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)

sample841.0ms (21.8%)

Results

810.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (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)

localize3.0ms (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)

series1.0ms (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)

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

Outputs

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

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1204×	`distribute-lft-in`
1098×	`distribute-rgt-in`
1038×	`associate-/l*`
906×	`associate-r`
782×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	192	586
2	703	490
3	3235	490

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

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

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

eval7.0ms (0.2%)

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

prune6.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Error

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	14.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	0.0b	(+.f64 x -1/3)
▶	14.1b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
▶	15.9b	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	36.6b	x
	26.6b	-1/3

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x -1/3)
✓	0.0b	(log1p.f64 (+.f64 x -1/3))
✓	1.6b	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	0	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

rewrite56.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1460×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1360×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	167	18
2	1814	18

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (+.f64 x -1/3))

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

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 2/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2/3 x) 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 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (*.f64 (+.f64 2/3 x) 1))))))) (#(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 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 (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)))))

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

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-/r*`
796×	`associate-*r/`
758×	`*-commutative`
694×	`fma-def`
660×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1515
1	409	1219
2	1481	1115
3	5113	1115

Stop Event

1×	node limit

Counts

75 → 108

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(-.f64 (+.f64 2/3 x) 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 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (.f64 (+.f64 2/3 x) 1))))
(/.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))
(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 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 2/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2/3 x))) 1))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2/3))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (.f64 x 3/2)))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (.f64 -9/8 (.f64 x x))))
(fma.f64 x 3/2 (fma.f64 x (*.f64 x -9/8) (log.f64 2/3)))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (fma.f64 3/2 x (.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (fma.f64 9/8 (pow.f64 x 3) (.f64 x 3/2))))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (.f64 (.f64 x x) (+.f64 -9/8 (*.f64 x 9/8)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x))
(+.f64 (log.f64 x) (/.f64 2/3 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 2/9 (*.f64 x x)))
(+.f64 (/.f64 2/3 x) (-.f64 (log.f64 x) (/.f64 2/9 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2/3 x)) (/.f64 -2/9 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 8/81 (pow.f64 x 3)) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 2/3 x))
(-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 2/3 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 2/3 x)) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2/9 (*.f64 x x)))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x))) (/.f64 2/9 (*.f64 x x))))
(+.f64 (/.f64 2/3 x) (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 2/9 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 8/81 (pow.f64 x 3)) (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x)))) (/.f64 2/9 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 8/81 (pow.f64 x 3)) (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1) (/.f64 -2/9 (*.f64 x x))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(-.f64 (+.f64 2/3 x) 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 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (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 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (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 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (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 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (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 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(+.f64 -1/3 x)
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (.f64 (+.f64 2/3 x) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) (+.f64 1 (+.f64 x 2/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.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 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (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)
(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 (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)
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(log.f64 (+.f64 2/3 x))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2/3 x))) 1))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x 1/3)
✓	0.0b	(fma.f64 x x -1/9)
✓	0.0b	(/.f64 1 (+.f64 x 1/3))
✓	13.1b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite107.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 361

Calls

Call 1

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

Outputs
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((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 (log.f64 (+.f64 4/3 x)))))) (#(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)))))

simplify117.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-l`
1488×	`associate-r`
1390×	`associate-/r*`
808×	`associate-/l/`
802×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	798	12211
1	2165	11909

Stop Event

1×	node limit

Counts

409 → 551

Calls

Call 1

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

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
3
(+.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x 3)
(+.f64 (.f64 -9 x) (+.f64 3 (.f64 27 (pow.f64 x 2))))
(+.f64 (fma.f64 -9 x 3) (.f64 27 (.f64 x x)))
(+.f64 (fma.f64 -9 x 3) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2)))))
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (.f64 27 (.f64 x x)))))
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (.f64 x (.f64 x 27)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x)))) (/.f64 1/27 (pow.f64 x 4)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x)))) (/.f64 1/27 (pow.f64 x 4)))
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (+.f64 x 1/3)) x))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (-.f64 -1/3 x)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (+.f64 x 1/3)) x))
(+.f64 -1/3 x)
(+.f64 (.f64 1 (/.f64 (.f64 x x) (+.f64 x 1/3))) (*.f64 1 (/.f64 1/9 (-.f64 -1/3 x))))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (+.f64 x 1/3)) x))
(+.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) x) (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) -1/3))
(+.f64 -1/3 x)
(+.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (/.f64 (.f64 x x) (+.f64 x 1/3))) (*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (/.f64 1/9 (-.f64 -1/3 x))))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (+.f64 x 1/3)) x))
(+.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (.f64 x -1/3))))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (+.f64 (.f64 x x) (+.f64 1/9 (*.f64 -1/3 x))))
(.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 1/9 (.f64 x (+.f64 -1/3 x))) (+.f64 (pow.f64 x 3) 1/27)))
(+.f64 (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (.f64 x -1/3))) (.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (.f64 x x)))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (+.f64 (.f64 x x) (+.f64 1/9 (*.f64 -1/3 x))))
(.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 1/9 (.f64 x (+.f64 -1/3 x))) (+.f64 (pow.f64 x 3) 1/27)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) 1) (*.f64 (/.f64 1/9 (-.f64 -1/3 x)) 1))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (+.f64 x 1/3)) x))
(+.f64 (.f64 x (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (.f64 -1/3 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 -1/3 x)
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))) (*.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9))))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (+.f64 x 1/3)) x))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3)))) (.f64 (+.f64 1/9 (.f64 x -1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3)))))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (+.f64 (.f64 x x) (+.f64 1/9 (*.f64 -1/3 x))))
(.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 1/9 (.f64 x (+.f64 -1/3 x))) (+.f64 (pow.f64 x 3) 1/27)))
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(+.f64 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 1/3)
	0.0b	(fma.f64 x x -1/9)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	13.0b	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`associate-/r*`
1452×	`associate-*l/`
980×	`*-commutative`
832×	`associate-/l*`
658×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	238	20
2	3024	20

