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)

sample828.0ms (28.9%)

Results

818.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	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)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	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)

localize4.0ms (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)

rewrite90.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1384	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)))))

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1222×	`distribute-lft-in`
1102×	`distribute-rgt-in`
1036×	`associate-/l*`
914×	`associate-r`
778×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	191	586
2	694	490
3	3237	490

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.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 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.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 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.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 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.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 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (+.f64 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 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.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 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.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 319 to 235 computations (26.3% saved)

prune8.0ms (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
▶	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.0b	(+.f64 x 1/3)
▶	16.1b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	31.8b	x
	31.6b	1/3

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite139.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`associate-*r/`
898×	`*-commutative`
884×	`associate-/r*`
748×	`associate-*l/`
540×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	233	36
2	2824	36

Stop Event

1×	node limit

Counts

4 → 361

Calls

Call 1

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

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

simplify158.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-l`
1536×	`associate-r`
1474×	`associate-/r*`
860×	`associate-/l/`
818×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	801	12255
1	2184	11857

Stop Event

1×	node limit

Counts

409 → 552

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite107.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-/r*`
1358×	`associate-/l*`
1068×	`associate-/r/`
976×	`*-commutative`
718×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	212	27
2	3018	27

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

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

Outputs

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

simplify136.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-/r*`
1104×	`associate-*l/`
1056×	`distribute-lft-in`
1052×	`associate-*r/`
950×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	664	11495
1	2286	11239

Stop Event

1×	node limit

Counts

311 → 463

Calls

Call 1

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

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

eval431.0ms (15.1%)

Compiler: Compiled 22436 to 15627 computations (30.3% saved)

prune217.0ms (7.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1014	1	1015
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	1015	5	1020

Error

Counts

1020 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.0b	(+.f64 x 1/3)
▶	31.8b	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
	31.8b	x
	31.6b	1/3

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	193	13
2	2256	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1200×	`associate-/r*`
914×	`associate-/l*`
788×	`*-commutative`
768×	`distribute-lft-in`
666×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	604
1	198	580
2	622	580
3	3133	580

Stop Event

1×	node limit

Counts

30 → 42

Calls

Call 1

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

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

eval181.0ms (6.3%)

Compiler: Compiled 6711 to 5435 computations (19% saved)

prune99.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	361	1	362
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	362	5	367

Error

Counts

367 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.0b	(+.f64 x 1/3)
▶	0.2b	(.f64 -1/9 (-.f64 (.f64 -9 x) 3))
	31.8b	x
	31.6b	1/3

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1844×	`*-un-lft-identity`
1738×	`add-cube-cbrt`
1726×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	196	15
2	2276	15

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1058×	`fma-def`
832×	`associate-r`
826×	`+-commutative`
714×	`associate-l`
660×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	347
1	166	331
2	438	315
3	2605	303
4	5243	303

Stop Event

1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

eval7.0ms (0.2%)

Compiler: Compiled 308 to 247 computations (19.8% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	29	5	34

Error

Counts

34 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.0b	(+.f64 x 1/3)
✓	0.2b	(.f64 -1/9 (-.f64 (.f64 -9 x) 3))
	31.8b	x
	31.6b	1/3

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes10.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 x 1/3)

Calls

2 calls:

5.0ms	x
4.0ms	(+.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 52 to 39 computations (25% saved)

regimes19.0ms (0.7%)

Accuracy

Total -60.3b remaining (-3796.4%)

Threshold costs -60.3b (-3796.4%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch20.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.11665108903487714	102633.46226114484
7.0ms	-0.5132308413067382	-0.19206517917192828

Results

18.0ms

224×

body

256

valid

Compiler

Compiled 94 to 78 computations (17% saved)

simplify4.0ms (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 (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end46.0ms (1.6%)

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

Details

analyze3.0ms (0.1%)

sample828.0ms (28.9%)

preprocess16.0ms (0.6%)

simplify14.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite90.0ms (3.2%)

simplify48.0ms (1.7%)

eval7.0ms (0.3%)

prune8.0ms (0.3%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite139.0ms (4.9%)

simplify158.0ms (5.5%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite107.0ms (3.7%)

simplify136.0ms (4.8%)

eval431.0ms (15.1%)

prune217.0ms (7.6%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite53.0ms (1.9%)

simplify46.0ms (1.6%)

eval181.0ms (6.3%)

prune99.0ms (3.5%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite55.0ms (1.9%)

simplify52.0ms (1.8%)

eval7.0ms (0.2%)

prune4.0ms (0.2%)

regimes10.0ms (0.4%)

regimes19.0ms (0.7%)

bsearch20.0ms (0.7%)

simplify4.0ms (0.2%)

soundness12.0ms (0.4%)

end46.0ms (1.6%)

Profiling