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)

sample686.0ms (14.3%)

Results

676.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize3.0ms (0.1%)

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)

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify75.0ms (1.6%)

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)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Error

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.6b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
▶	0.5b	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	0.0b	(+.f64 x -1/3)
▶	15.1b	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	34.4b	x
	28.7b	-1/3

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x -1/3)
✓	0.0b	(log1p.f64 (+.f64 x -1/3))
✓	1.9b	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	0	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

rewrite91.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1460×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1360×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	167	18
2	1814	18

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (+.f64 x -1/3))

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

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

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

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-/r*`
796×	`associate-*r/`
758×	`*-commutative`
694×	`fma-def`
660×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1515
1	409	1219
2	1481	1115
3	5113	1115

Stop Event

1×	node limit

Counts

75 → 108

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)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(-.f64 (+.f64 2/3 x) 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 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (.f64 (+.f64 2/3 x) 1))))
(/.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))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 2/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2/3 x))) 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)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2/3))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (.f64 x 3/2)))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (.f64 -9/8 (.f64 x x))))
(fma.f64 x 3/2 (fma.f64 x (*.f64 x -9/8) (log.f64 2/3)))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (fma.f64 3/2 x (.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (fma.f64 9/8 (pow.f64 x 3) (.f64 x 3/2))))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (.f64 (.f64 x x) (+.f64 -9/8 (*.f64 x 9/8)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x))
(+.f64 (log.f64 x) (/.f64 2/3 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 2/9 (*.f64 x x)))
(+.f64 (/.f64 2/3 x) (-.f64 (log.f64 x) (/.f64 2/9 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2/3 x)) (/.f64 -2/9 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 8/81 (pow.f64 x 3)) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 2/3 x))
(-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 2/3 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 2/3 x)) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2/9 (*.f64 x x)))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x))) (/.f64 2/9 (*.f64 x x))))
(+.f64 (/.f64 2/3 x) (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 2/9 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 8/81 (pow.f64 x 3)) (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x)))) (/.f64 2/9 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 8/81 (pow.f64 x 3)) (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1) (/.f64 -2/9 (*.f64 x x))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(-.f64 (+.f64 2/3 x) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.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 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(+.f64 -1/3 x)
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (.f64 (+.f64 2/3 x) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) (+.f64 1 (+.f64 x 2/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.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)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(log.f64 (+.f64 2/3 x))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2/3 x))) 1))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))

localize8.0ms (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 (+.f64 1 (+.f64 x -1/3)) 1)
0.0ms	x	@	0	(+.f64 1 (+.f64 x -1/3))
0.0ms	x	@	-inf	(-.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))

rewrite85.0ms (1.8%)

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)))))

simplify62.0ms (1.3%)

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)

localize33.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	0.0b	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))
✓	0.4b	(*.f64 x -1/3)
✓	17.8b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite119.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

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

Outputs
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simplify138.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

896×	`associate-r`
722×	`+-commutative`
684×	`associate-l`
606×	`distribute-lft-in`
592×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	15032
1	2081	13200

Stop Event

1×	node limit

Counts

354 → 466

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

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

eval667.0ms (13.9%)

Compiler: Compiled 16906 to 12909 computations (23.6% saved)

prune160.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	765	4	769
Fresh	0	2	2
Picked	1	0	1
Done	2	1	3
Total	768	7	775

Error

Counts

775 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.6b	(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
▶	18.6b	(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))
▶	0.5b	(-.f64 (+.f64 x 2/3) 1)
▶	29.2b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	34.4b	x
	28.7b	-1/3

Compiler

Compiled 48 to 39 computations (18.8% 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

rewrite59.0ms (1.2%)

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)))))

simplify12.0ms (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	@	-inf	(+.f64 x 2/3)
0.0ms	x	@	0	(+.f64 x 2/3)

rewrite61.0ms (1.3%)

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)))))

simplify52.0ms (1.1%)

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)

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1/9 (*.f64 x (+.f64 x 1/3)))
✓	0.2b	(*.f64 x (+.f64 x 1/3))
✓	17.8b	(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))
1.0ms	x	@	-inf	(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))
0.0ms	x	@	inf	(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))
0.0ms	x	@	inf	(*.f64 x (+.f64 x 1/3))
0.0ms	x	@	0	(-.f64 -1/9 (*.f64 x (+.f64 x 1/3)))

rewrite155.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`associate-/r*`
1452×	`associate-/l*`
966×	`associate-/r/`
312×	`add-sqr-sqrt`
298×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	316	69
2	4240	69

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

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

simplify155.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-+r+`
840×	`+-commutative`
800×	`associate-r`
748×	`associate-l`
564×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	9539
1	1438	7953
2	7309	7935

Stop Event

1×	node limit

Counts

205 → 269

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

localize62.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x -4/3) (+.f64 x -4/3))
✓	0.5b	(-.f64 1 (+.f64 x -4/3))
✓	0.5b	(-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)))
✓	13.6b	(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))

Compiler

Compiled 43 to 33 computations (23.3% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
0.0ms	x	@	0	(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
0.0ms	x	@	-inf	(-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)))
0.0ms	x	@	0	(-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)))

rewrite117.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`associate-/r*`
1482×	`associate-/l*`
1326×	`associate-/r/`
272×	`+-commutative`
252×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	82
1	240	46
2	3602	46