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

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

Outputs

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

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1398×	`unswap-sqr`
1172×	`associate-/l/`
478×	`*-commutative`
438×	`+-commutative`
416×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	4900
1	1251	4192
2	4253	4152

Stop Event

1×	node limit

Counts

186 → 234

Calls

Call 1

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

localize8.0ms (0.2%)

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))
✓	13.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite90.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-/r*`
1356×	`associate-/l*`
1068×	`associate-/r/`
972×	`*-commutative`
718×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	214	27
2	3038	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 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.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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(pow.f64 x 3))) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (-.f64 -1/3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))))) (#(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 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))))) (#(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 (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)))))) (#(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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/9 (*.f64 x x)) (/.f64 1 (+.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1/3 x)))))))

simplify130.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-/r*`
1098×	`associate-*l/`
1094×	`distribute-lft-in`
1052×	`associate-*r/`
986×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	663	11699
1	2271	11103

Stop Event

1×	node limit

Counts

311 → 464

Calls

Call 1

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

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

eval958.0ms (24.9%)

Compiler: Compiled 33974 to 24257 computations (28.6% saved)

prune694.0ms (18%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1659	2	1661
Fresh	0	2	2
Picked	0	1	1
Done	3	1	4
Total	1662	6	1668

Error

Counts

1668 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	26.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
▶	0.6b	(-.f64 (+.f64 2/3 x) 1)
✓	0.0b	(+.f64 x -1/3)
	36.6b	x
	26.6b	-1/3

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2/3 x)
✓	0.6b	(-.f64 (+.f64 2/3 x) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite63.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`add-sqr-sqrt`
1666×	`*-un-lft-identity`
1576×	`add-cube-cbrt`
1566×	`add-cbrt-cube`
152×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	158	14
2	2054	14

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-+l-`
1202×	`distribute-lft-in`
1070×	`distribute-rgt-in`
812×	`fma-def`
732×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1382
1	409	1254
2	1692	1250
3	7714	1250

Stop Event

1×	node limit

Counts

90 → 94

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`add-sqr-sqrt`
1800×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1680×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	194	15
2	2263	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1666×	`distribute-lft-in`
1618×	`distribute-rgt-in`
1416×	`associate-/r*`
1246×	`associate-r`
1034×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	863
1	272	847
2	855	841
3	3882	841

