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)

sample984.0ms (24.6%)

Results

974.0ms

8256×

body

256

valid

Bogosity

preprocess8.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1385	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

Outputs

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

simplify46.0ms (1.1%)

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)

prune10.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.5b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
✓	0.0b	(+.f64 x -1/3)
▶	14.3b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
	32.6b	x
	30.5b	-1/3

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite95.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	233	36
2	2823	36

Stop Event

1×	node limit

Counts

4 → 361

Calls

Call 1

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

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

simplify167.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-l`
1490×	`associate-r`
1388×	`associate-/r*`
812×	`associate-/l/`
800×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	798	12211
1	2165	11909

Stop Event

1×	node limit

Counts

409 → 551

Calls

Call 1

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

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

localize20.0ms (0.5%)

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)))
✓	0.3b	(*.f64 x -1/3)
✓	18.9b	(/.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	@	-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 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
0.0ms	x	@	0	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
0.0ms	x	@	-inf	(*.f64 x -1/3)
0.0ms	x	@	inf	(*.f64 x -1/3)

rewrite142.0ms (3.5%)

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

simplify132.0ms (3.3%)

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

eval666.0ms (16.7%)

Compiler: Compiled 24792 to 18332 computations (26.1% saved)

prune268.0ms (6.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1015	2	1017
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	1017	5	1022

Error

Counts

1022 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.1b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) -1/9)))
✓	0.0b	(+.f64 x -1/3)
▶	30.9b	(*.f64 -1/9 (/.f64 1 (+.f64 x 1/3)))
	32.6b	x
	30.5b	-1/3

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`add-sqr-sqrt`
1788×	`*-un-lft-identity`
1684×	`add-cube-cbrt`
1672×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	193	13
2	2255	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/r*`
922×	`associate-/l*`
782×	`*-commutative`
712×	`distribute-lft-in`
638×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	580
1	194	580
2	560	580
3	2864	574

Stop Event

1×	node limit

Counts

30 → 42

Calls

Call 1

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

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

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) -1/9)
✓	0.1b	(.f64 (+.f64 x 1/3) (-.f64 (.f64 x x) -1/9))
✓	0.2b	(.f64 (.f64 x x) (*.f64 x x))
✓	21.4b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) -1/9)))

Compiler

Compiled 60 to 25 computations (58.3% saved)

series2.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite123.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	310	44
2	4443	44

Stop Event

1×	node limit

Counts

4 → 209

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (.f64 1 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (.f64 -1/81 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))) (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) (pow.f64 x 4)) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) -1/81))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) -1/81) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)) (.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) -1/9) (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) (.f64 x x)) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) -1/9) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (pow.f64 x 4)) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 1/81 (.f64 (.f64 x x) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 1/81 (.f64 (.f64 x x) -1/9))) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) 1/81)) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (.f64 (.f64 x x) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) 1) (.f64 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/81 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9))) (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3))) (.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/9 (/.f64 1 (+.f64 x 1/3))) (.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81))) (.f64 -1/9 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/9 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81))) (.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 4) (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729))) (.f64 (+.f64 1/81 (.f64 (.f64 x x) -1/9)) (/.f64 (.f64 (fma.f64 x x 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simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1124×	`associate-/r*`
964×	`associate-r`
918×	`associate-l`
846×	`times-frac`
718×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	521	8889
1	1539	7257

