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)

sample869.0ms (42.9%)

Results

859.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.8%)

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)

simplify46.0ms (2.3%)

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)

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)

rewrite51.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify61.0ms (3%)

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)

eval8.0ms (0.4%)

Compiler: Compiled 319 to 235 computations (26.3% saved)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Error

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.1b	(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
✓	0.0b	(+.f64 x 1/3)
	29.8b	x
	32.9b	1/3

Compiler

Compiled 24 to 18 computations (25% saved)

localize19.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3)))
✓	0.0b	(+.f64 1/27 (pow.f64 x 3))
✓	0.4b	(*.f64 x 1/3)
✓	21.3b	(/.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 (0.2%)

Counts

4 → 39

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)

rewrite113.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`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	336	68
2	4515	68

Stop Event

1×	node limit

Counts

4 → 200

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

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

simplify201.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

1008×	`+-commutative`
748×	`associate-r`
696×	`times-frac`
650×	`associate-l`
644×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	511	9109
1	1418	8395
2	7807	8395

Stop Event

1×	node limit

Counts

239 → 307

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

eval198.0ms (9.8%)

Compiler: Compiled 8216 to 6237 computations (24.1% saved)

prune73.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	307	4	311

Error

Counts

311 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.8b	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
✓	0.0b	(+.f64 x 1/3)
	29.8b	x
	32.9b	1/3

Compiler

Compiled 20 to 15 computations (25% saved)

localize13.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3)))
✓	0.1b	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
	0.4b	(*.f64 x 1/3)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite71.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`associate-*r/`
1122×	`*-commutative`
1072×	`associate-*l/`
524×	`associate-/r*`
322×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	260	21
2	3465	21

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify62.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1776×	`associate-/r*`
1398×	`associate-+r+`
1326×	`associate-+l+`
1244×	`associate-r`
1056×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1116
1	265	1108
2	943	1108
3	4648	1100

Stop Event

1×	node limit

Counts

38 → 54

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 -9 (pow.f64 x 3)) x))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 1/3 (+.f64 (.f64 -9 (pow.f64 x 3)) x)))
(/.f64 1/27 (pow.f64 x 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(/.f64 1/27 (pow.f64 x 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)
(*.f64 1/27 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(*.f64 1 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2))
(*.f64 (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) 1/27)
(.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(*.f64 -1/27 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)) -1/27)
(pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) 2)
(pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 27) -1)
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2)))
(log.f64 (exp.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(log1p.f64 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 -9 (pow.f64 x 3)) x))
(+.f64 1/3 (fma.f64 -9 (pow.f64 x 3) x))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 1/3 (+.f64 (.f64 -9 (pow.f64 x 3)) x)))
(fma.f64 -27 (pow.f64 x 4) (+.f64 1/3 (fma.f64 -9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 -9 (pow.f64 x 3) x) (fma.f64 -27 (pow.f64 x 4) 1/3))
(+.f64 x (fma.f64 -27 (pow.f64 x 4) (fma.f64 -9 (pow.f64 x 3) 1/3)))
(+.f64 1/3 (fma.f64 -27 (pow.f64 x 4) (fma.f64 -9 (pow.f64 x 3) x)))
(/.f64 1/27 (pow.f64 x 2))
(/.f64 1/27 (*.f64 x x))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (-.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 -1/2187 (pow.f64 x 6)))))
(/.f64 1/27 (pow.f64 x 2))
(/.f64 1/27 (*.f64 x x))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/81 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/729 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (-.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 1/2187 (pow.f64 x 6))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/729 (pow.f64 x 5)) (/.f64 -1/2187 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 1/27 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 1 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) 1/27) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (.f64 1/27 (fma.f64 x (-.f64 1/3 x) 1/9)) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) 1/27)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (.f64 x (+.f64 x -1/3)) 1/9))) (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)))) (/.f64 1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))))
(.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (.f64 1/27 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81)) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))
(*.f64 -1/27 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(.f64 (/.f64 1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) 1/27) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))
(.f64 (-.f64 1/9 (.f64 x (+.f64 x -1/3))) (/.f64 1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (.f64 1/27 (fma.f64 x (-.f64 1/3 x) 1/9)) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x -1/3)) 2)))
(.f64 (/.f64 1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)))) (/.f64 1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x -1/3)) 3))))
(.f64 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81) (/.f64 1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 (.f64 1/27 (fma.f64 x (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) -1/9)) 1/81)) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1/3) 1/9)) -1/27)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))) 2)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (/.f64 1/3 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 3)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3) 1/3)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 27) -1)
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 27) -2))
(log.f64 (exp.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(cbrt.f64 (pow.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9)) 3))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(expm1.f64 (log1p.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(exp.f64 (log.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))
(log1p.f64 (expm1.f64 (/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 1/27 (fma.f64 x (+.f64 x -1/3) 1/9))

eval95.0ms (4.7%)

Compiler: Compiled 4082 to 3096 computations (24.2% saved)

prune27.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	196	4	200

Error

Counts

200 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.8b	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
✓	0.0b	(+.f64 x 1/3)
	29.8b	x
	32.9b	1/3

Compiler

Compiled 20 to 15 computations (25% 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
✓	32.8b	(/.f64 1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
✓	0.0b	(+.f64 x 1/3)
	29.8b	x
	32.9b	1/3

Compiler

Compiled 20 to 15 computations (25% saved)

regimes10.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 x 1/3)

Calls

2 calls:

5.0ms	x
3.0ms	(+.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes12.0ms (0.6%)

Accuracy

Total -60.9b remaining (-6673.2%)

Threshold costs -60.9b (-6673.2%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch28.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.00010358463409137685	2647.8878286779873
15.0ms	-3869.106972612252	-7.4482476022145505e-9

Results

25.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% 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)

soundness11.0ms (0.6%)

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)

end19.0ms (1%)

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

Details

analyze3.0ms (0.1%)

sample869.0ms (42.9%)

preprocess16.0ms (0.8%)

simplify46.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite51.0ms (2.5%)

simplify61.0ms (3%)

eval8.0ms (0.4%)

prune8.0ms (0.4%)

localize19.0ms (1%)

series3.0ms (0.2%)

rewrite113.0ms (5.6%)

simplify201.0ms (9.9%)

eval198.0ms (9.8%)

prune73.0ms (3.6%)

localize13.0ms (0.6%)

series1.0ms (0.1%)

rewrite71.0ms (3.5%)

simplify62.0ms (3.1%)

eval95.0ms (4.7%)

prune27.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.5%)

regimes12.0ms (0.6%)

bsearch28.0ms (1.4%)

simplify4.0ms (0.2%)

soundness11.0ms (0.6%)

end19.0ms (1%)

Profiling