Stop Event

1×	node limit

Counts

4 → 346

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)))
(-.f64 1 (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (+.f64 x -4/3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/3 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 7/3 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))) (/.f64 1 (-.f64 7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 7/3 x)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 x 4/3) x)) (-.f64 (/.f64 16/9 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 (+.f64 x 4/3) x))) (/.f64 16/9 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 x)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (-.f64 7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))))) (#(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 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x -1/3)) (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 7/3 x)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (+.f64 -7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 7/3 x))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) 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egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (cbrt.f64 (-.f64 7/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (sqrt.f64 (-.f64 7/3 x))) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (cbrt.f64 (sqrt.f64 (-.f64 7/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 6)) (/.f64 1 (-.f64 7/3 x))) (-.f64 1 (.f64 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4))))) (-.f64 1 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 6)) (/.f64 1 (-.f64 7/3 x))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4))) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> 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egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x -4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -4/3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x -4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 x -4/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x -4/3) (+.f64 16/9 (.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -4/3) x (+.f64 16/9 (.f64 x -4/3)))))))

simplify152.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1698×	`associate-r`
1600×	`associate-l`
1130×	`associate-/r*`
944×	`associate-*l/`
904×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	16682
1	2540	15800

Stop Event

1×	node limit

Counts

394 → 575

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)
-7/9
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
7/3
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
16/9
(+.f64 (*.f64 -8/3 x) 16/9)
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 1 (+.f64 x -4/3))
(+.f64 x -1/3)
(+.f64 -4/3 (+.f64 1 x))
(+.f64 (+.f64 x -4/3) 1)
(+.f64 (/.f64 1 (-.f64 7/3 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))) (/.f64 1 (-.f64 7/3 x)))
(-.f64 1 (-.f64 4/3 x))
(-.f64 (+.f64 x -1/3) 0)
(-.f64 (/.f64 1 (-.f64 7/3 x)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)
(-.f64 -1/3 (neg.f64 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x 4/3) x)) (-.f64 (/.f64 16/9 (+.f64 x 4/3)) 1))
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (+.f64 1 (/.f64 x (/.f64 (+.f64 x 4/3) x))) (/.f64 16/9 (+.f64 x 4/3)))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(-.f64 (-.f64 1 (neg.f64 x)) 4/3)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (-.f64 7/3 x)))
(.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (/.f64 1 (-.f64 7/3 x)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (+.f64 -7/3 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 7/3 x))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (cbrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 x -1/3)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(*.f64 (/.f64 1 (+.f64 -7/3 x)) (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 1) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (cbrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (sqrt.f64 (-.f64 7/3 x))) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (cbrt.f64 (sqrt.f64 (-.f64 7/3 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)) (cbrt.f64 (-.f64 7/3 x))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 4))) (.f64 (+.f64 x -1/3) (+.f64 1 (pow.f64 (+.f64 x -4/3) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 6))) (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (+.f64 1 (pow.f64 (+.f64 x -4/3) 4)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2))) (+.f64 x -1/3))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2))) (neg.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (-.f64 7/3 x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (neg.f64 (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 7/3 x) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (.f64 (-.f64 4/3 x) (-.f64 4/3 x)))) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 (.f64 (-.f64 1 x) (-.f64 1 x)) 16/9)) (+.f64 -4/3 (-.f64 1 x)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 1 (pow.f64 (-.f64 4/3 x) 3))) (-.f64 (+.f64 1 (.f64 (-.f64 4/3 x) (-.f64 4/3 x))) (-.f64 4/3 x)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 (pow.f64 (-.f64 1 x) 3) -64/27)) (+.f64 (.f64 (-.f64 1 x) (-.f64 1 x)) (+.f64 16/9 (*.f64 (-.f64 1 x) -4/3))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 4)) (/.f64 1 (-.f64 7/3 x))) (-.f64 1 (pow.f64 (+.f64 x -4/3) 4))) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 4)) (/.f64 1 (-.f64 7/3 x))) (+.f64 1 (pow.f64 (+.f64 x -4/3) 6))) (-.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 4)) (pow.f64 (+.f64 x -4/3) 2)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 6)) (/.f64 1 (-.f64 7/3 x))) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4))))) (-.f64 1 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 6)) (/.f64 1 (-.f64 7/3 x))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4))) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (pow.f64 (+.f64 x -4/3) 4)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (sqrt.f64 (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (cbrt.f64 (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (pow.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) 2)) (pow.f64 (+.f64 x -1/3) 2))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (.f64 (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (*.f64 (-.f64 7/3 x) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (.f64 (-.f64 7/3 x) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (*.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (-.f64 7/3 x))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (.f64 (+.f64 x -1/3) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(.f64 (/.f64 (-.f64 (-.f64 7/3 x) (.f64 (-.f64 7/3 x) (pow.f64 (+.f64 x -4/3) 2))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3))) (+.f64 x -1/3)))
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (+.f64 x -1/3) 1)
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(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) 1) (+.f64 x 4/3))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))) (cbrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) 1) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (.f64 (fma.f64 x x -16/9) (+.f64 -64/27 (pow.f64 x 3))) (+.f64 x 4/3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x 4/3))
(pow.f64 (+.f64 x -4/3) 2)
(pow.f64 (pow.f64 (+.f64 x -4/3) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2)) 3)
(pow.f64 (pow.f64 (+.f64 x -4/3) 6) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -4/3) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x -4/3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2))))
(cbrt.f64 (pow.f64 (+.f64 x -4/3) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x -4/3) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -4/3)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 x -4/3))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2)))
(fma.f64 x (+.f64 x -4/3) (+.f64 16/9 (*.f64 x -4/3)))
(fma.f64 (+.f64 x -4/3) x (+.f64 16/9 (*.f64 x -4/3)))