Stop Event

1×	node limit

Counts

257 → 295

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
1/27
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (+.f64 (.f64 1/9 x) (.f64 1/3 (pow.f64 x 2))))
(+.f64 1/27 (+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))))
(pow.f64 x 3)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 1/27 (+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))))
(pow.f64 x 3)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 1/27 (+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))))
1/9
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(+.f64 x -1/3)
(+.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))))
(+.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 1 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 -1/81 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9))))
(+.f64 -1/3 x)
(+.f64 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))) (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) (pow.f64 x 4)) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) -1/81))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) -1/81) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) -1/9) (.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) (.f64 x x)) (.f64 (/.f64 (*.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) -1/9))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) -1/9) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) (*.f64 x x)))
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(/.f64 1 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 4) -1/81)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) -1/9))) (+.f64 (pow.f64 x 6) 1/729)))
(/.f64 1 (*.f64 1 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 4) -1/81))))
(/.f64 1 (.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (*.f64 x x) -1/9))) (+.f64 (pow.f64 x 6) 1/729))))
(/.f64 1 (.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 (pow.f64 x 4) 1/81) (+.f64 (pow.f64 (.f64 x x) 4) -1/6561))))
(/.f64 1 (.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))) (+.f64 (pow.f64 (.f64 x x) 6) -1/531441))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (*.f64 1 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) 2) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) 2) (*.f64 1 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561) (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561) (.f64 1 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) -1/9))))
(/.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 (.f64 x x) 1/9))))
(/.f64 (+.f64 (pow.f64 x 6) 1/729) (.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 (*.f64 x x) 1/9)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (.f64 1 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81))))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 (.f64 x x) 4) (-.f64 1/6561 (.f64 (pow.f64 x 4) -1/81)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) -1/9))) (+.f64 -1/729 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 (.f64 x x) 1/9))) (+.f64 -1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (neg.f64 (fma.f64 x x -1/9)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (*.f64 1 (neg.f64 (fma.f64 x x -1/9))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441)) (.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561)) (.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81))) (sqrt.f64 (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561)) (.f64 (fma.f64 x x -1/9) (neg.f64 (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561)) (.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441)) (.f64 (fma.f64 x x -1/9) (neg.f64 (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441)) (.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 4) (pow.f64 (.f64 x x) 4)) 1/43046721) (.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (pow.f64 (.f64 x x) 4) 1/6561)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 6) (pow.f64 (.f64 x x) 6)) 1/282429536481) (.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)))) (+.f64 1/531441 (pow.f64 (.f64 x x) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x x) 4) 3) 1/282429536481) (.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 4) 1/81)) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) (pow.f64 (.f64 x x) 4)) (+.f64 1/43046721 (.f64 (pow.f64 (.f64 x x) 4) 1/6561)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x x) 6) 3) 1/150094635296999121) (.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)))) (+.f64 (.f64 (pow.f64 (.f64 x x) 6) (pow.f64 (.f64 x x) 6)) (+.f64 1/282429536481 (.f64 (pow.f64 (.f64 x x) 6) 1/531441)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) -1/9))) (+.f64 (pow.f64 (.f64 x x) 6) (+.f64 1/531441 (*.f64 (pow.f64 x 6) -1/729)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) -1/387420489) (.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 (.f64 x x) 1/9))) (+.f64 (pow.f64 (.f64 x x) 6) (+.f64 1/531441 (*.f64 (pow.f64 x 6) -1/729)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) 1/729)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) -1/9)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) 1/729)) (.f64 1 (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (*.f64 x x) -1/9))))))
(pow.f64 (fma.f64 x x 1/9) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x 1/9)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x 1/9) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x x 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x 1/9)))
(exp.f64 (log.f64 (fma.f64 x x 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x 1/9)))
(fma.f64 x x 1/9)
(fma.f64 1 (*.f64 x x) 1/9)
(fma.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) 1/9)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
1/27
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (*.f64 x 1/9))
(fma.f64 x 1/9 1/27)
(+.f64 1/27 (+.f64 (.f64 1/9 x) (.f64 1/3 (pow.f64 x 2))))
(+.f64 1/27 (fma.f64 1/9 x (.f64 1/3 (.f64 x x))))
(+.f64 1/27 (fma.f64 1/3 (.f64 x x) (.f64 x 1/9)))
(+.f64 1/27 (+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 1/27 (fma.f64 1/9 x (.f64 (+.f64 x 1/3) (.f64 x x))))
(*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))
(pow.f64 x 3)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))
(.f64 (+.f64 x 1/3) (.f64 x x))
