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)

sample833.0ms (21.7%)

Results

821.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4
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)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x -1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

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)

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`pow1_binary64`
468×	`add-sqr-sqrt_binary64`
456×	`*-un-lft-identity_binary64`
446×	`add-log-exp_binary64`
446×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	91	4
2	1151	4

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

635×	`distribute-rgt-in_binary64`
608×	`distribute-lft-in_binary64`
556×	`fma-def_binary64`
387×	`fma-neg_binary64`
298×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	344
1	188	314
2	585	266
3	3144	266

Stop Event

1×	node limit

Counts

42 → 38

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

eval8.0ms (0.2%)

Compiler: Compiled 322 to 237 computations (26.4% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Error

Counts

39 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.8b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
▶	17.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	0.0b	(+.f64 x -1/3)
▶	18.8b	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	29.5b	x
	34.0b	-1/3

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize9.0ms (0.2%)

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))
✓	2.1b	(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)))

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
522×	`expm1-log1p-u_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	112	10
2	1361	10

Stop Event

1×	node limit

Counts

2 → 49

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

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

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

423×	`associate-/l*_binary64`
340×	`fma-def_binary64`
290×	`unswap-sqr_binary64`
290×	`fma-neg_binary64`
283×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	756
1	396	605
2	1265	553
3	5014	553

Stop Event

1×	node limit

Counts

73 → 95

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

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -1/9)
✓	0.0b	(+.f64 x 1/3)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	15.8b	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (/.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)))

rewrite81.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`log-prod_binary64`
327×	`exp-prod_binary64`
291×	`prod-exp_binary64`
274×	`cbrt-unprod_binary64`
244×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	199	20
2	2563	20

Stop Event

1×	node limit

Counts

4 → 205

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

Outputs
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((#(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 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))))) (#(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 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 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 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (-.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)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 1/9) (.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 pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 2) 1/2)))) (#(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 pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(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 (/.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (cbrt.f64 (+.f64 x -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (+.f64 x -1/3) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 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 cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 3) (pow.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -1/9) 3) (/.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (fma.f64 x x -1/9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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 fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/9 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x -1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 (.f64 x x) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) 1/81) (fma.f64 x x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) 1/729) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1/9) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9)))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -1/9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9)))))))))

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Rules

393×	`times-frac_binary64`
347×	`fma-neg_binary64`
321×	`sqr-pow_binary64`
250×	`div-sub_binary64`
221×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	2490
1	1125	2324
2	4805	2309

Stop Event

1×	node limit

Counts

253 → 281

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

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

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/27 (pow.f64 x 3))
✓	0.0b	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	0.3b	(*.f64 x -1/3)
✓	22.8b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series21.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
1.0ms	x	@	-inf	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
1.0ms	x	@	0	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
0.0ms	x	@	-inf	(*.f64 x -1/3)
0.0ms	x	@	inf	(*.f64 x -1/3)

rewrite85.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`prod-diff_binary64`
639×	`fma-def_binary64`
275×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	317	35
2	4213	35

Stop Event

1×	node limit

Counts

4 → 293

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1/27 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/729 (-.f64 -1/27 (pow.f64 x 3))) (/.f64 (pow.f64 x 6) (-.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/27 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) -1/27) 1/729)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (-.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) -1/27) 1/729) (+.f64 -1/19683 (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 1/729 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/19683 (pow.f64 x 9)) (fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) -1/27) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/19683 (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 -1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/19683 (pow.f64 x 9))) (neg.f64 (fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) -1/27) 1/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (-.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) 1/729) (-.f64 (pow.f64 x 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x x) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1 -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) x -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x x)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) x) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x x)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) -1/27)))))

simplify158.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

375×	`fma-neg_binary64`
301×	`log-prod_binary64`
291×	`distribute-rgt-neg-in_binary64`
243×	`distribute-lft-neg-in_binary64`
202×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	574	6060
1	1379	4577
2	4427	3977

Stop Event

1×	node limit

Counts

341 → 348

Calls

Call 1

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

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

eval507.0ms (13.2%)

Compiler: Compiled 13983 to 9936 computations (28.9% saved)

prune147.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	759	3	762
Fresh	0	2	2
Picked	1	0	1
Done	2	1	3
Total	762	6	768

