.f64 (+.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (*.f64 1 (neg.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/81 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (+.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/531441 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 1/729 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/6561 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/729 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 1 (+.f64 1/81 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 1/9 (*.f64 x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (+.f64 1/531441 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 1/729 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/6561 (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (pow.f64 x 4) 1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) 1) (+.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (sqrt.f64 (+.f64 1/9 (*.f64 x x)))) (sqrt.f64 (+.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))) (cbrt.f64 (+.f64 (*.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 10/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))))))

simplify118.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1684×	`associate-/r*`
1094×	`distribute-lft-in`
1092×	`associate-*l/`
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 → 460

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)
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 x -1/3)
(+.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 1 (neg.f64 (.f64 (/.f64 x (-.f64 -1/3 x)) x))))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x (neg.f64 x))))
(+.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 -1/3 x)) x)) (/.f64 1/9 (-.f64 -1/3 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x (neg.f64 x))) (/.f64 1/9 (-.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 (.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))) (/.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 (/.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 (-.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 (-.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 -1/3 (neg.f64 x))
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (-.f64 -1/3 x)) x))
(-.f64 (exp.f64 (log1p.f64 x)) 4/3)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 x))) 1)
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(.f64 (-.f64 1/9 (.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (+.f64 x -1/3) 1)
(.f64 (+.f64 x -1/3) (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 x x))))
(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x 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 -1/9 (.f64 x x)) (/.f64 1 (+.f64 1/3 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 1/9 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 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)) (cbrt.f64 (-.f64 -1/3 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)))
(.f64 (/.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 -1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 x -1/3)))
(.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 1 (+.f64 1/3 x)) (+.f64 -1/9 (.f64 x x)))
(.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 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 1/9 (.f64 x 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 (/.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 (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)))
(.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)))
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(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (.f64 (+.f64 x -1/3) (neg.f64 (+.f64 1/9 (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (.f64 (neg.f64 (+.f64 x -1/3)) (+.f64 1/9 (.f64 x x))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 (+.f64 x -1/3) (neg.f64 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 (neg.f64 (+.f64 x -1/3)) (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (neg.f64 (+.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (.f64 1 (neg.f64 (+.f64 1/9 (.f64 x (+.f64 x -1/3))))))
(/.f64 (-.f64 1/9 (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x -1/3))
(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 x -1/3)))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 (+.f64 x -1/3) (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/6561 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 x -1/3)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (+.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 -1/27 (pow.f64 (neg.f64 x) 3)) (.f64 1 (+.f64 1/9 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1/3 (neg.f64 x))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (.f64 (+.f64 x -1/3) (+.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 -1/19683 (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 1/9 (.f64 x (+.f64 x -1/3))) (+.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3)))))
(/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (.f64 (+.f64 x -1/3) (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))) (+.f64 (+.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 1/729 (pow.f64 x 6)))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 x -1/3)) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/9 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (/.f64 1 (-.f64 -1/3 x))) (-.f64 1/9 (.f64 x 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 (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)))
(+.f64 1/9 (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 x (neg.f64 x)) 1/9)
(+.f64 (-.f64 1/9 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(.f64 (-.f64 1/9 (.f64 x x)) 1)
(.f64 1 (-.f64 1/9 (.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (sqrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (+.f64 1/9 (.f64 x x))))
(.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(.f64 (/.f64 1 (+.f64 1/9 (.f64 x x))) (-.f64 1/81 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))) (-.f64 1/729 (pow.f64 x 6)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/9 (.f64 x x)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/729 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 x (*.f64 1/9 x))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/9 x))) (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/9 x)))))) (-.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/9 x)))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/9 x))) 3))) (+.f64 1/6561 (-.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/9 x))) (+.f64 (pow.f64 x 4) (.f64 x (.f64 1/9 x)))) (.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 x (*.f64 1/9 x)))))))
(/.f64 (-.f64 1/9 (*.f64 x x)) 1)