(+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 1/9 x (.f64 (+.f64 x 1/3) (.f64 x x)))
(.f64 x (+.f64 1/9 (.f64 x (+.f64 x 1/3))))
(+.f64 1/27 (+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 1/27 (fma.f64 1/9 x (.f64 (+.f64 x 1/3) (.f64 x x))))
(*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))
(pow.f64 x 3)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))
(.f64 (+.f64 x 1/3) (.f64 x x))
(+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 1/9 x (.f64 (+.f64 x 1/3) (.f64 x x)))
(.f64 x (+.f64 1/9 (.f64 x (+.f64 x 1/3))))
(+.f64 1/27 (+.f64 (.f64 1/9 x) (+.f64 (.f64 1/3 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 1/27 (fma.f64 1/9 x (.f64 (+.f64 x 1/3) (.f64 x x))))
(*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))
1/9
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(+.f64 1/9 (pow.f64 x 2))
(fma.f64 x x 1/9)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 1 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9)))))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 -1/81 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9))))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 -1/3 x)
(+.f64 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))) (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) (pow.f64 x 4)) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) -1/81))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) -1/81) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9)) (pow.f64 x 4)))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) -1/9) (.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) (.f64 x x)) (.f64 (/.f64 (*.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) -1/9))
(.f64 (/.f64 (.f64 (+.f64 -1/3 x) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x -1/9))
(.f64 (.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 (pow.f64 x 4) -1/81)) (+.f64 -1/3 x)) (fma.f64 x x -1/9))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) -1/9) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 4) -1/81)) (*.f64 x x)))
(.f64 (/.f64 (.f64 (+.f64 -1/3 x) (fma.f64 x x 1/9)) (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x x -1/9))
(.f64 (.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 (pow.f64 x 4) -1/81)) (+.f64 -1/3 x)) (fma.f64 x x -1/9))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (pow.f64 x 4)) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 1/81 (.f64 (.f64 x x) -1/9))))
(.f64 (/.f64 (fma.f64 x x 1/9) (/.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 -1/3 x))) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x -1/9)))))
(.f64 (.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 -1/3 x)) (+.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/9 1/81)))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 1/81 (.f64 (.f64 x x) -1/9))) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (pow.f64 x 4)))
(.f64 (/.f64 (fma.f64 x x 1/9) (/.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 -1/3 x))) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x -1/9)))))
(.f64 (.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 -1/3 x)) (+.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/9 1/81)))
(+.f64 (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 (pow.f64 x 4) 1/81)) (.f64 (/.f64 (.f64 (fma.f64 x x 1/9) (-.f64 x 1/3)) (+.f64 (pow.f64 x 6) 1/729)) (.f64 (.f64 x x) -1/9)))
(.f64 (/.f64 (fma.f64 x x 1/9) (/.f64 (+.f64 (pow.f64 x 6) 1/729) (+.f64 -1/3 x))) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (*.f64 x -1/9)))))
(.f64 (.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 (pow.f64 x 6) 1/729)) (+.f64 -1/3 x)) (+.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/9 1/81)))
(+.f64 (.f64 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)) 1) (.f64 (neg.f64 (/.f64 (/.f64 1/81 (+.f64 x 1/3)) (fma.f64 x x 1/9))) 1))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 (*.f64 -1/81 (/.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x 1/9))) (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1/9)) (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))) (/.f64 1/81 (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(+.f64 (.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) 1/387420489) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x -1/9))))) (+.f64 (+.f64 (pow.f64 (.f64 x x) 6) 1/531441) (.f64 (pow.f64 x 6) -1/729)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) 1/387420489) (.f64 (+.f64 (pow.f64 x 4) (fma.f64 (.f64 x x) -1/9 1/81)) (+.f64 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) -1/729 1/531441))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) 1/729)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) -1/9)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 6)) -1/729) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x -1/9))))))
(/.f64 (-.f64 -1/729 (pow.f64 x 6)) (-.f64 (-.f64 -1/81 (pow.f64 x 4)) (.f64 x (.f64 x -1/9))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) 1/729)) (.f64 1 (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (*.f64 x x) -1/9))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 6)) -1/729) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 x (.f64 x -1/9))))))
(/.f64 (-.f64 -1/729 (pow.f64 x 6)) (-.f64 (-.f64 -1/81 (pow.f64 x 4)) (.f64 x (.f64 x -1/9))))
(pow.f64 (fma.f64 x x 1/9) 1)
(fma.f64 x x 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x x 1/9)) 2)
(fma.f64 x x 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x x 1/9)) 3)
(fma.f64 x x 1/9)
(pow.f64 (pow.f64 (fma.f64 x x 1/9) 3) 1/3)
(fma.f64 x x 1/9)
(sqrt.f64 (pow.f64 (fma.f64 x x 1/9) 2))
(fabs.f64 (fma.f64 x x 1/9))
(log.f64 (exp.f64 (fma.f64 x x 1/9)))
(fma.f64 x x 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x 1/9))))
(fma.f64 x x 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x x 1/9) 3))
(fma.f64 x x 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x x 1/9)))
(fma.f64 x x 1/9)
(exp.f64 (log.f64 (fma.f64 x x 1/9)))
(fma.f64 x x 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1/9)) 1))
(fma.f64 x x 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x x 1/9)))
(fma.f64 x x 1/9)
(fma.f64 x x 1/9)
(fma.f64 1 (*.f64 x x) 1/9)
(fma.f64 x x 1/9)
(fma.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) 1/9)
(fma.f64 x x 1/9)

