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)

sample664.0ms (30.8%)

Results

648.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

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)

simplify11.0ms (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)

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)

rewrite67.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (2.5%)

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)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶	0.5b	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	0.0b	(+.f64 x 1/3)
	29.7b	x
	33.0b	1/3

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite82.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	188	7
2	2634	7

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

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

Outputs

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

simplify83.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-/r*`
1028×	`fma-def`
1022×	`associate--l-`
984×	`associate-+r+`
952×	`associate--r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1311
1	351	1059
2	1456	1045
3	5702	1045

Stop Event

1×	node limit

Counts

67 → 71

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

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

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1/3 x)
✓	0.0b	(-.f64 1/9 (*.f64 x x))
✓	16.8b	(/.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
0.0ms	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 1/3 x)
0.0ms	x	@	inf	(-.f64 1/9 (*.f64 x x))

rewrite96.0ms (4.5%)

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 1/9 (*.f64 x x))
(-.f64 1/3 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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simplify136.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1604×	`associate-/r*`
1098×	`associate-*l/`
1060×	`distribute-lft-in`
1058×	`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 → 467

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)
1/9
(+.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)))
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))
(+.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))))
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(/.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)))

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)
1/9
(+.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))
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)
(+.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 x (/.f64 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 x (/.f64 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 x (/.f64 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 x (/.f64 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 x (/.f64 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)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 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 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(.f64 (+.f64 -1/9 (.f64 x x)) (/.f64 1 (+.f64 -1/3 x)))
(.f64 (+.f64 -1/9 (.f64 x x)) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (.f64 1 (+.f64 -1/9 (.f64 x x))) (+.f64 x -1/3))
(.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 1/9 (*.f64 x x)) (-.f64 1/3 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 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.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 1/9 (*.f64 x x)) (-.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 1/9 (*.f64 x x)) (-.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 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 x 1/3)))
(+.f64 1/3 x)
(.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 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 x x))) (+.f64 x 1/3))
(+.f64 1/3 x)
(.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 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(.f64 (/.f64 1 (+.f64 -1/3 x)) (+.f64 -1/9 (.f64 x x)))
(.f64 (+.f64 -1/9 (.f64 x x)) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (.f64 1 (+.f64 -1/9 (.f64 x x))) (+.f64 x -1/3))
(.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 1/9 (.f64 x x))) (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (-.f64 1/3 x)))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/3 x)) (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 1/9 (.f64 x x))) (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (-.f64 1/3 x)))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (-.f64 1/3 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))) (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (-.f64 1/3 x)))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (-.f64 1/3 x))))
(.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 1/9 (*.f64 x x)) (-.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 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.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 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 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.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 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (cbrt.f64 (+.f64 1/3 x)) (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) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (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 (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 (/.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 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))))
(.f64 (sqrt.f64 (+.f64 1/3 x)) (/.f64 (-.f64 1/9 (.f64 x x)) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (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 1/3 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 (neg.f64 x) -1/3)) (+.f64 -1/9 (*.f64 x x)))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (+.f64 -1/9 (*.f64 x x))) (-.f64 -1/3 x))
(.f64 (/.f64 (+.f64 -1/9 (.f64 x x)) (+.f64 -1/9 (*.f64 x x))) (+.f64 x 1/3))
(+.f64 1/3 x)
(.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 1/81 (pow.f64 x 4))) (.f64 (+.f64 1/3 x) (+.f64 1/9 (.f64 x x))))
(.f64 (+.f64 1/3 x) (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (-.f64 1/81 (pow.f64 x 4))))
(.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 (-.f64 1/9 (.f64 x x)) (-.f64 1/729 (pow.f64 x 6))) (.f64 (+.f64 1/3 x) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/729 (pow.f64 x 6))) (.f64 (+.f64 1/3 x) (+.f64 1/81 (.f64 x (+.f64 (pow.f64 x 3) (*.f64 x 1/9))))))
(.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 1/9 (*.f64 x x)) (-.f64 1/3 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)) (neg.f64 (-.f64 1/27 (pow.f64 x 3)))) (+.f64 -1/9 (neg.f64 (*.f64 x (+.f64 1/3 x)))))
(.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 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1/3))
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(neg.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 (neg.f64 x) -1/3))))
(/.f64 (+.f64 -1/81 (pow.f64 x 4)) (.f64 (+.f64 1/3 x) (-.f64 -1/9 (.f64 x x))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 (+.f64 x 1/3) (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 (+.f64 (neg.f64 x) -1/3) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (.f64 (+.f64 1/3 x) (-.f64 -1/81 (.f64 x (+.f64 (pow.f64 x 3) (*.f64 x 1/9))))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 (neg.f64 (+.f64 x 1/3)) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 (+.f64 (neg.f64 x) -1/3) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (.f64 (+.f64 1/3 x) (-.f64 -1/81 (.f64 x (+.f64 (pow.f64 x 3) (*.f64 x 1/9))))))