(/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1/9 (.f64 x x)))))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1/9 (.f64 x x)))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (/.f64 1 (+.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (+.f64 1/9 (*.f64 x x)) (sqrt.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 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))) (/.f64 (+.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (neg.f64 (+.f64 1/9 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (.f64 1 (neg.f64 (+.f64 1/9 (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 1 (neg.f64 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (+.f64 1/9 (.f64 x x)))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/6561 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (+.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 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (.f64 1 (+.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 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (+.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 1/729 (pow.f64 x 6)))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) 1) (+.f64 1/9 (*.f64 x x)))
(/.f64 (/.f64 (-.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 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 1/729 (pow.f64 x 6)) 1) (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))) (sqrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))) (cbrt.f64 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
-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)
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))
(+.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))
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(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)))
(-.f64 1/9 (*.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1/9 (.f64 x x)))))
(-.f64 1/9 (*.f64 x x))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (/.f64 1 (+.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (+.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 1/81 (pow.f64 x 4)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (+.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 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (+.f64 1/9 (.f64 x x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (/.f64 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))))
(.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))) (/.f64 (+.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (+.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (neg.f64 (+.f64 1/9 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (+.f64 -1/9 (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 -1/81 (pow.f64 x 4)) (-.f64 -1/9 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (.f64 1 (neg.f64 (+.f64 1/9 (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (+.f64 -1/9 (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 -1/81 (pow.f64 x 4)) (-.f64 -1/9 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 1 (neg.f64 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (neg.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (+.f64 1/9 (.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/531441 (pow.f64 x 12)) (.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/6561 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/6561 (pow.f64 x 8)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (+.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 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 -1/9 (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 (neg.f64 x) (*.f64 x 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (.f64 1 (+.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 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 -1/9 (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 (neg.f64 x) (*.f64 x 1/9)))))
(/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (+.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 1/729 (pow.f64 x 6)))))
(/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))) (+.f64 1/531441 (+.f64 (pow.f64 x 12) (*.f64 1/729 (pow.f64 x 6))))))
(/.f64 (/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))) (+.f64 1/531441 (+.f64 (pow.f64 x 12) (.f64 1/729 (pow.f64 x 6)))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/6561 (+.f64 (pow.f64 x 8) (*.f64 1/81 (pow.f64 x 4))))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 (pow.f64 x 8) (+.f64 (*.f64 1/81 (pow.f64 x 4)) 1/6561))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) 1) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (sqrt.f64 (+.f64 1/9 (.f64 x x)))) (sqrt.f64 (+.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (sqrt.f64 (+.f64 1/9 (.f64 x x))) (sqrt.f64 (+.f64 1/9 (*.f64 x x)))))
(/.f64 (/.f64 (-.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 1/81 (pow.f64 x 4)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (cbrt.f64 (+.f64 1/9 (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (cbrt.f64 (+.f64 1/9 (.f64 x x)))) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (cbrt.f64 (+.f64 1/9 (.f64 x x)))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81)))) (sqrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x (*.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (+.f64 (.f64 x (.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))) (cbrt.f64 (+.f64 (.f64 x (*.f64 1/9 x)) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))) (cbrt.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))))) (cbrt.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (cbrt.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))))) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4)))) (cbrt.f64 (fma.f64 x (.f64 x 1/9) (+.f64 1/81 (pow.f64 x 4))))))
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(-.f64 1/9 (*.f64 x x))
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(-.f64 1/9 (*.f64 x x))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(-.f64 1/9 (*.f64 x x))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))

eval828.0ms (20.9%)

Compiler: Compiled 39347 to 28287 computations (28.1% saved)

prune495.0ms (12.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1596	2	1598
Fresh	0	2	2
Picked	0	1	1
Done	3	1	4
Total	1599	6	1605

Error

Counts

1605 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	0.5b	(-.f64 (+.f64 x 2/3) 1)
▶	32.1b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	31.6b	x
	31.6b	-1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 2/3 1)

Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`add-sqr-sqrt`
698×	`*-un-lft-identity`
674×	`pow1`
664×	`add-cube-cbrt`
660×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	96	1
2	895	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 2/3 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . -1/3)))))