eval372.0ms (9.3%)

Compiler: Compiled 14166 to 9886 computations (30.2% saved)

prune157.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	656	1	657
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	657	5	662

Error

Counts

662 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.7b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))
✓	0.0b	(+.f64 x -1/3)
✓	30.9b	(*.f64 -1/9 (/.f64 1 (+.f64 x 1/3)))
	32.6b	x
	30.5b	-1/3

Compiler

Compiled 32 to 23 computations (28.1% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/27 (*.f64 x 1/9))
	0.2b	(.f64 (.f64 x x) (*.f64 x x))
✓	0.4b	(*.f64 x 1/9)
✓	2.3b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))

Compiler

Compiled 47 to 21 computations (55.3% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))
0.0ms	x	@	inf	(*.f64 x 1/9)
0.0ms	x	@	-inf	(*.f64 x 1/9)
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))
0.0ms	x	@	0	(*.f64 x 1/9)

rewrite83.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	276	43
2	3696	43

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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simplify129.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

812×	`+-commutative`
604×	`associate-/r*`
588×	`associate-+r+`
558×	`associate-r`
548×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	7404
1	1207	6322
2	6334	6310

Stop Event

1×	node limit

Counts

182 → 255

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(*.f64 9 (pow.f64 x 3))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 9 (pow.f64 x 3)))
(+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(*.f64 9 (pow.f64 x 3))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 9 (pow.f64 x 3)))
(+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
1/27
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (*.f64 1/9 x))
(*.f64 1/9 x)
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (*.f64 1/9 x))
(*.f64 1/9 x)
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 1/27 (*.f64 1/9 x))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))))
(+.f64 (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))) (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))) 1)
(*.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 1 (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (+.f64 (pow.f64 x 4) -1/81))
(*.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (+.f64 1/27 (.f64 -1/9 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(.f64 (/.f64 1 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/27 (*.f64 -1/9 x))))
(.f64 (/.f64 1 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(*.f64 (/.f64 -1 (fma.f64 x 1/9 1/27)) (-.f64 1/81 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (neg.f64 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (neg.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (neg.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 (.f64 (.f64 x x) 1/81) 1/729)) (-.f64 (.f64 x 1/9) 1/27))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x 1/9 1/27) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (+.f64 1/27 (.f64 -1/9 x)))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (neg.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561) (/.f64 1 (fma.f64 x 1/9 1/27))) (+.f64 (pow.f64 (.f64 x x) 4) -1/6561)) (+.f64 (pow.f64 x 4) -1/81))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 4) -1/6561) (/.f64 1 (fma.f64 x 1/9 1/27))) (+.f64 1/531441 (pow.f64 (.f64 x x) 6))) (+.f64 (pow.f64 (.f64 x x) 4) (-.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (/.f64 1 (fma.f64 x 1/9 1/27))) (-.f64 (.f64 (pow.f64 (.f64 x x) 4) (pow.f64 (.f64 x x) 4)) (.f64 (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))) (-.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (*.f64 (pow.f64 x 4) 1/81))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 6) -1/531441) (/.f64 1 (fma.f64 x 1/9 1/27))) (+.f64 (pow.f64 (pow.f64 (.f64 x x) 4) 3) (pow.f64 (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)) 3))) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) (pow.f64 (.f64 x x) 4)) (-.f64 (.f64 (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81)) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))) (.f64 (pow.f64 (.f64 x x) 4) (+.f64 1/6561 (.f64 (pow.f64 x 4) 1/81))))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (.f64 (+.f64 1/27 (.f64 -1/9 x)) (+.f64 1/27 (*.f64 -1/9 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (fma.f64 x 1/9 1/27) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (+.f64 1/27 (*.f64 -1/9 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (fma.f64 x 1/9 1/27) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (fma.f64 x 1/9 1/27))) (+.f64 1/27 (*.f64 -1/9 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (fma.f64 x 1/9 1/27))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (.f64 (+.f64 1/27 (.f64 -1/9 x)) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (.f64 (fma.f64 x 1/9 1/27) 1/81)) (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)) (+.f64 1/27 (.f64 -1/9 x))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/9 1/27) (+.f64 (pow.f64 x 4) -1/81)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 -1/27 (*.f64 x 1/9))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/9))) 1)
(pow.f64 (*.f64 x 1/9) 1)
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
(pow.f64 (*.f64 1/729 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/81))
(log.f64 (exp.f64 (*.f64 x 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 1/729 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/9)))
(exp.f64 (log.f64 (*.f64 x 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/9)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/9 1/27))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/9))) 26/27)
