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)

sample691.0ms (28.8%)

Results

659.0ms

8256×

body

256

valid

Bogosity

preprocess12.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.5%)

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 (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

Outputs

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

simplify53.0ms (2.2%)

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 (0.3%)

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

prune6.0ms (0.3%)

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
▶	22.8b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
▶	0.5b	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	0.0b	(+.f64 x -1/3)
	29.8b	x
	33.2b	-1/3

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

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

Outputs

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

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

simplify62.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1106×	`times-frac`
792×	`unswap-sqr`
652×	`associate--r+`
564×	`associate-/l*`
560×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2167
1	522	1889
2	2415	1869

Stop Event

1×	node limit

Counts

117 → 121

Calls

Call 1

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

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

localize32.0ms (1.3%)

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)
✓	21.9b	(/.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	@	0	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
1.0ms	x	@	inf	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
0.0ms	x	@	-inf	(*.f64 x -1/3)
0.0ms	x	@	inf	(*.f64 x -1/3)

rewrite162.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

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

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

simplify159.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

814×	`associate-r`
742×	`+-commutative`
684×	`distribute-lft-in`
634×	`associate-+r+`
630×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	15564
1	2124	13724

Stop Event

1×	node limit

Counts

354 → 493

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)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))))) 1)
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) 1)
(.f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) 2) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(.f64 (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) (+.f64 -1/27 (pow.f64 x 3)))
(.f64 (-.f64 1/27 (pow.f64 x 3)) (/.f64 -1 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2)) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (/.f64 1 (-.f64 1/81 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2))) (.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))))
(.f64 (/.f64 1 (+.f64 1/729 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3))) (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x x) (*.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 1/81 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2))) (-.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/729 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 1/9))))
(.f64 (/.f64 -1 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) (-.f64 1/27 (pow.f64 x 3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2)) (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2)) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2)))) (neg.f64 (-.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3)))) (neg.f64 (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2) 1/81)) (-.f64 (-.f64 (.f64 x x) (*.f64 x -1/3)) 1/9))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1/9 (.f64 x x)) 3) (.f64 -1/27 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (.f64 1/9 (.f64 x x))) (.f64 (+.f64 1/9 (.f64 x x)) (*.f64 x -1/3))))
(.f64 (/.f64 1 (/.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2))) (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (neg.f64 (-.f64 1/81 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2)))) (-.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))
(.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/729 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3)))) (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 1/9))))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/27 (pow.f64 x 3)))
(.f64 (/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (-.f64 -1/19683 (pow.f64 x 9))) (+.f64 (+.f64 1/729 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (-.f64 1/531441 (.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3)))))) (+.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 -1/27 (pow.f64 x 3))))
(.f64 (/.f64 (.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (+.f64 1/387420489 (pow.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) 3))) (-.f64 (+.f64 1/531441 (.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))))) (.f64 1/729 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (sqrt.f64 (+.f64 1/729 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3)))) (sqrt.f64 (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (sqrt.f64 (-.f64 1/81 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2)))) (sqrt.f64 (-.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2)) (cbrt.f64 (+.f64 1/729 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3)))) (cbrt.f64 (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 1/9)))))
(.f64 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2)) (cbrt.f64 (-.f64 1/81 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2)))) (cbrt.f64 (-.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))) -1)
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) (pow.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(-.f64 (.f64 x x) (-.f64 (.f64 x -1/3) 1/9))
(-.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3))) 1/9))
(-.f64 (.f64 x x) (-.f64 (.f64 x -1/3) (+.f64 1/9 (fma.f64 1/3 x (*.f64 x -1/3)))))
(-.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3))) (+.f64 1/9 (fma.f64 1/3 x (.f64 x -1/3)))))
(-.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x -1/3) 1/9) (fma.f64 1/3 x (*.f64 x -1/3))))
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(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (.f64 x -1/3)) 3) (pow.f64 (fma.f64 1/3 x (.f64 x -1/3)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (.f64 x -1/3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x -1/3))))
(exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 x -1/3))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (*.f64 x -1/3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x 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 (.f64 x x) (.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) 2) (cbrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) (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)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))))) 1)
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) 1)
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x 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 -1/27 (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)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) 2) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))
(.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) (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (/.f64 1 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) (+.f64 -1/27 (pow.f64 x 3)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (-.f64 1/27 (pow.f64 x 3)) (/.f64 -1 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (-.f64 1/27 (pow.f64 x 3)) (/.f64 -1 (+.f64 1/9 (.f64 x (-.f64 x -1/3)))))
(*.f64 (-.f64 1/27 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2)) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (/.f64 1 (-.f64 1/81 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2))) (.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 1/9 (-.f64 (.f64 x 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 1 (+.f64 1/729 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3))) (.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x 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 (.f64 x (-.f64 x -1/3)) (+.f64 (.f64 x (-.f64 x -1/3)) -1/9)))))
(.f64 (+.f64 1/81 (.f64 x (.f64 (-.f64 x -1/3) (+.f64 (.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 (.f64 x x) (.f64 x -1/3)) 2))) (-.f64 1/9 (-.f64 (.f64 x 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 (.f64 x x) (.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) (-.f64 (-.f64 (.f64 x 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 (.f64 x (-.f64 x -1/3)) (+.f64 (.f64 x (-.f64 x -1/3)) -1/9)))))
(.f64 (+.f64 1/81 (.f64 x (.f64 (-.f64 x -1/3) (+.f64 (.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 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) (-.f64 1/27 (pow.f64 x 3)))
(.f64 (-.f64 1/27 (pow.f64 x 3)) (/.f64 -1 (+.f64 1/9 (.f64 x (-.f64 x -1/3)))))
(*.f64 (-.f64 1/27 (pow.f64 x 3)) (/.f64 -1 (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))) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (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))) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))) (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (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 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))) 2)) (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3)))))
(.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) (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (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 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/9 (-.f64 (.f64 x x) (*.f64 x -1/3))))))
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(/.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) (pow.f64 (.f64 x 1/3) 3)) (.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) (pow.f64 (.f64 x 1/3) 3)) (.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 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 1/3) 3)) (.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)))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 1/3) 3)) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 (.f64 -1/3 x) (+.f64 -1/3 x)))))) (.f64 (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 (.f64 x x) (.f64 x -1/3)) 1)
(*.f64 x (+.f64 x 1/3))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) 2)
(*.f64 x (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) 3)
(*.f64 x (+.f64 x 1/3))
(pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3) 1/3)
(*.f64 x (+.f64 x 1/3))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x -1/3)) 2))
(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 (.f64 x x) (.f64 x -1/3)))))
(*.f64 x (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 x -1/3)) 3))
(*.f64 x (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (*.f64 x -1/3))) 1))
(*.f64 x (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x 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 (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 1 (.f64 x x) (.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(fma.f64 1 (-.f64 (.f64 x x) (.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) 2) (cbrt.f64 (-.f64 (.f64 x x) (.f64 x -1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))