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)
-7/9
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x))
(fma.f64 -1 (.f64 x x) (.f64 x 8/3))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x))
(fma.f64 -1 (.f64 x x) (.f64 x 8/3))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
7/3
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
16/9
(+.f64 (*.f64 -8/3 x) 16/9)
(fma.f64 -8/3 x 16/9)
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(fma.f64 -8/3 x (*.f64 x x))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(fma.f64 -8/3 x (*.f64 x x))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -4/3 (+.f64 1 x))
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
(+.f64 (/.f64 1 (-.f64 7/3 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))))
(-.f64 (/.f64 1 (-.f64 7/3 x)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(-.f64 (/.f64 -1 (+.f64 x -7/3)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))) (/.f64 1 (-.f64 7/3 x)))
(-.f64 (/.f64 1 (-.f64 7/3 x)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(-.f64 (/.f64 -1 (+.f64 x -7/3)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(-.f64 1 (-.f64 4/3 x))
(+.f64 -1/3 x)
(-.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(-.f64 (/.f64 1 (-.f64 7/3 x)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(-.f64 (/.f64 -1 (+.f64 x -7/3)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)
(+.f64 -1/3 x)
(-.f64 -1/3 (neg.f64 x))
(+.f64 -1/3 x)
(-.f64 (/.f64 x (/.f64 (+.f64 x 4/3) x)) (-.f64 (/.f64 16/9 (+.f64 x 4/3)) 1))
(+.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x 4/3)) x) (/.f64 16/9 (+.f64 x 4/3))) 1)
(+.f64 1 (-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/3)) (/.f64 16/9 (+.f64 x 4/3))))
(-.f64 (+.f64 2/3 x) 1)
(+.f64 -1/3 x)
(-.f64 (+.f64 1 (/.f64 x (/.f64 (+.f64 x 4/3) x))) (/.f64 16/9 (+.f64 x 4/3)))
(+.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x 4/3)) x) (/.f64 16/9 (+.f64 x 4/3))) 1)
(+.f64 1 (-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/3)) (/.f64 16/9 (+.f64 x 4/3))))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(+.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) -1)
(+.f64 (exp.f64 (log1p.f64 x)) -4/3)
(-.f64 (-.f64 1 (neg.f64 x)) 4/3)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (-.f64 7/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))
(.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)))
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 2)))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (/.f64 1 (-.f64 7/3 x)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (+.f64 -7/3 x)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (+.f64 x -7/3)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 7/3 x))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (cbrt.f64 (-.f64 7/3 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 -1/3 x)))) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3))) (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 -1/3 x)))) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3))) (+.f64 1 (.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(*.f64 (/.f64 1 (+.f64 -7/3 x)) (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (+.f64 x -7/3)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 1) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (cbrt.f64 (-.f64 7/3 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 7/3 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (/.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (sqrt.f64 (-.f64 7/3 x))) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (cbrt.f64 (sqrt.f64 (-.f64 7/3 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (sqrt.f64 (-.f64 7/3 x))) (/.f64 (cbrt.f64 (+.f64 -1/3 x)) (cbrt.f64 (sqrt.f64 (-.f64 7/3 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (/.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (-.f64 7/3 x))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)) (cbrt.f64 (-.f64 7/3 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 2)) (cbrt.f64 (-.f64 7/3 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 2)) (cbrt.f64 (-.f64 7/3 x))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 4))) (.f64 (+.f64 x -1/3) (+.f64 1 (pow.f64 (+.f64 x -4/3) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 4))) (.f64 (+.f64 -1/3 x) (+.f64 1 (pow.f64 (+.f64 x -4/3) 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (.f64 (+.f64 -1/3 x) (+.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (-.f64 1 (pow.f64 (+.f64 x -4/3) 4)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 6))) (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (+.f64 1 (pow.f64 (+.f64 x -4/3) 4)))))
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(/.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (+.f64 x -4/3)))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x -4/3))
(.f64 (+.f64 x -4/3) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))))
(/.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))) (+.f64 x 4/3)) (fma.f64 x x -16/9)))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))
(/.f64 (*.f64 (+.f64 x -4/3) (sqrt.f64 (+.f64 x -4/3))) (/.f64 1 (sqrt.f64 (+.f64 x -4/3))))
(/.f64 (+.f64 x -4/3) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/3))) (sqrt.f64 (+.f64 x -4/3))))
(/.f64 (.f64 (fma.f64 x x -16/9) (fma.f64 x x -16/9)) (.f64 (+.f64 x 4/3) (+.f64 x 4/3)))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(*.f64 (fma.f64 x x -16/9) (/.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x 4/3)))
(/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))))
(/.f64 (*.f64 (+.f64 x -4/3) (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (cbrt.f64 (+.f64 x -4/3))))
(.f64 (/.f64 (.f64 (+.f64 x -4/3) (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2))) 1) (cbrt.f64 (+.f64 x -4/3)))
(.f64 (cbrt.f64 (+.f64 x -4/3)) (/.f64 (.f64 (+.f64 x -4/3) (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2))) 1))
(/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x -4/3))
(.f64 (+.f64 x -4/3) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))))
(/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x -4/3))
(.f64 (+.f64 x -4/3) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 x -4/3)) (.f64 x (+.f64 x -4/3))) (.f64 (+.f64 16/9 (.f64 x -4/3)) (+.f64 16/9 (.f64 x -4/3)))) (-.f64 (.f64 x (+.f64 x -4/3)) (+.f64 16/9 (.f64 x -4/3))))
(/.f64 (.f64 (fma.f64 x -4/3 (fma.f64 x (+.f64 x -4/3) 16/9)) (-.f64 (.f64 x (+.f64 x -4/3)) (+.f64 16/9 (.f64 x -4/3)))) (-.f64 (.f64 x (+.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3))))
(/.f64 (.f64 (+.f64 16/9 (.f64 x (+.f64 x -8/3))) (fma.f64 x (+.f64 x -4/3) (-.f64 -16/9 (.f64 x -4/3)))) (fma.f64 x (+.f64 x -4/3) (-.f64 -16/9 (.f64 x -4/3))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x -4/3)) 3) (pow.f64 (+.f64 16/9 (.f64 x -4/3)) 3)) (+.f64 (.f64 (.f64 x (+.f64 x -4/3)) (.f64 x (+.f64 x -4/3))) (-.f64 (.f64 (+.f64 16/9 (.f64 x -4/3)) (+.f64 16/9 (.f64 x -4/3))) (.f64 (.f64 x (+.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x -4/3)) 3) (pow.f64 (+.f64 16/9 (.f64 x -4/3)) 3)) (+.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 x -4/3) 2)) (.f64 (+.f64 16/9 (.f64 x -4/3)) (-.f64 (+.f64 16/9 (.f64 x -4/3)) (.f64 x (+.f64 x -4/3))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x -4/3)) 3) (pow.f64 (+.f64 16/9 (.f64 x -4/3)) 3)) (+.f64 (.f64 x (.f64 (pow.f64 (+.f64 x -4/3) 2) x)) (.f64 (+.f64 16/9 (.f64 x -4/3)) (-.f64 (+.f64 16/9 (.f64 x -4/3)) (.f64 x (+.f64 x -4/3))))))
(/.f64 (.f64 (fma.f64 x x -16/9) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (+.f64 x 4/3) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))
(/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (+.f64 x 4/3)))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (fma.f64 x x -16/9)) (+.f64 x 4/3)) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(*.f64 (fma.f64 x x -16/9) (/.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x 4/3)))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) 1) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3))))
(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))) (cbrt.f64 (+.f64 x 4/3)))
(/.f64 (.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (.f64 (cbrt.f64 (+.f64 x 4/3)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))))
(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x -4/3))
(.f64 (+.f64 x -4/3) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))))
(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))) (sqrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))))
(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))))))
(/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))) (cbrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) 1) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3))))
(/.f64 (/.f64 (.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))) (cbrt.f64 (+.f64 x 4/3)))
(/.f64 (.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (.f64 (cbrt.f64 (+.f64 x 4/3)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) 1) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x -4/3))
(.f64 (+.f64 x -4/3) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))) (sqrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))))))
(/.f64 (.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))) (cbrt.f64 (fma.f64 x x (+.f64 16/9 (.f64 x 4/3)))))))
(/.f64 (/.f64 (.f64 (fma.f64 x x -16/9) (+.f64 -64/27 (pow.f64 x 3))) (+.f64 x 4/3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3))))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))
(/.f64 (/.f64 (.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (+.f64 x 4/3))
(.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (.f64 x 4/3))))
(pow.f64 (+.f64 x -4/3) 2)
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (pow.f64 (+.f64 x -4/3) 2) 1)
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2)) 3)
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(pow.f64 (pow.f64 (+.f64 x -4/3) 6) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x -4/3) 6))
(sqrt.f64 (pow.f64 (+.f64 x -4/3) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x -4/3) 2)))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2))))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(cbrt.f64 (pow.f64 (+.f64 x -4/3) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x -4/3) 2)))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 x -4/3)) 2))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 x -4/3))) 1))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2)))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(fma.f64 x (+.f64 x -4/3) (+.f64 16/9 (*.f64 x -4/3)))
(fma.f64 x -4/3 (fma.f64 x (+.f64 x -4/3) 16/9))
(+.f64 16/9 (*.f64 x (+.f64 x -8/3)))
(fma.f64 (+.f64 x -4/3) x (+.f64 16/9 (*.f64 x -4/3)))
(fma.f64 x -4/3 (fma.f64 x (+.f64 x -4/3) 16/9))
(+.f64 16/9 (*.f64 x (+.f64 x -8/3)))