(/.f64 (-.f64 1/9 (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 1/3 x))
(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 x 1/3)))
(.f64 (/.f64 1 (.f64 (+.f64 1/3 x) (+.f64 1/9 (*.f64 x x)))) (-.f64 1/81 (pow.f64 x 4)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (+.f64 1/3 x) (+.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 (+.f64 x 1/3) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/531441 (pow.f64 x 12)) (.f64 (+.f64 1/3 x) (.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))) (+.f64 1/729 (pow.f64 x 6)))))
(/.f64 (/.f64 (/.f64 (-.f64 1/531441 (pow.f64 x 12)) (+.f64 1/3 x)) (+.f64 1/81 (.f64 x (+.f64 (pow.f64 x 3) (.f64 x 1/9))))) (+.f64 1/729 (pow.f64 x 6)))
(/.f64 (-.f64 1/6561 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 x 1/3)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/6561 (pow.f64 x 8)) (.f64 (+.f64 1/9 (.f64 x x)) (*.f64 (+.f64 1/3 x) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (-.f64 1/6561 (pow.f64 x 8)) (.f64 (.f64 (+.f64 1/3 x) (+.f64 1/9 (*.f64 x x))) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (+.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 1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1/3))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 (neg.f64 x) (-.f64 -1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 (neg.f64 x) 3)) (.f64 1 (+.f64 1/9 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 1/3 (neg.f64 x))))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1/3))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 (neg.f64 x) (-.f64 -1/3 x))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (.f64 (+.f64 x 1/3) (+.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 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1/3 x)) (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 -1/9 (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 1/9 (.f64 x (neg.f64 x)))))))
(/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (.f64 (+.f64 x 1/3) (+.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 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 1/3 x) (.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (+.f64 (+.f64 1/531441 (pow.f64 x 12)) (.f64 1/729 (pow.f64 x 6))))))
(/.f64 (/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 1/3 x) (+.f64 1/81 (.f64 x (+.f64 (pow.f64 x 3) (.f64 x 1/9)))))) (+.f64 (+.f64 1/531441 (pow.f64 x 12)) (.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 x 1/3)) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/3 x) (+.f64 1/9 (.f64 x x)))) (+.f64 1/6561 (+.f64 (pow.f64 x 8) (*.f64 1/81 (pow.f64 x 4)))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (.f64 (+.f64 1/3 x) (+.f64 1/9 (.f64 x x))) (+.f64 1/6561 (.f64 (pow.f64 x 4) (+.f64 1/81 (pow.f64 x 4))))))
(/.f64 (-.f64 1/19683 (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 1/729 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (-.f64 1/19683 (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x))) (+.f64 1/729 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 1/19683 (pow.f64 (pow.f64 x 3) 3)) (+.f64 (+.f64 1/729 (pow.f64 x 6)) (.f64 1/27 (pow.f64 x 3)))) (+.f64 1/9 (.f64 x (+.f64 1/3 x))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 1/3 x))
(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/9 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 1/3 x))))
(-.f64 1/3 x)
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 1/3 x))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 1/3 x))
(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (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 1/3 x)
(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (/.f64 1 (-.f64 1/3 x))) (-.f64 1/9 (.f64 x x)))
(-.f64 1/3 x)
(/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (+.f64 -1/9 (.f64 x x))) (/.f64 1 (+.f64 -1/3 x)))
(.f64 (+.f64 x -1/3) (/.f64 (-.f64 1/9 (.f64 x x)) (+.f64 -1/9 (*.f64 x x))))
(/.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 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 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 1/9 (*.f64 x x)) (+.f64 1/3 x))
(/.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 1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(/.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)) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x))))
(.f64 (sqrt.f64 (-.f64 1/3 x)) (/.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))) (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 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 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 1/9 (.f64 x x)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (-.f64 1/3 x))))))
(/.f64 (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/3 x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2)) (/.f64 (cbrt.f64 (+.f64 1/3 x)) (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 (-.f64 1/9 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2)) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)) (cbrt.f64 (+.f64 1/3 x)))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (.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 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 x 1/3)) (+.f64 1/9 (*.f64 x x)))
(.f64 (/.f64 1 (.f64 (+.f64 1/3 x) (+.f64 1/9 (*.f64 x x)))) (-.f64 1/81 (pow.f64 x 4)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (+.f64 1/3 x) (+.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 1/729 (pow.f64 x 6)) (.f64 (+.f64 1/3 x) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (+.f64 1/3 x) (+.f64 1/81 (.f64 x (+.f64 (pow.f64 x 3) (*.f64 x 1/9))))))
(/.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) 1) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(/.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))))) (sqrt.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (.f64 (sqrt.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x)))) (sqrt.f64 (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))))
(/.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3)))) (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))) (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x)))) (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x)))))) (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x)))))
(/.f64 (/.f64 (-.f64 1/27 (pow.f64 x 3)) (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x))))) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x)))) (cbrt.f64 (+.f64 1/9 (.f64 x (+.f64 1/3 x))))))
(pow.f64 (-.f64 1/3 x) 1)
(-.f64 1/3 x)
(pow.f64 (sqrt.f64 (-.f64 1/3 x)) 2)
(-.f64 1/3 x)
(pow.f64 (cbrt.f64 (-.f64 1/3 x)) 3)
(-.f64 1/3 x)
(pow.f64 (pow.f64 (-.f64 1/3 x) 3) 1/3)
(-.f64 1/3 x)
(sqrt.f64 (pow.f64 (-.f64 1/3 x) 2))
(log.f64 (exp.f64 (-.f64 1/3 x)))
(-.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/3 x))))
(-.f64 1/3 x)
(cbrt.f64 (pow.f64 (-.f64 1/3 x) 3))
(-.f64 1/3 x)
(expm1.f64 (log.f64 (-.f64 4/3 x)))
(exp.f64 (log.f64 (-.f64 1/3 x)))
(-.f64 1/3 x)
(log1p.f64 (expm1.f64 (-.f64 1/3 x)))
(-.f64 1/3 x)