Stop Event

1×	node limit

Counts

37 → 64

Calls

Call 1

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

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) x) -1/3)
(+.f64 x (fma.f64 x (*.f64 x -3) -1/3))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(+.f64 (fma.f64 x (*.f64 x -3) x) (fma.f64 9 (pow.f64 x 3) -1/3))
(+.f64 (fma.f64 9 (pow.f64 x 3) x) (fma.f64 x (*.f64 x -3) -1/3))
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/9 x))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 -1/9 x))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x)) (/.f64 -1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/9 x)))
(+.f64 (/.f64 1/27 (*.f64 x x)) (-.f64 (/.f64 1/243 (pow.f64 x 4)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/243 (pow.f64 x 4)) (/.f64 -1/81 (pow.f64 x 3))) (/.f64 -1/9 x)))
(+.f64 (/.f64 (/.f64 1/27 x) x) (+.f64 (/.f64 -1/9 x) (-.f64 (/.f64 1/243 (pow.f64 x 4)) (/.f64 1/81 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/9 x))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 -1/9 x))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x)) (/.f64 -1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/9 x)))
(+.f64 (/.f64 1/27 (*.f64 x x)) (-.f64 (/.f64 1/243 (pow.f64 x 4)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/243 (pow.f64 x 4)) (/.f64 -1/81 (pow.f64 x 3))) (/.f64 -1/9 x)))
(+.f64 (/.f64 (/.f64 1/27 x) x) (+.f64 (/.f64 -1/9 x) (-.f64 (/.f64 1/243 (pow.f64 x 4)) (/.f64 1/81 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -9 x -3)))) 1)
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 1 (/.f64 1 (fma.f64 -9 x -3)))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 (/.f64 1 (fma.f64 -9 x -3)) 1)
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 (pow.f64 (fma.f64 -9 x -3) -1/2) (pow.f64 (fma.f64 -9 x -3) -1/2))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -9 x -3))) (cbrt.f64 (pow.f64 (fma.f64 -9 x -3) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 -3))) (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -9 x -3) -2)) (cbrt.f64 (/.f64 1 (fma.f64 -9 x -3))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -9 x -3))) (cbrt.f64 (pow.f64 (fma.f64 -9 x -3) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 -3))) (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -9 x -3))))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(.f64 (/.f64 1 (+.f64 (.f64 (*.f64 x x) 81) -9)) (fma.f64 -9 x 3))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 81 -9)) (fma.f64 -9 x 3))
(/.f64 (fma.f64 -9 x 3) (fma.f64 (*.f64 x x) 81 -9))
(/.f64 (fma.f64 x -9 3) (fma.f64 x (*.f64 x 81) -9))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -729) -27)) (+.f64 (.f64 (.f64 x x) 81) (+.f64 9 (*.f64 x -27))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -729 -27)) (fma.f64 (.f64 x x) 81 (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 (*.f64 x x) 81 (fma.f64 x -27 9)) (fma.f64 (pow.f64 x 3) -729 -27))
(/.f64 (fma.f64 x (*.f64 x 81) (fma.f64 x -27 9)) (fma.f64 (pow.f64 x 3) -729 -27))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) -1) (pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) -1))
(pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) -2)
(pow.f64 (sqrt.f64 (fma.f64 x -9 -3)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -9 x -3))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -9 -3)) 2)) (cbrt.f64 (fma.f64 x -9 -3)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 -3)) 2) (cbrt.f64 (fma.f64 x -9 -3))))
(pow.f64 (fma.f64 -9 x -3) -1)
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (/.f64 1 (fma.f64 -9 x -3)) 1)
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (pow.f64 (fma.f64 -9 x -3) -1/2) 2)
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -9 x -3))) 3)
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -9 x -3)) 3) 1/3)
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(sqrt.f64 (pow.f64 (fma.f64 -9 x -3) -2))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -9 x -3))))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -9 x -3)))))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -9 x -3)) 3))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -9 x -3))))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -9 x -3))))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 -9 x -3)) -1))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -9 x -3))) 1))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -9 x -3))))
(/.f64 1 (fma.f64 -9 x -3))
(/.f64 1 (fma.f64 x -9 -3))

eval39.0ms (1%)

Compiler: Compiled 1732 to 1382 computations (20.2% saved)

prune21.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	26.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
✓	0.6b	(-.f64 (+.f64 2/3 x) 1)
✓	0.0b	(+.f64 x -1/3)
	36.6b	x
	26.6b	-1/3

Compiler

Compiled 32 to 25 computations (21.9% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	26.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
✓	0.6b	(-.f64 (+.f64 2/3 x) 1)
✓	0.0b	(+.f64 x -1/3)
	36.6b	x
	26.6b	-1/3

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes12.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 2/3 x) 1)
(/.f64 1 (-.f64 (*.f64 -9 x) 3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes33.0ms (0.9%)

Accuracy

Total -60.3b remaining (-4136%)

Threshold costs -60.3b (-4136%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch21.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	0.2314652839762633	12.02964411502196
11.0ms	-3.530584252782817	-7.920622979434993e-5

Results

18.0ms

240×

body

256

valid

Compiler

Compiled 100 to 83 computations (17% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x -1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3

Outputs
(+.f64 x -1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end21.0ms (0.5%)

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

Details

analyze3.0ms (0.1%)

sample841.0ms (21.8%)

preprocess4.0ms (0.1%)

simplify13.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite47.0ms (1.2%)

simplify48.0ms (1.3%)

eval7.0ms (0.2%)

prune6.0ms (0.2%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

rewrite56.0ms (1.5%)

simplify62.0ms (1.6%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

rewrite107.0ms (2.8%)

simplify117.0ms (3%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite76.0ms (2%)

simplify80.0ms (2.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite90.0ms (2.3%)

simplify130.0ms (3.4%)

eval958.0ms (24.9%)

prune694.0ms (18%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite63.0ms (1.6%)

simplify72.0ms (1.9%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite53.0ms (1.4%)

simplify52.0ms (1.4%)

eval39.0ms (1%)

prune21.0ms (0.5%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes12.0ms (0.3%)

regimes33.0ms (0.9%)

bsearch21.0ms (0.5%)

simplify4.0ms (0.1%)

soundness39.0ms (1%)

end21.0ms (0.5%)

Profiling