eval651.0ms (13.6%)

Compiler: Compiled 23718 to 19138 computations (19.3% saved)

prune213.0ms (4.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	938	1	939
Fresh	0	2	2
Picked	1	0	1
Done	0	4	4
Total	939	7	946

Error

Counts

946 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.6b	(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))
▶	15.1b	(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	29.2b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	34.4b	x
	28.7b	-1/3

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 5/3) (+.f64 x -1/3))
	0.0b	(+.f64 x -1/3)
✓	0.5b	(-.f64 (+.f64 x 2/3) -1)
✓	13.6b	(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))

Compiler

Compiled 40 to 30 computations (25% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (+.f64 x 5/3) (+.f64 x -1/3))
0.0ms	x	@	-inf	(*.f64 (+.f64 x 5/3) (+.f64 x -1/3))
0.0ms	x	@	-inf	(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
0.0ms	x	@	inf	(*.f64 (+.f64 x 5/3) (+.f64 x -1/3))
0.0ms	x	@	0	(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))

rewrite104.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`unswap-sqr`
890×	`swap-sqr`
438×	`distribute-lft-neg-in`
408×	`distribute-rgt-neg-in`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	318	57
2	4320	33

Stop Event

1×	node limit

Counts

3 → 272

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(-.f64 (+.f64 x 2/3) -1)
(*.f64 (+.f64 x 5/3) (+.f64 x -1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 5/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 4/3)))) (#(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 (+.f64 x 2/3) (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (/.f64 -1 (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (-.f64 (/.f64 4/9 (+.f64 x -2/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (+.f64 (/.f64 4/9 (+.f64 x -2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 x 5/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.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 5/3) (*.f64 (+.f64 x -1/3) (/.f64 -1 (-.f64 -5/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 5/3) (/.f64 1 (/.f64 (+.f64 x 5/3) (+.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 (+.f64 x -1/3) (*.f64 (+.f64 x 5/3) (/.f64 -1 (-.f64 -5/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 -1 (-.f64 -5/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (/.f64 -1 (-.f64 -5/3 x))))))) (#(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 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (/.f64 -1 (-.f64 -5/3 x))))))) (#(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 (-.f64 -5/3 x)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 125/27 (pow.f64 x 3))) (+.f64 25/9 (*.f64 x (+.f64 x -5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2/3))) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 5/3) (sqrt.f64 (+.f64 x 5/3))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (+.f64 x 5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 5/3) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x 5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1/3) 1) (/.f64 (+.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))) (*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (-.f64 -5/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 5/3) (/.f64 (-.f64 -5/3 x) (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (neg.f64 x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 3) (pow.f64 (+.f64 x 5/3) 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 x 5/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/3 (neg.f64 (neg.f64 x)))))) (#(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 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (neg.f64 x) -2/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1 (+.f64 (neg.f64 x) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2/3))) (*.f64 (sqrt.f64 (+.f64 x 2/3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.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 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (neg.f64 x) -2/3))) (sqrt.f64 (+.f64 (neg.f64 x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 x) -2/3)) (cbrt.f64 (+.f64 (neg.f64 x) -2/3)))) (cbrt.f64 (+.f64 (neg.f64 x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (neg.f64 x) -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 x)) 5/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 5/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -5/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 5/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 5/3)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 5/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 5/3)) 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-5/9) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 5/3) 2) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x -1/3) -5/9) (-.f64 (+.f64 (*.f64 x -1/3) -5/9) (*.f64 x (+.f64 x 5/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 2/3) 2) 3) 1) (+.f64 (*.f64 (+.f64 x 2/3) (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -25/9) (fma.f64 x x -1/9)) (*.f64 (+.f64 x -5/3) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -25/9) (+.f64 -1/27 (pow.f64 x 3))) (*.f64 (+.f64 x -5/3) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (fma.f64 x x -1/9)) (*.f64 (+.f64 x -1/3) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 -1/27 (pow.f64 x 3))) (*.f64 (+.f64 x -1/3) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 125/27 (pow.f64 x 3)) (fma.f64 x x -1/9)) (*.f64 (+.f64 25/9 (*.f64 x (+.f64 x -5/3))) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 125/27 (pow.f64 x 3)) (+.f64 -1/27 (pow.f64 x 3))) (*.f64 (+.f64 25/9 (*.f64 x (+.f64 x -5/3))) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 x x -1/9)) (*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 -1/27 (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (fma.f64 x x -25/9)) (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (*.f64 (+.f64 x 1/3) (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 125/27 (pow.f64 x 3))) (*.f64 (+.f64 x 1/3) (+.f64 25/9 (*.f64 x (+.f64 x -5/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x -25/9)) (*.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 x -5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (*.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 125/27 (pow.f64 x 3))) (*.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 25/9 (*.f64 x (+.f64 x -5/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (*.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x -1/3) (-.f64 -5/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)) (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x 5/3) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 5/3) 3) (pow.f64 (+.f64 x -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 3) (pow.f64 (+.f64 x 5/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 5/3) (+.f64 (*.f64 x -1/3) -5/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 5/3) x (+.f64 (*.f64 x -1/3) -5/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) -1)))))

simplify131.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-lft-in`
1170×	`distribute-rgt-in`
992×	`associate-/l*`
816×	`associate-/r*`
682×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	629	8050
1	1890	7522