(-.f64 (/.f64 1/729 (+.f64 1/27 (.f64 -1/9 x))) (/.f64 (.f64 x x) (/.f64 (+.f64 1/27 (*.f64 -1/9 x)) 1/81)))
(-.f64 (+.f64 1/27 (exp.f64 (log1p.f64 (*.f64 x 1/9)))) 1)
(*.f64 (fma.f64 x 1/9 1/27) 1)
(*.f64 1 (fma.f64 x 1/9 1/27))
(*.f64 (sqrt.f64 (fma.f64 x 1/9 1/27)) (sqrt.f64 (fma.f64 x 1/9 1/27)))
(*.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2) (cbrt.f64 (fma.f64 x 1/9 1/27)))
(.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (/.f64 1 (+.f64 1/27 (.f64 -1/9 x))))
(.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(.f64 (/.f64 1 (+.f64 1/27 (.f64 -1/9 x))) (-.f64 1/729 (.f64 (.f64 x x) 1/81)))
(.f64 (/.f64 1 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))) (+.f64 1/19683 (*.f64 1/729 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (-.f64 1/729 (.f64 (*.f64 x x) 1/81))) (fma.f64 x 1/9 1/27))
(.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (-.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (+.f64 1/729 (+.f64 (.f64 (.f64 x x) 1/81) (*.f64 1/243 x))))
(.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (-.f64 1/531441 (.f64 (-.f64 (.f64 (.f64 x x) 1/81) (.f64 1/243 x)) (-.f64 (.f64 (.f64 x x) 1/81) (.f64 1/243 x))))) (+.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (+.f64 1/387420489 (pow.f64 (-.f64 (.f64 (.f64 x x) 1/81) (.f64 1/243 x)) 3))) (-.f64 (+.f64 1/531441 (.f64 (-.f64 (.f64 (.f64 x x) 1/81) (.f64 1/243 x)) (-.f64 (.f64 (.f64 x x) 1/81) (.f64 1/243 x)))) (.f64 1/729 (-.f64 (.f64 (.f64 x x) 1/81) (.f64 1/243 x)))))
(/.f64 (fma.f64 x 1/9 1/27) 1)
(/.f64 1 (/.f64 1 (fma.f64 x 1/9 1/27)))
(/.f64 (sqrt.f64 (fma.f64 x 1/9 1/27)) (/.f64 1 (sqrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (+.f64 1/27 (*.f64 -1/9 x)))
(/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (/.f64 1 (/.f64 1 (+.f64 1/27 (*.f64 -1/9 x)))))
(/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))))
(/.f64 (sqrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (/.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)) (sqrt.f64 (+.f64 1/19683 (*.f64 1/729 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (/.f64 (+.f64 1/27 (.f64 -1/9 x)) (sqrt.f64 (-.f64 1/729 (.f64 (*.f64 x x) 1/81)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))) (/.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)) (cbrt.f64 (+.f64 1/19683 (*.f64 1/729 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (cbrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))) (/.f64 (+.f64 1/27 (.f64 -1/9 x)) (cbrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)))))
(/.f64 (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (neg.f64 (+.f64 1/27 (*.f64 -1/9 x))))
(/.f64 (neg.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/81) 1/729) (-.f64 (*.f64 x 1/9) 1/27))
(/.f64 (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) 1) (+.f64 1/27 (.f64 -1/9 x)))
(/.f64 (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) 1) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(/.f64 (.f64 (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) 1) (neg.f64 (+.f64 1/27 (.f64 -1/9 x))))
(/.f64 (.f64 (neg.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) 1) (neg.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) 1/81) 1/729) 1) (-.f64 (.f64 x 1/9) 1/27))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(/.f64 (.f64 (-.f64 1/531441 (.f64 (.f64 (.f64 x x) 1/81) (.f64 (.f64 x x) 1/81))) (/.f64 1 (+.f64 1/27 (.f64 -1/9 x)))) (+.f64 1/729 (.f64 (*.f64 x x) 1/81)))
(/.f64 (.f64 (-.f64 1/387420489 (pow.f64 (.f64 (.f64 x x) 1/81) 3)) (/.f64 1 (+.f64 1/27 (.f64 -1/9 x)))) (+.f64 1/531441 (+.f64 (.f64 (.f64 (.f64 x x) 1/81) (.f64 (.f64 x x) 1/81)) (.f64 1/729 (.f64 (.f64 x x) 1/81)))))
(/.f64 (.f64 (-.f64 1/387420489 (.f64 (.f64 1/729 (pow.f64 x 3)) (.f64 1/729 (pow.f64 x 3)))) (/.f64 1 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))) (-.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 1/7625597484987 (pow.f64 (.f64 1/729 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))) (+.f64 1/387420489 (-.f64 (.f64 (.f64 1/729 (pow.f64 x 3)) (.f64 1/729 (pow.f64 x 3))) (.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) 1) (+.f64 1/27 (*.f64 -1/9 x)))
(/.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x)))) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(/.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(/.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) 1) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(/.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (.f64 (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(pow.f64 (fma.f64 x 1/9 1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/9 1/27)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/9 1/27) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/9 1/27) 2))
(log.f64 (exp.f64 (fma.f64 x 1/9 1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/9 1/27))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/9 1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/9 1/27)))
(exp.f64 (log.f64 (fma.f64 x 1/9 1/27)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/9 1/27)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/9 1/27)))
(fma.f64 x 1/9 1/27)
(fma.f64 1/9 x 1/27)
(fma.f64 1 (*.f64 x 1/9) 1/27)
(fma.f64 (.f64 1/3 (sqrt.f64 x)) (.f64 1/3 (sqrt.f64 x)) 1/27)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/81)) (cbrt.f64 (*.f64 x 1/9)) 1/27)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) x) -1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(*.f64 9 (pow.f64 x 3))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 9 (pow.f64 x 3)))
(fma.f64 -3 (.f64 x x) (.f64 9 (pow.f64 x 3)))
(fma.f64 9 (pow.f64 x 3) (.f64 x (.f64 x -3)))