Error

Counts

768 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 1/9 (*.f64 x x))))
▶	33.7b	(/.f64 -1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
▶	0.4b	(-.f64 (+.f64 2/3 x) 1)
✓	0.0b	(+.f64 x -1/3)
	29.5b	x
	34.0b	-1/3

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2/3 x)
✓	0.4b	(-.f64 (+.f64 2/3 x) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 2/3 x)
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 (+.f64 2/3 x) 1)

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`pow1_binary64`
693×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
683×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	138	8
2	1824	8

Stop Event

1×	node limit

Counts

2 → 71

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

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

599×	`distribute-rgt-in_binary64`
533×	`distribute-lft-in_binary64`
342×	`fma-def_binary64`
326×	`log-prod_binary64`
322×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	716
1	383	655
2	1351	650
3	7724	650

Stop Event

1×	node limit

Counts

86 → 92

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

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))
	0.0b	(-.f64 (.f64 x x) (.f64 x -1/3))
	0.3b	(*.f64 x -1/3)
✓	0.3b	(/.f64 -1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`prod-diff_binary64`
557×	`fma-def_binary64`
499×	`log-prod_binary64`
241×	`fma-neg_binary64`
199×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	241	19
2	3204	19

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 1))))))

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(sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (fma.f64 x 1/3 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 x 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 (fma.f64 x -1/3 -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)) (fma.f64 x 1/3 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))) (fma.f64 x 1/3 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1/3) x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1/3) x (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1/9)) (cbrt.f64 (fma.f64 x x 1/9))) (cbrt.f64 (fma.f64 x x 1/9)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x x 1/9)) (sqrt.f64 (fma.f64 x x 1/9)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))))))

simplify89.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary64`
535×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
365×	`unswap-sqr_binary64`
179×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	1979
1	713	1938
2	2320	1885