Stop Event

1×	node limit

Counts

308 → 384

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)
5/3
(+.f64 5/3 x)
(+.f64 5/3 x)
(+.f64 5/3 x)
x
(+.f64 5/3 x)
(+.f64 5/3 x)
(+.f64 5/3 x)
x
(+.f64 5/3 x)
(+.f64 5/3 x)
(+.f64 5/3 x)
-5/9
(-.f64 (*.f64 4/3 x) 5/9)
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(pow.f64 x 2)
(+.f64 (*.f64 4/3 x) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(pow.f64 x 2)
(+.f64 (*.f64 4/3 x) (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (-.f64 x 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x -1) 2/3)
(-.f64 (+.f64 x 5/3) 2)
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (exp.f64 (log1p.f64 x)) 4/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (+.f64 x 2/3) (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (/.f64 -1 (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (-.f64 (/.f64 4/9 (+.f64 x -2/3)) -1))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (+.f64 (/.f64 4/9 (+.f64 x -2/3)) 1))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 -1 (+.f64 x 5/3)) 1)
(-.f64 (+.f64 -1 (/.f64 (*.f64 x x) (+.f64 x -2/3))) (/.f64 4/9 (+.f64 x -2/3)))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 x -1/3) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 x 5/3) (/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(*.f64 (+.f64 x -1/3) 1)
(.f64 (+.f64 x -1/3) (.f64 (+.f64 x 5/3) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 -1 (-.f64 -5/3 x)))
(*.f64 1 (+.f64 x -1/3))
(.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (/.f64 -1 (-.f64 -5/3 x))))
(*.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 (-.f64 -5/3 x)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(.f64 (.f64 (+.f64 x -1/3) (-.f64 -5/3 x)) (/.f64 1 (-.f64 -5/3 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 5/3))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (sqrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (cbrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 x -1/3))
(*.f64 (/.f64 (+.f64 x 5/3) 1) (/.f64 (+.f64 x -1/3) (+.f64 x 5/3)))
(*.f64 (/.f64 (+.f64 x -1/3) (sqrt.f64 (+.f64 x 5/3))) (/.f64 (+.f64 x 5/3) (sqrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (fma.f64 x x -25/9)) (+.f64 x -5/3))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (+.f64 x -1/3))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 125/27 (pow.f64 x 3))) (+.f64 25/9 (.f64 x (+.f64 x -5/3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2/3))) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (/.f64 (+.f64 x 5/3) (sqrt.f64 (+.f64 x 5/3))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 (+.f64 x 5/3) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 (+.f64 x -1/3) 1) (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)))
(*.f64 (/.f64 (+.f64 x -1/3) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (+.f64 x 5/3) (cbrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (+.f64 x 5/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (cbrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (+.f64 x 5/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (sqrt.f64 (+.f64 x 5/3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (sqrt.f64 (+.f64 x 5/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))) (*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 x -1/3)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3)))))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 x -1/3)) -1)
(neg.f64 (-.f64 1/3 x))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)) 1))
(neg.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (-.f64 -5/3 x))))
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x))))
(neg.f64 (/.f64 (+.f64 x 5/3) (/.f64 (-.f64 -5/3 x) (+.f64 x -1/3))))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (neg.f64 x) -1/3)))
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(/.f64 (.f64 (fma.f64 x x -1/9) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x -25/9)) (.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 x -5/3)))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 x -1/3)))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 125/27 (pow.f64 x 3))) (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 25/9 (.f64 x (+.f64 x -5/3)))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))))
(pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 3) 1/3)
(neg.f64 (*.f64 (+.f64 x -1/3) (-.f64 -5/3 x)))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)) (+.f64 x 5/3)))
(neg.f64 (*.f64 (+.f64 x 5/3) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x))))
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) (+.f64 x 5/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 5/3) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 3) (pow.f64 (+.f64 x 5/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))
(fma.f64 x (+.f64 x 5/3) (+.f64 (*.f64 x -1/3) -5/9))
(fma.f64 (+.f64 x 5/3) x (+.f64 (*.f64 x -1/3) -5/9))
(fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) -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)
5/3
(+.f64 5/3 x)
(+.f64 x 5/3)
(+.f64 5/3 x)
(+.f64 x 5/3)
(+.f64 5/3 x)
(+.f64 x 5/3)
x
(+.f64 5/3 x)
(+.f64 x 5/3)
(+.f64 5/3 x)
(+.f64 x 5/3)
(+.f64 5/3 x)
(+.f64 x 5/3)
x
(+.f64 5/3 x)
(+.f64 x 5/3)
(+.f64 5/3 x)
(+.f64 x 5/3)
(+.f64 5/3 x)
(+.f64 x 5/3)
-5/9
(-.f64 (*.f64 4/3 x) 5/9)
(fma.f64 4/3 x -5/9)
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 4/3 x) (pow.f64 x 2))
(fma.f64 4/3 x (*.f64 x x))
(*.f64 x (+.f64 x 4/3))
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 4/3 x) (pow.f64 x 2))
(fma.f64 4/3 x (*.f64 x x))
(*.f64 x (+.f64 x 4/3))
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(-.f64 (+.f64 (*.f64 4/3 x) (pow.f64 x 2)) 5/9)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.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 (+.f64 x 2/3))
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1) 2/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 5/3) 2)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 2/3) 1)
(+.f64 -1/3 x)
(-.f64 (exp.f64 (log1p.f64 x)) 4/3)
(+.f64 (exp.f64 (log1p.f64 x)) -4/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (+.f64 x 2/3) (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (/.f64 -1 (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(-.f64 (.f64 (/.f64 (+.f64 x 2/3) (+.f64 x 5/3)) (+.f64 -1/3 x)) (.f64 (/.f64 -1 (+.f64 x 5/3)) (+.f64 -1/3 x)))
(*.f64 (+.f64 -1/3 x) (-.f64 (/.f64 (+.f64 x 2/3) (+.f64 x 5/3)) (/.f64 -1 (+.f64 x 5/3))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (-.f64 (/.f64 4/9 (+.f64 x -2/3)) -1))
(+.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3))) -1)