(.f64 (.f64 x x) (+.f64 -3 (*.f64 x 9)))
(+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x))
(fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(*.f64 9 (pow.f64 x 3))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 9 (pow.f64 x 3)))
(fma.f64 -3 (.f64 x x) (.f64 9 (pow.f64 x 3)))
(fma.f64 9 (pow.f64 x 3) (.f64 x (.f64 x -3)))
(.f64 (.f64 x x) (+.f64 -3 (*.f64 x 9)))
(+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x))
(fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
1/27
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(*.f64 1/9 x)
(*.f64 x 1/9)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(*.f64 1/9 x)
(*.f64 x 1/9)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(+.f64 1/27 (*.f64 1/9 x))
(fma.f64 x 1/9 1/27)
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 -1/81 (fma.f64 x 1/9 1/27)))
(+.f64 (neg.f64 (/.f64 1/81 (fma.f64 x 1/9 1/27))) (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 -1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 1/81 (fma.f64 x 1/9 1/27)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x 1/9 1/27)) (/.f64 -1/81 (fma.f64 x 1/9 1/27)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))) 1)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 1 (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)) 1)
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (/.f64 1 (fma.f64 x 1/9 1/27))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (+.f64 (pow.f64 x 4) -1/81))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x 1/9 1/27)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (+.f64 (pow.f64 x 4) -1/81) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (+.f64 1/27 (.f64 -1/9 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 x (.f64 x 1/81)))) (+.f64 1/27 (.f64 x -1/9)))
(.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 (fma.f64 x 1/9 -1/27) (fma.f64 x (.f64 x 1/81) -1/729)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729))) (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (*.f64 -1/243 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 (pow.f64 x 3) 1/729 1/19683)) (+.f64 1/729 (.f64 x (-.f64 (*.f64 x 1/81) 1/243))))
(.f64 (/.f64 1 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/27 (*.f64 -1/9 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 1/729 (.f64 x (.f64 x 1/81)))) (+.f64 1/27 (.f64 x -1/9)))
(.f64 (+.f64 (pow.f64 x 4) -1/81) (/.f64 (fma.f64 x 1/9 -1/27) (fma.f64 x (.f64 x 1/81) -1/729)))
(.f64 (/.f64 1 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 x 4) -1/81) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729))) (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (*.f64 -1/243 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 (pow.f64 x 3) 1/729 1/19683)) (+.f64 1/729 (.f64 x (-.f64 (*.f64 x 1/81) 1/243))))
(*.f64 (/.f64 -1 (fma.f64 x 1/9 1/27)) (-.f64 1/81 (pow.f64 x 4)))
(*.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x 1/9 1/27)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (cbrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (sqrt.f64 (fma.f64 x 1/9 1/27))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (.f64 (/.f64 1 (fma.f64 x 1/9 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1/81)) (fma.f64 x 1/9 1/27)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x 1/9 1/27))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1/81) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)))
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(/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27))
(/.f64 (.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) 1) (+.f64 1/27 (.f64 -1/9 x)))
(-.f64 (/.f64 1/729 (+.f64 1/27 (.f64 x -1/9))) (.f64 (/.f64 (.f64 x x) (+.f64 1/27 (.f64 x -1/9))) 1/81))
(/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27))
(/.f64 (.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) 1) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x)))
(/.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729)) (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/729 1/19683) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))))
(/.f64 (.f64 (neg.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) 1) (neg.f64 (+.f64 1/27 (.f64 -1/9 x))))
(-.f64 (/.f64 1/729 (+.f64 1/27 (.f64 x -1/9))) (.f64 (/.f64 (.f64 x x) (+.f64 1/27 (.f64 x -1/9))) 1/81))
(/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27))
(/.f64 (.f64 (neg.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) 1) (neg.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729)) (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/729 1/19683) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) 1/81) 1/729) 1) (-.f64 (.f64 x 1/9) 1/27))
(-.f64 (/.f64 1/729 (+.f64 1/27 (.f64 x -1/9))) (.f64 (/.f64 (.f64 x x) (+.f64 1/27 (.f64 x -1/9))) 1/81))
(/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (sqrt.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x))) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (sqrt.f64 (fma.f64 x 1/9 1/27)) (/.f64 (sqrt.f64 (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/729 1/19683))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (sqrt.f64 (fma.f64 x 1/9 1/27))) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 1/9 1/27)) (sqrt.f64 (-.f64 1/729 (.f64 x (.f64 x 1/81))))) (sqrt.f64 (+.f64 1/27 (.f64 x -1/9))))
(/.f64 (sqrt.f64 (-.f64 1/729 (.f64 x (.f64 x 1/81)))) (/.f64 (sqrt.f64 (fma.f64 x -1/9 1/27)) (sqrt.f64 (fma.f64 x 1/9 1/27))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (cbrt.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729))) (/.f64 (cbrt.f64 (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/729 1/19683)) (cbrt.f64 (+.f64 1/729 (.f64 x (-.f64 (*.f64 x 1/81) 1/243))))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(/.f64 (cbrt.f64 (-.f64 1/729 (.f64 x (.f64 x 1/81)))) (/.f64 (cbrt.f64 (+.f64 1/27 (*.f64 x -1/9))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1/729 (.f64 x (*.f64 x 1/81)))) (cbrt.f64 (fma.f64 x -1/9 1/27))) (pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 2))