Stop Event

1×	node limit

Counts

144 → 171

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -9 (pow.f64 x 3)) x) 1/3)
(-.f64 (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 x (.f64 27 (pow.f64 x 4)))) 1/3)
(/.f64 -1/27 (pow.f64 x 2))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1/27 (pow.f64 x 2))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 0 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(*.f64 -1/27 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(*.f64 1 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(*.f64 (pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) -1/27)
(.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(.f64 (/.f64 -1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3) 1/3)
(pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2)
(pow.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) -1)
(pow.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) 1) -1)
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(-.f64 (*.f64 x x) (fma.f64 x -1/3 -1/9))
(-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1)
(-.f64 (/.f64 1/81 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (/.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(*.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 1 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (.f64 (.f64 1/9 x) (+.f64 x 1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (neg.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (neg.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1/9) 3) (.f64 -1/27 (pow.f64 x 3))) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (fma.f64 1/9 (.f64 x x) (.f64 (fma.f64 x x 1/9) (.f64 x -1/3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) 1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 (.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9)) (.f64 1/9 (.f64 x x))) (+.f64 (fma.f64 x x 1/9) (.f64 x -1/3)))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(log.f64 (/.f64 (exp.f64 (fma.f64 x x 1/9)) (+.f64 1 (expm1.f64 (*.f64 x -1/3)))))
(log.f64 (.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (exp.f64 (fma.f64 x 1/3 (.f64 x -1/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (exp.f64 (fma.f64 x 1/3 (.f64 x -1/3)))))
(log.f64 (.f64 (exp.f64 (fma.f64 x x 1/9)) (exp.f64 (.f64 x 1/3))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x x 1/9)) (/.f64 1 (pow.f64 (exp.f64 -1/3) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(fma.f64 x x (fma.f64 x 1/3 1/9))
(fma.f64 x x (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (+.f64 x 1/3) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (*.f64 x x) 1 (fma.f64 x 1/3 1/9))
(fma.f64 (*.f64 x x) 1 (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (*.f64 x (+.f64 x 1/3)) 1 1/9)
(fma.f64 (.f64 x (+.f64 x 1/3)) 1 (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1 (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 1 (*.f64 x x) (fma.f64 x 1/3 1/9))
(fma.f64 1 (*.f64 x x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 1 (.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 1 (fma.f64 x x 1/9) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) 1/9)
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (fma.f64 x 1/3 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 1/3 1/9))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 x 1/3 1/9))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (-.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) 1/9)
(fma.f64 (-.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) 1/9)
(fma.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (/.f64 1 (.f64 x (+.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 (+.f64 x 1/3) x (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x 1/3 1/9))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x x 1/9)) (cbrt.f64 (fma.f64 x x 1/9))) (cbrt.f64 (fma.f64 x x 1/9)) (.f64 x 1/3))
(fma.f64 (sqrt.f64 (fma.f64 x x 1/9)) (sqrt.f64 (fma.f64 x x 1/9)) (*.f64 x 1/3))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x -1/3))) (-.f64 x (sqrt.f64 (.f64 x -1/3))) 1/9)
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x -1/3))) (-.f64 x (sqrt.f64 (.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/3 1/9))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (*.f64 -9 (pow.f64 x 3)) x) 1/3)
(+.f64 (fma.f64 -9 (pow.f64 x 3) x) -1/3)
(+.f64 -1/3 (fma.f64 -9 (pow.f64 x 3) x))
(-.f64 (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 x (.f64 27 (pow.f64 x 4)))) 1/3)
(+.f64 (+.f64 (fma.f64 -9 (pow.f64 x 3) x) (*.f64 27 (pow.f64 x 4))) -1/3)
(fma.f64 -9 (pow.f64 x 3) (+.f64 (fma.f64 27 (pow.f64 x 4) x) -1/3))
(+.f64 (fma.f64 -9 (pow.f64 x 3) x) (fma.f64 27 (pow.f64 x 4) -1/3))
(/.f64 -1/27 (pow.f64 x 2))
(/.f64 -1/27 (*.f64 x x))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/2187 (pow.f64 x 6)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/2187 (pow.f64 x 6)) (-.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
(/.f64 -1/27 (pow.f64 x 2))
(/.f64 -1/27 (*.f64 x x))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/2187 (pow.f64 x 6)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/2187 (pow.f64 x 6)) (-.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 0 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 -1/27 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 1 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) -1/27)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 -1/27 (/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(.f64 -1/27 (/.f64 (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))))
(.f64 (/.f64 -1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(/.f64 -1/27 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9)))
(pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3) 1/3)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (/.f64 -1/3 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) -1)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) 1) -1)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(-.f64 (*.f64 x x) (fma.f64 x -1/3 -1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1)
(fma.f64 x (+.f64 x 1/3) 1/9)
(-.f64 (/.f64 1/81 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (/.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(fma.f64 x (+.f64 x 1/3) 1/9)
(*.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2))
(fma.f64 x (+.f64 x 1/3) 1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 1 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (.f64 (.f64 1/9 x) (+.f64 x 1/3)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (neg.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (neg.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1/9) 3) (.f64 -1/27 (pow.f64 x 3))) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (fma.f64 1/9 (.f64 x x) (.f64 (fma.f64 x x 1/9) (.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1/9) 3) (.f64 1/27 (pow.f64 x 3))) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (fma.f64 1/9 (.f64 x x) (.f64 (fma.f64 x x 1/9) (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1/9) 3) (.f64 (pow.f64 x 3) 1/27)) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (fma.f64 1/9 (.f64 x x) (.f64 x (.f64 -1/3 (fma.f64 x x 1/9))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 (fma.f64 x x 1/9) 3)) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (.f64 x (+.f64 (.f64 (fma.f64 x x 1/9) -1/3) (*.f64 x 1/9)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) 1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 (.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9)) (.f64 1/9 (.f64 x x))) (+.f64 (fma.f64 x x 1/9) (.f64 x -1/3)))
(/.f64 (+.f64 (.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9)) (.f64 -1/9 (.f64 x x))) (+.f64 (fma.f64 x x 1/9) (.f64 -1/3 x)))
(/.f64 (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (.f64 -1/9 (.f64 x x))) (fma.f64 -1/3 x (fma.f64 x x 1/9)))
(/.f64 (fma.f64 -1/9 (.f64 x x) (.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9))) (fma.f64 x (+.f64 -1/3 x) 1/9))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) -1)
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(pow.f64 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) -1)
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (/.f64 (exp.f64 (fma.f64 x x 1/9)) (+.f64 1 (expm1.f64 (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (exp.f64 (fma.f64 x 1/3 (.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (exp.f64 (fma.f64 x 1/3 (.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (.f64 (exp.f64 (fma.f64 x x 1/9)) (exp.f64 (.f64 x 1/3))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (*.f64 (exp.f64 (fma.f64 x x 1/9)) (/.f64 1 (pow.f64 (exp.f64 -1/3) x))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x x (fma.f64 x 1/3 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x x (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (+.f64 x 1/3) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x x) 1 (fma.f64 x 1/3 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x x) 1 (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x (+.f64 x 1/3)) 1 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (.f64 x (+.f64 x 1/3)) 1 (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1 (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x x) (fma.f64 x 1/3 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (fma.f64 x x 1/9) (*.f64 x 1/3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (fma.f64 x 1/3 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 1/3 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 1/9))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 1/9))
(fma.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 x 1/3 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (-.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) 1/9)
(fma.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))) 1/9)
(fma.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))) 1/9)
(+.f64 1/9 (/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (.f64 -1/3 (.f64 x (+.f64 -1/3 x))) (pow.f64 x 4))))
(fma.f64 (-.f64 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 (+.f64 (pow.f64 x 6) (.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))) 1/9)
(fma.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))) 1/9)
(+.f64 1/9 (/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (.f64 -1/3 (.f64 x (+.f64 -1/3 x))) (pow.f64 x 4))))
(fma.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(fma.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) 1/9)
(fma.f64 (+.f64 (pow.f64 x 4) (.f64 -1/9 (.f64 x x))) (/.f64 1 (*.f64 x (+.f64 -1/3 x))) 1/9)
(fma.f64 (.f64 (.f64 x x) (-.f64 (*.f64 x x) 1/9)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)) 1/9)
(+.f64 1/9 (/.f64 (.f64 (.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x))))
(fma.f64 (-.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))) (/.f64 1 (.f64 x (+.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (.f64 x -1/3)) 1/9))
(fma.f64 (+.f64 (pow.f64 x 4) (.f64 -1/9 (.f64 x x))) (/.f64 1 (*.f64 x (+.f64 -1/3 x))) 1/9)
(fma.f64 (.f64 (.f64 x x) (-.f64 (*.f64 x x) 1/9)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)) 1/9)
(+.f64 1/9 (/.f64 (.f64 (.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x))))
(fma.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x 1/3 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x x 1/9)) (cbrt.f64 (fma.f64 x x 1/9))) (cbrt.f64 (fma.f64 x x 1/9)) (.f64 x 1/3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 (fma.f64 x x 1/9)) (sqrt.f64 (fma.f64 x x 1/9)) (*.f64 x 1/3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x -1/3))) (-.f64 x (sqrt.f64 (.f64 x -1/3))) 1/9)
(fma.f64 (+.f64 x (sqrt.f64 (.f64 -1/3 x))) (-.f64 x (sqrt.f64 (.f64 -1/3 x))) 1/9)
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x -1/3))) (-.f64 x (sqrt.f64 (.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 -1/3 x))) (-.f64 x (sqrt.f64 (.f64 -1/3 x))) 1/9)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/3 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1/3 x)
✓	0.0b	(-.f64 1/9 (*.f64 x x))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 1/9 (*.f64 x x))))
✓	15.8b	(/.f64 (-.f64 -1/3 x) (-.f64 1/9 (*.f64 x x)))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite117.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
294×	`pow-prod-down_binary64`
283×	`pow2_binary64`
251×	`prod-diff_binary64`
194×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	235	22
2	3247	22