eval215.0ms (10%)

Compiler: Compiled 12388 to 8350 computations (32.6% saved)

prune101.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	574	1	575
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	575	5	580

Error

Counts

580 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶	0.5b	(+.f64 (+.f64 x -2/3) 1)
✓	0.0b	(+.f64 x 1/3)
	29.7b	x
	33.0b	1/3

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1540×	`add-cube-cbrt`
1530×	`add-cbrt-cube`
150×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	157	14
2	2006	14

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

800×	`unswap-sqr`
718×	`associate-*r/`
716×	`associate-/l*`
494×	`*-commutative`
452×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1427
1	404	1325
2	1843	1211

Stop Event

1×	node limit

Counts

97 → 93

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

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

eval27.0ms (1.3%)

Compiler: Compiled 1032 to 828 computations (19.8% saved)

prune13.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Error

Counts

98 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.5b	(+.f64 (+.f64 x -2/3) 1)
✓	0.0b	(+.f64 x 1/3)
	29.7b	x
	33.0b	1/3

Compiler

Compiled 24 to 18 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.5b	(+.f64 (+.f64 x -2/3) 1)
✓	0.0b	(+.f64 x 1/3)
	29.7b	x
	33.0b	1/3

Compiler

Compiled 24 to 18 computations (25% saved)

regimes36.0ms (1.7%)

Counts

7 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 (+.f64 x -2/3) 1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

31.0ms	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 40 to 30 computations (25% saved)

regimes9.0ms (0.4%)

Accuracy

Total -60.7b remaining (-5740.1%)

Threshold costs -60.7b (-5740.1%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch294.0ms (13.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
239.0ms	5.07432380685135e-7	7.963156667809301
55.0ms	-408847.52645024384	-0.0003041563868153982

Results

290.0ms

288×

body

256

valid

Compiler

Compiled 118 to 98 computations (16.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness12.0ms (0.6%)

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 (0.9%)

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

Details

analyze3.0ms (0.1%)

sample664.0ms (30.8%)

preprocess4.0ms (0.2%)

simplify11.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite67.0ms (3.1%)

simplify53.0ms (2.5%)

eval7.0ms (0.3%)

prune6.0ms (0.3%)

localize8.0ms (0.4%)

series0.0ms (0%)

rewrite82.0ms (3.8%)

simplify83.0ms (3.8%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite96.0ms (4.5%)

simplify136.0ms (6.3%)

eval215.0ms (10%)

prune101.0ms (4.7%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite58.0ms (2.7%)

simplify123.0ms (5.7%)

eval27.0ms (1.3%)

prune13.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes36.0ms (1.7%)

regimes9.0ms (0.4%)

bsearch294.0ms (13.6%)

simplify5.0ms (0.2%)

soundness12.0ms (0.6%)

end19.0ms (0.9%)

Profiling