(/.f64 (.f64 (-.f64 1/531441 (.f64 (.f64 (.f64 x x) 1/81) (.f64 (.f64 x x) 1/81))) (/.f64 1 (+.f64 1/27 (.f64 -1/9 x)))) (+.f64 1/729 (.f64 (*.f64 x x) 1/81)))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 4) 1/6561)) (/.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (/.f64 1 (+.f64 1/27 (.f64 x -1/9)))))
(/.f64 (+.f64 1/531441 (.f64 (pow.f64 x 4) -1/6561)) (.f64 (fma.f64 x (*.f64 x 1/81) 1/729) (fma.f64 x -1/9 1/27)))
(/.f64 (.f64 (-.f64 1/387420489 (pow.f64 (.f64 (.f64 x x) 1/81) 3)) (/.f64 1 (+.f64 1/27 (.f64 -1/9 x)))) (+.f64 1/531441 (+.f64 (.f64 (.f64 (.f64 x x) 1/81) (.f64 (.f64 x x) 1/81)) (.f64 1/729 (.f64 (.f64 x x) 1/81)))))
(/.f64 (-.f64 1/387420489 (pow.f64 (.f64 x (.f64 x 1/81)) 3)) (/.f64 (+.f64 1/531441 (.f64 (.f64 x (.f64 x 1/81)) (+.f64 1/729 (.f64 x (.f64 x 1/81))))) (/.f64 1 (+.f64 1/27 (.f64 x -1/9)))))
(/.f64 (/.f64 (+.f64 1/387420489 (.f64 -1/531441 (pow.f64 x 6))) (fma.f64 x -1/9 1/27)) (+.f64 1/531441 (fma.f64 (pow.f64 x 4) 1/6561 (.f64 (*.f64 x x) 1/59049))))
(/.f64 (.f64 (-.f64 1/387420489 (.f64 (.f64 1/729 (pow.f64 x 3)) (.f64 1/729 (pow.f64 x 3)))) (/.f64 1 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))) (-.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))
(/.f64 (-.f64 1/387420489 (.f64 1/531441 (.f64 (pow.f64 x 3) (pow.f64 x 3)))) (/.f64 (+.f64 1/19683 (.f64 -1/729 (pow.f64 x 3))) (/.f64 1 (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x)))))
(/.f64 (+.f64 1/387420489 (.f64 -1/531441 (pow.f64 x 6))) (.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) -1/729)) (+.f64 1/729 (.f64 x (-.f64 (*.f64 x 1/81) 1/243)))))
(/.f64 (.f64 (+.f64 1/7625597484987 (pow.f64 (.f64 1/729 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))) (+.f64 1/387420489 (-.f64 (.f64 (.f64 1/729 (pow.f64 x 3)) (.f64 1/729 (pow.f64 x 3))) (.f64 1/19683 (.f64 1/729 (pow.f64 x 3))))))
(/.f64 (+.f64 1/7625597484987 (.f64 1/387420489 (pow.f64 (pow.f64 x 3) 3))) (/.f64 (+.f64 1/387420489 (.f64 (.f64 (pow.f64 x 3) 1/729) (-.f64 (.f64 (pow.f64 x 3) 1/729) 1/19683))) (/.f64 1 (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (*.f64 -1/243 x)))))
(/.f64 (/.f64 (fma.f64 1/387420489 (pow.f64 (pow.f64 x 3) 3) 1/7625597484987) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243)))) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 x 6) (*.f64 -1/14348907 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) 1) (+.f64 1/27 (*.f64 -1/9 x)))
(-.f64 (/.f64 1/729 (+.f64 1/27 (.f64 x -1/9))) (.f64 (/.f64 (.f64 x x) (+.f64 1/27 (.f64 x -1/9))) 1/81))
(/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27))
(/.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x)))) (sqrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(-.f64 (/.f64 1/729 (+.f64 1/27 (.f64 x -1/9))) (.f64 (/.f64 (.f64 x x) (+.f64 1/27 (.f64 x -1/9))) 1/81))
(/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27))
(/.f64 (/.f64 (-.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))) (cbrt.f64 (+.f64 1/27 (.f64 -1/9 x))))
(-.f64 (/.f64 1/729 (+.f64 1/27 (.f64 x -1/9))) (.f64 (/.f64 (.f64 x x) (+.f64 1/27 (.f64 x -1/9))) 1/81))
(/.f64 (fma.f64 x (*.f64 x 1/81) -1/729) (fma.f64 x 1/9 -1/27))
(/.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) 1) (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))
(/.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729)) (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/729 1/19683) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))))
(/.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x)))) (sqrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729)) (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/729 1/19683) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))))
(/.f64 (/.f64 (+.f64 1/19683 (.f64 1/729 (pow.f64 x 3))) (.f64 (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (.f64 1/243 x))))) (cbrt.f64 (-.f64 (+.f64 1/729 (.f64 (.f64 x x) 1/81)) (*.f64 1/243 x))))
(/.f64 (+.f64 1/19683 (.f64 (pow.f64 x 3) 1/729)) (+.f64 (+.f64 1/729 (.f64 x (.f64 x 1/81))) (.f64 -1/243 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/729 1/19683) (+.f64 1/729 (.f64 x (-.f64 (.f64 x 1/81) 1/243))))
(pow.f64 (fma.f64 x 1/9 1/27) 1)
(fma.f64 x 1/9 1/27)
(pow.f64 (sqrt.f64 (fma.f64 x 1/9 1/27)) 2)
(fma.f64 x 1/9 1/27)
(pow.f64 (cbrt.f64 (fma.f64 x 1/9 1/27)) 3)
(fma.f64 x 1/9 1/27)
(pow.f64 (pow.f64 (fma.f64 x 1/9 1/27) 3) 1/3)
(fma.f64 x 1/9 1/27)
(sqrt.f64 (pow.f64 (fma.f64 x 1/9 1/27) 2))
(fabs.f64 (fma.f64 x 1/9 1/27))
(log.f64 (exp.f64 (fma.f64 x 1/9 1/27)))
(fma.f64 x 1/9 1/27)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/9 1/27))))
(fma.f64 x 1/9 1/27)
(cbrt.f64 (pow.f64 (fma.f64 x 1/9 1/27) 3))
(fma.f64 x 1/9 1/27)
(expm1.f64 (log1p.f64 (fma.f64 x 1/9 1/27)))
(fma.f64 x 1/9 1/27)
(exp.f64 (log.f64 (fma.f64 x 1/9 1/27)))
(fma.f64 x 1/9 1/27)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/9 1/27)) 1))
(fma.f64 x 1/9 1/27)
(log1p.f64 (expm1.f64 (fma.f64 x 1/9 1/27)))
(fma.f64 x 1/9 1/27)
(fma.f64 x 1/9 1/27)
(fma.f64 1/9 x 1/27)
(fma.f64 x 1/9 1/27)
(fma.f64 1 (*.f64 x 1/9) 1/27)
(fma.f64 x 1/9 1/27)
(fma.f64 (.f64 1/3 (sqrt.f64 x)) (.f64 1/3 (sqrt.f64 x)) 1/27)
(+.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2) 1/27)
(+.f64 1/27 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/81)) (cbrt.f64 (*.f64 x 1/9)) 1/27)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/81))) (cbrt.f64 (*.f64 x 1/9)) 1/27)