eval319.0ms (13.3%)

Compiler: Compiled 16870 to 12455 computations (26.2% saved)

prune210.0ms (8.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	650	1	651
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	652	4	656

Error

Counts

656 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	0.0b	(+.f64 x -1/3)
	29.8b	x
	33.2b	-1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify299.0ms (12.5%)

Algorithm

1×	egg-herbie

Rules

1038×	`times-frac`
838×	`fma-def`
728×	`unswap-sqr`
632×	`associate-/r*`
592×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1374
1	399	1308
2	1766	1192

Stop Event

1×	node limit

Counts

102 → 93

Calls

Call 1

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

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

eval25.0ms (1.1%)

Compiler: Compiled 968 to 771 computations (20.4% saved)

prune13.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Error

Counts

97 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	0.0b	(+.f64 x -1/3)
	29.8b	x
	33.2b	-1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	0.0b	(+.f64 x -1/3)
	29.8b	x
	33.2b	-1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes55.0ms (2.3%)

Counts

7 → 1

Calls

Call 1

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

49.0ms	(-.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 46 to 35 computations (23.9% saved)

regimes10.0ms (0.4%)

Accuracy

Total -60.8b remaining (-5752.5%)

Threshold costs -60.8b (-5752.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch28.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	5.07432380685135e-7	7.963156667809301
15.0ms	-408847.52645024384	-0.0003041563868153982

Results

24.0ms

288×

body

256

valid

Compiler

Compiled 118 to 98 computations (16.9% saved)

simplify5.0ms (0.2%)

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 (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end21.0ms (0.9%)

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

Details

analyze3.0ms (0.1%)

sample691.0ms (28.8%)

preprocess12.0ms (0.5%)

simplify13.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (2.1%)

simplify53.0ms (2.2%)

eval7.0ms (0.3%)

prune6.0ms (0.3%)

localize7.0ms (0.3%)

series0.0ms (0%)

rewrite73.0ms (3%)

simplify62.0ms (2.6%)

localize32.0ms (1.3%)

series3.0ms (0.1%)

rewrite162.0ms (6.8%)

simplify159.0ms (6.6%)

eval319.0ms (13.3%)

prune210.0ms (8.7%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite59.0ms (2.5%)

simplify299.0ms (12.5%)

eval25.0ms (1.1%)

prune13.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes55.0ms (2.3%)

regimes10.0ms (0.4%)

bsearch28.0ms (1.2%)

simplify5.0ms (0.2%)

soundness12.0ms (0.5%)

end21.0ms (0.9%)

Profiling