(+.f64 -1 (-.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 4/9 (+.f64 x -2/3))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (+.f64 (/.f64 4/9 (+.f64 x -2/3)) 1))
(+.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3))) -1)
(+.f64 -1 (-.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 4/9 (+.f64 x -2/3))))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(+.f64 (exp.f64 (log1p.f64 x)) -4/3)
(-.f64 (+.f64 -1 (+.f64 x 5/3)) 1)
(+.f64 -1/3 x)
(-.f64 (+.f64 -1 (/.f64 (*.f64 x x) (+.f64 x -2/3))) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3))) -1)
(+.f64 -1 (-.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 4/9 (+.f64 x -2/3))))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 x -1/3) (/.f64 -1 (-.f64 -5/3 x))))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 -1/3 x) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 x 5/3) (/.f64 (-.f64 1/3 x) (-.f64 -5/3 x)))
(*.f64 (+.f64 x 5/3) (/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(.f64 (+.f64 x -1/3) (.f64 (+.f64 x 5/3) (/.f64 -1 (-.f64 -5/3 x))))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 -1/3 x) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 x 5/3) (/.f64 (-.f64 1/3 x) (-.f64 -5/3 x)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 -1 (-.f64 -5/3 x)))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 -1/3 x) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 x 5/3) (/.f64 (-.f64 1/3 x) (-.f64 -5/3 x)))
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (/.f64 -1 (-.f64 -5/3 x)))
(*.f64 (/.f64 -1 (-.f64 -5/3 x)) (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 4/3 x -5/9))) 2))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (/.f64 -1 (-.f64 -5/3 x))))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 -1/3 x) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 x 5/3) (/.f64 (-.f64 1/3 x) (-.f64 -5/3 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 (+.f64 x 1/3) 1))
(*.f64 (/.f64 -1 (-.f64 -5/3 x)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 -1/3 x) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 x 5/3) (/.f64 (-.f64 1/3 x) (-.f64 -5/3 x)))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(.f64 (.f64 (+.f64 x -1/3) (-.f64 -5/3 x)) (/.f64 1 (-.f64 -5/3 x)))
(.f64 (+.f64 x 5/3) (.f64 (+.f64 -1/3 x) (/.f64 -1 (-.f64 -5/3 x))))
(*.f64 (+.f64 x 5/3) (/.f64 (-.f64 1/3 x) (-.f64 -5/3 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 5/3))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (sqrt.f64 (+.f64 x 5/3))))
(+.f64 -1/3 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (cbrt.f64 (+.f64 x 5/3))))
(+.f64 -1/3 x)
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (/.f64 (+.f64 x 5/3) 1) (/.f64 (+.f64 x -1/3) (+.f64 x 5/3)))
(+.f64 -1/3 x)
(*.f64 (/.f64 (+.f64 x -1/3) (sqrt.f64 (+.f64 x 5/3))) (/.f64 (+.f64 x 5/3) (sqrt.f64 (+.f64 x 5/3))))
(+.f64 -1/3 x)
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (fma.f64 x x -25/9)) (+.f64 x -5/3))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x -5/3)) (fma.f64 x x -25/9))
(*.f64 (/.f64 (fma.f64 x x (fma.f64 4/3 x -5/9)) (fma.f64 x x -25/9)) (+.f64 x -5/3))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 125/27 (pow.f64 x 3))) (+.f64 25/9 (.f64 x (+.f64 x -5/3))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 (pow.f64 x 3) 125/27)) (+.f64 25/9 (.f64 x (+.f64 x -5/3))))
(.f64 (/.f64 (fma.f64 x x (fma.f64 4/3 x -5/9)) (+.f64 (pow.f64 x 3) 125/27)) (+.f64 25/9 (.f64 x (+.f64 x -5/3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)))
(/.f64 (fma.f64 x x (fma.f64 4/3 x -5/9)) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2/3))) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2/3))) (+.f64 (sqrt.f64 (+.f64 x 2/3)) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2/3))) (+.f64 -1 (sqrt.f64 (+.f64 x 2/3))))
(*.f64 (/.f64 (+.f64 x 5/3) (sqrt.f64 (+.f64 x 5/3))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (+.f64 x 5/3))))
(+.f64 -1/3 x)
(*.f64 (/.f64 (+.f64 x 5/3) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x 5/3))))
(+.f64 -1/3 x)
(*.f64 (/.f64 (+.f64 x -1/3) 1) (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)))
(+.f64 -1/3 x)
(*.f64 (/.f64 (+.f64 x -1/3) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (+.f64 x 5/3) (cbrt.f64 (+.f64 x 5/3))))
(+.f64 -1/3 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (+.f64 x 5/3)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (+.f64 x 5/3))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 4/3 x -5/9))) 2) (+.f64 x 5/3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (cbrt.f64 (+.f64 x 5/3))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (+.f64 x 5/3))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 4/3 x -5/9))) 2) (+.f64 x 5/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (+.f64 x 5/3)))
(+.f64 -1/3 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (sqrt.f64 (+.f64 x 5/3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (sqrt.f64 (+.f64 x 5/3))))
(+.f64 -1/3 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 4/3 x -5/9))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 5/3)) 2) (cbrt.f64 (+.f64 -1/3 x))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))) (*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x)))) (pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 4/3 x -5/9))) 2) (.f64 (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x))) (sqrt.f64 (/.f64 -1 (-.f64 -5/3 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 x)))) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))) (cbrt.f64 (+.f64 x -1/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 x)))) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))))
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(/.f64 (+.f64 -1/3 x) (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))) (+.f64 -1/3 x))
(/.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x 5/3)) (+.f64 x 1/3))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(*.f64 (+.f64 x 5/3) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 x 5/3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (+.f64 x 5/3) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x 5/3) 2) (.f64 x x)) (.f64 (pow.f64 (+.f64 x 5/3) 2) 1/9)) (.f64 (+.f64 x 5/3) (+.f64 x 1/3)))
(/.f64 (.f64 (pow.f64 (+.f64 x 5/3) 2) (-.f64 (.f64 x x) 1/9)) (*.f64 (+.f64 x 5/3) (+.f64 x 1/3)))
(/.f64 (pow.f64 (+.f64 x 5/3) 2) (/.f64 (.f64 (+.f64 x 5/3) (+.f64 x 1/3)) (-.f64 (.f64 x x) 1/9)))
(/.f64 (-.f64 (*.f64 (+.f64 x 2/3) (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 1 (pow.f64 (+.f64 x 2/3) 2)))