Stop Event

1×	node limit

Counts

4 → 303

Calls

Call 1

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

Outputs
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(cbrt.f64 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1/3 x) 1/9)))))) (#(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 1 (/.f64 (fma.f64 x (+.f64 -1/3 x) 1/9) (-.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1/3 x) (-.f64 1/9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (/.f64 (+.f64 -1/3 x) (cbrt.f64 (-.f64 1/9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (+.f64 -1/3 x) (sqrt.f64 (-.f64 1/9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (.f64 x x))) (neg.f64 (+.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (+.f64 -1/3 x) (fma.f64 (.f64 x x) (fma.f64 x x 1/9) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 -1/3 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (+.f64 -1/3 x) (fma.f64 x x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 -1/3 x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 (neg.f64 x) 3)) (+.f64 1/9 (-.f64 (pow.f64 (neg.f64 x) 2) (.f64 -1/3 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (pow.f64 (neg.f64 x) 2)) (-.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1/3 x) 2) 1/2)))) (#(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 pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 3)))) (#(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 (/.f64 (fma.f64 x (+.f64 -1/3 x) 1/9) (-.f64 -1/27 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1/3 x) (-.f64 1/9 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 3) (pow.f64 (+.f64 -1/3 x) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (cbrt.f64 (+.f64 -1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (pow.f64 (+.f64 -1/3 x) -1/2)) 2)))) (#(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 log1p.f64 (expm1.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 exp.f64 (.f64 (log.f64 (-.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 -1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.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 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) -1/3)))))

simplify183.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-neg_binary64`
426×	`times-frac_binary64`
262×	`associate-/r*_binary64`
259×	`associate-r_binary64`
237×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	728	7946
1	1770	5998
2	7033	5824