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x 2/3)
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 x 2/3) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 x 2/3) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 x 2/3) 1)
0.0ms	x	@	0	(+.f64 x 2/3)
0.0ms	x	@	inf	(+.f64 x 2/3)

rewrite84.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1554×	`add-cube-cbrt`
1544×	`add-cbrt-cube`
152×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	159	14
2	2039	14

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(-.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 2/3) -1)))) (#(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 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 5/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)))))

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1036×	`times-frac`
864×	`fma-def`
728×	`unswap-sqr`
640×	`associate-/l*`
634×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1374
1	407	1308
2	1828	1192

Stop Event

1×	node limit

Counts

102 → 94

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)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 x -1/3)
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (-.f64 x 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(/.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (.f64 x x) (-.f64 1/9 (.f64 x -1/3))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 x 2/3)))
(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 1 (+.f64 x 2/3) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 (+.f64 x 2/3) 1)
(*.f64 1 (+.f64 x 2/3))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(.f64 (sqrt.f64 (+.f64 x 2/3)) (.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (.f64 x 2/3)))))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (.f64 x x) (.f64 x 2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(/.f64 (.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (.f64 x 2/3))))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(pow.f64 (+.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(log.f64 (exp.f64 (+.f64 x 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 x 2/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(fma.f64 1 x 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)

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)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 2/3 (-.f64 x 1))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))
(+.f64 -1/3 x)
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(+.f64 -1/3 x)
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x -1/3))
(/.f64 (fma.f64 x x -1/9) (+.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 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
(/.f64 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(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)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log.f64 (+.f64 x 2/3)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 5/3) 1)
(+.f64 x 2/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(*.f64 1 (+.f64 x 2/3))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(.f64 (sqrt.f64 (+.f64 x 2/3)) (.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (.f64 x 2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (.f64 x x) (.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(pow.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(+.f64 x 2/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(+.f64 x 2/3)
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(fma.f64 1 x 2/3)
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(+.f64 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(+.f64 x 2/3)

eval23.0ms (0.6%)

Compiler: Compiled 936 to 735 computations (21.5% saved)

prune11.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Error

Counts

101 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	32.1b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	31.6b	x
	31.6b	-1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	32.1b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	31.6b	x
	31.6b	-1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes44.0ms (1.1%)

Counts

10 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(/.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 -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:

38.0ms	x
4.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 71 to 51 computations (28.2% saved)

regimes9.0ms (0.2%)

Accuracy

Total -60.0b remaining (-3788.7%)

Threshold costs -60.0b (-3788.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch23.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.11665108903487714	102633.46226114484
10.0ms	-0.5132308413067382	-0.19206517917192828

Results

21.0ms

224×

body

256

valid

Compiler

Compiled 94 to 78 computations (17% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness57.0ms (1.4%)

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)

end241.0ms (6.1%)

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

Details

analyze3.0ms (0.1%)

sample788.0ms (19.9%)

preprocess7.0ms (0.2%)

simplify11.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite59.0ms (1.5%)

simplify67.0ms (1.7%)

eval7.0ms (0.2%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite96.0ms (2.4%)

simplify60.0ms (1.5%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite136.0ms (3.4%)

simplify132.0ms (3.3%)

localize18.0ms (0.4%)

series26.0ms (0.7%)

rewrite111.0ms (2.8%)

simplify167.0ms (4.2%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite129.0ms (3.3%)

simplify118.0ms (3%)

eval828.0ms (20.9%)

prune495.0ms (12.5%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite65.0ms (1.6%)

simplify11.0ms (0.3%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite84.0ms (2.1%)

simplify77.0ms (1.9%)

eval23.0ms (0.6%)

prune11.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes44.0ms (1.1%)

regimes9.0ms (0.2%)

bsearch23.0ms (0.6%)

simplify4.0ms (0.1%)

soundness57.0ms (1.4%)

end241.0ms (6.1%)

Profiling