(/.f64 (fma.f64 (+.f64 x 2/3) (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 1 (pow.f64 (+.f64 x 2/3) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 5/3)) 3) (pow.f64 (+.f64 (.f64 x -1/3) -5/9) 3)) (+.f64 (.f64 (pow.f64 (+.f64 x 5/3) 2) (.f64 x x)) (.f64 (+.f64 (.f64 x -1/3) -5/9) (-.f64 (+.f64 (.f64 x -1/3) -5/9) (.f64 x (+.f64 x 5/3))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 5/3)) 3) (pow.f64 (fma.f64 x -1/3 -5/9) 3)) (fma.f64 (pow.f64 (+.f64 x 5/3) 2) (.f64 x x) (.f64 (fma.f64 x -1/3 -5/9) (-.f64 (fma.f64 x -1/3 -5/9) (.f64 x (+.f64 x 5/3))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 5/3)) 3) (pow.f64 (fma.f64 x -1/3 -5/9) 3)) (fma.f64 (pow.f64 (+.f64 x 5/3) 2) (.f64 x x) (.f64 (fma.f64 x -1/3 -5/9) (+.f64 (fma.f64 x -1/3 -5/9) (.f64 x (-.f64 -5/3 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 2/3) 2) 3) 1) (+.f64 (*.f64 (+.f64 x 2/3) (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 2/3) 2) 3) -1) (fma.f64 (+.f64 x 2/3) (pow.f64 (+.f64 x 2/3) 3) (+.f64 1 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 2/3) 2) 3)) (fma.f64 (+.f64 x 2/3) (pow.f64 (+.f64 x 2/3) 3) (+.f64 1 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (.f64 (fma.f64 x x -25/9) (fma.f64 x x -1/9)) (.f64 (+.f64 x -5/3) (+.f64 x 1/3)))
(*.f64 (/.f64 (fma.f64 x x -25/9) (+.f64 x -5/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (fma.f64 x x -25/9) (+.f64 -1/27 (pow.f64 x 3))) (.f64 (+.f64 x -5/3) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x -25/9)) (+.f64 x -5/3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (fma.f64 x x -25/9) (+.f64 x -5/3)) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (fma.f64 x x -1/9)) (.f64 (+.f64 x -1/3) (+.f64 x 1/3)))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(*.f64 (+.f64 x 5/3) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 -1/27 (pow.f64 x 3))) (.f64 (+.f64 x -1/3) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (+.f64 x 5/3) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 125/27 (pow.f64 x 3)) (fma.f64 x x -1/9)) (.f64 (+.f64 25/9 (*.f64 x (+.f64 x -5/3))) (+.f64 x 1/3)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 125/27) (+.f64 25/9 (.f64 x (+.f64 x -5/3)))) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (+.f64 125/27 (pow.f64 x 3)) (+.f64 -1/27 (pow.f64 x 3))) (.f64 (+.f64 25/9 (.f64 x (+.f64 x -5/3))) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 25/9 (*.f64 x (+.f64 x -5/3)))) (+.f64 (pow.f64 x 3) 125/27)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 125/27) (+.f64 25/9 (.f64 x (+.f64 x -5/3)))) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 x x -1/9)) (.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)) (+.f64 x 1/3)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 -1/27 (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 -1/27 (pow.f64 x 3)))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)))
(/.f64 (.f64 (fma.f64 x x -1/9) (fma.f64 x x -25/9)) (.f64 (+.f64 x 1/3) (+.f64 x -5/3)))
(*.f64 (/.f64 (fma.f64 x x -25/9) (+.f64 x -5/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (fma.f64 x x -1/9) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (.f64 (+.f64 x 1/3) (+.f64 x -1/3)))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(*.f64 (+.f64 x 5/3) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (fma.f64 x x -1/9) (+.f64 125/27 (pow.f64 x 3))) (.f64 (+.f64 x 1/3) (+.f64 25/9 (*.f64 x (+.f64 x -5/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 125/27) (+.f64 25/9 (.f64 x (+.f64 x -5/3)))) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (fma.f64 x x -1/9) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)) (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x -25/9)) (.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 x -5/3)))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x -25/9)) (+.f64 x -5/3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (fma.f64 x x -25/9) (+.f64 x -5/3)) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) (.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 x -1/3)))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (+.f64 x 5/3) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 125/27 (pow.f64 x 3))) (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 25/9 (.f64 x (+.f64 x -5/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 25/9 (*.f64 x (+.f64 x -5/3)))) (+.f64 (pow.f64 x 3) 125/27)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 125/27) (+.f64 25/9 (.f64 x (+.f64 x -5/3)))) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1 (pow.f64 (+.f64 x 2/3) 3))) (.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x))) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (+.f64 -1/27 (pow.f64 x 3)))) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1/3 x)))
(pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 1)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 2)
(pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 4/3 x -5/9))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 3)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 3) 1/3)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(neg.f64 (*.f64 (+.f64 x -1/3) (-.f64 -5/3 x)))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)) (+.f64 x 5/3)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)) (neg.f64 (+.f64 x 5/3)))
(/.f64 (*.f64 (-.f64 -5/3 x) (fma.f64 x x (fma.f64 4/3 x -5/9))) (-.f64 -5/3 x))
(neg.f64 (*.f64 (+.f64 x 5/3) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x)) (neg.f64 (+.f64 x 5/3)))
(/.f64 (*.f64 (-.f64 -5/3 x) (fma.f64 x x (fma.f64 4/3 x -5/9))) (-.f64 -5/3 x))
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x x (fma.f64 4/3 x -5/9)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) (+.f64 x 5/3)))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) 3))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 5/3) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 x) 3) (pow.f64 (+.f64 x 5/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 3) (pow.f64 (+.f64 x 5/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 x) 3) (pow.f64 (+.f64 x 5/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))) 1))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2))))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(fma.f64 x (+.f64 x 5/3) (+.f64 (*.f64 x -1/3) -5/9))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(fma.f64 (+.f64 x 5/3) x (+.f64 (*.f64 x -1/3) -5/9))
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))
(fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) -1)
(+.f64 (fma.f64 4/3 x (*.f64 x x)) -5/9)
(fma.f64 x x (fma.f64 4/3 x -5/9))