eval138.0ms (3.5%)

Compiler: Compiled 7036 to 4909 computations (30.2% saved)

prune38.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	272	5	277

Error

Counts

277 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.7b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/81) (+.f64 1/27 (.f64 x 1/9)))
✓	0.0b	(+.f64 x -1/3)
✓	30.9b	(*.f64 -1/9 (/.f64 1 (+.f64 x 1/3)))
	32.6b	x
	30.5b	-1/3

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes16.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/3)

Calls

2 calls:

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

Results

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

Compiler

Compiled 85 to 54 computations (36.5% saved)

regimes10.0ms (0.2%)

Accuracy

Total -60.2b remaining (-4109.3%)

Threshold costs -60.2b (-4109.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch23.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	0.04236781280525756	8.742874601714373
13.0ms	-1476.1021114207147	-9.261127397406243e-6

Results

20.0ms

256×

body

256

valid

Compiler

Compiled 106 to 88 computations (17% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness12.0ms (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

Compiler

Compiled 19 to 15 computations (21.1% saved)

end23.0ms (0.6%)

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

Details

analyze3.0ms (0.1%)

sample984.0ms (24.6%)

preprocess8.0ms (0.2%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (1.2%)

simplify46.0ms (1.1%)

eval7.0ms (0.2%)

prune10.0ms (0.2%)

localize11.0ms (0.3%)

series3.0ms (0.1%)

rewrite95.0ms (2.4%)

simplify167.0ms (4.2%)

localize20.0ms (0.5%)

series3.0ms (0.1%)

rewrite142.0ms (3.5%)

simplify132.0ms (3.3%)

eval666.0ms (16.7%)

prune268.0ms (6.7%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite53.0ms (1.3%)

simplify44.0ms (1.1%)

localize18.0ms (0.4%)

series2.0ms (0.1%)

rewrite123.0ms (3.1%)

simplify91.0ms (2.3%)

eval372.0ms (9.3%)

prune157.0ms (3.9%)

localize23.0ms (0.6%)

series2.0ms (0.1%)

rewrite83.0ms (2.1%)

simplify129.0ms (3.2%)

eval138.0ms (3.5%)

prune38.0ms (0.9%)

regimes16.0ms (0.4%)

regimes10.0ms (0.2%)

bsearch23.0ms (0.6%)

simplify6.0ms (0.1%)

soundness12.0ms (0.3%)

end23.0ms (0.6%)

Profiling