eval218.0ms (4.5%)

Compiler: Compiled 7770 to 6074 computations (21.8% saved)

prune79.0ms (1.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	421	0	421
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	421	7	428

Error

Counts

428 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.6b	(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))
✓	15.1b	(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	29.2b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	34.4b	x
	28.7b	-1/3

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes33.0ms (0.7%)

Counts

12 → 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 (+.f64 x 5/3) (+.f64 x -1/3)) (-.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 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

26.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 95 to 74 computations (22.1% saved)

regimes9.0ms (0.2%)

Accuracy

Total -60.6b remaining (-4908.7%)

Threshold costs -60.6b (-4908.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch55.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.0028973841547417583	41.781890655507496
43.0ms	-628051716.9022881	-0.00048119309012375507

Results

51.0ms

288×

body

256

valid

Compiler

Compiled 118 to 98 computations (16.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness17.0ms (0.4%)

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)

end70.0ms (1.5%)

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

Details

analyze3.0ms (0.1%)

sample686.0ms (14.3%)

preprocess4.0ms (0.1%)

simplify13.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite48.0ms (1%)

simplify75.0ms (1.6%)

eval7.0ms (0.2%)

prune8.0ms (0.2%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite91.0ms (1.9%)

simplify83.0ms (1.7%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite85.0ms (1.8%)

simplify62.0ms (1.3%)

localize33.0ms (0.7%)

series3.0ms (0.1%)

rewrite119.0ms (2.5%)

simplify138.0ms (2.9%)

eval667.0ms (13.9%)

prune160.0ms (3.3%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite59.0ms (1.2%)

simplify12.0ms (0.3%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite61.0ms (1.3%)

simplify52.0ms (1.1%)

localize21.0ms (0.4%)

series4.0ms (0.1%)

rewrite155.0ms (3.2%)

simplify155.0ms (3.2%)

localize62.0ms (1.3%)

series3.0ms (0.1%)

rewrite117.0ms (2.4%)

simplify152.0ms (3.2%)

eval651.0ms (13.6%)

prune213.0ms (4.4%)

localize35.0ms (0.7%)

series1.0ms (0%)

rewrite104.0ms (2.2%)

simplify131.0ms (2.7%)

eval218.0ms (4.5%)

prune79.0ms (1.7%)

regimes33.0ms (0.7%)

regimes9.0ms (0.2%)

bsearch55.0ms (1.1%)

simplify4.0ms (0.1%)

soundness17.0ms (0.4%)

end70.0ms (1.5%)

Profiling