Stop Event

1×	node limit

Counts

351 → 446

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

eval404.0ms (10.5%)

Compiler: Compiled 21317 to 14394 computations (32.5% saved)

prune186.0ms (4.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	963	2	965
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	964	7	971

Error

Counts

971 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.1b	(/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 1/9 (*.f64 x x))))
▶	33.7b	(/.f64 -1/27 (+.f64 1/9 (*.f64 (+.f64 x 1/3) x)))
✓	0.4b	(-.f64 (+.f64 2/3 x) 1)
▶	34.4b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	29.5b	x
	34.0b	-1/3

Compiler

Compiled 40 to 32 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 2/3 1)

Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`prod-diff_binary64`
414×	`log1p-udef_binary64`
256×	`add-sqr-sqrt_binary64`
251×	`pow1_binary64`
244×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	76	1
2	656	1
3	6149	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 2/3 1)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 1/3)
✓	0.0b	(+.f64 1/9 (*.f64 (+.f64 x 1/3) x))
✓	0.1b	(*.f64 (+.f64 x 1/3) x)
✓	0.3b	(/.f64 -1/27 (+.f64 1/9 (*.f64 (+.f64 x 1/3) x)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`unpow-prod-down_binary64`
420×	`log-prod_binary64`
324×	`exp-prod_binary64`
256×	`pow2_binary64`
240×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	206	26
2	2634	26

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (-.f64 1/81 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(log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 1/3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1/3) x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 1/3)) 1 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/3)) x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 (sqrt.f64 (+.f64 x 1/3)) x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1/3) (sqrt.f64 x)) (sqrt.f64 x) 1/9)))))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-/r*_binary64`
492×	`times-frac_binary64`
330×	`associate-/l*_binary64`
294×	`log-prod_binary64`
284×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	2595
1	978	2515
2	3117	2476

Stop Event

1×	node limit

Counts

193 → 223

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -9 (pow.f64 x 3)) x) 1/3)
(-.f64 (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 x (.f64 27 (pow.f64 x 4)))) 1/3)
(/.f64 -1/27 (pow.f64 x 2))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1/27 (pow.f64 x 2))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1/3 x)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 0 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(*.f64 -1/27 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(*.f64 1 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 1/27 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(*.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) -1/27)
(.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(.f64 (/.f64 -1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (pow.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) 1) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(.f64 (pow.f64 (/.f64 -1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) 1) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)) -1/27) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))
(*.f64 (pow.f64 (cbrt.f64 -1/27) 3) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 2) 3) (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 3))
(*.f64 (pow.f64 (sqrt.f64 -1/27) 2) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27)) 2) -1) (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(pow.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2)
(pow.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))) (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x 1/3) 1/9) -27)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 1) 1))
(+.f64 (.f64 x x) (.f64 x 1/3))
(+.f64 (.f64 x 1/3) (.f64 x x))
(+.f64 0 (*.f64 x (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3)))) 1)
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3)))
(/.f64 (*.f64 (fma.f64 x x -1/9) x) (+.f64 x -1/3))
(/.f64 (.f64 x (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3)))
(/.f64 (*.f64 x (fma.f64 x x -1/9)) (+.f64 x -1/3))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 x 1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x 1/3)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 x 1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x 1/3))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x 1/3)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 1/3))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3)))) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 3) 1/3))
(fma.f64 x x (*.f64 x 1/3))
(fma.f64 x 1/3 (*.f64 x x))
(fma.f64 1/3 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 1/3))
(fma.f64 1 (.f64 x 1/3) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3) (.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/3) (.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) (*.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1)
(-.f64 (/.f64 1/81 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (/.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(*.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)) 1))
(.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (pow.f64 (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) 3) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(/.f64 1 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (.f64 (.f64 1/9 x) (+.f64 x 1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (neg.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (neg.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) 1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(pow.f64 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1) 1))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 (*.f64 x (+.f64 x 1/3)) 1 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/3)) x) 1/9)
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 (sqrt.f64 (+.f64 x 1/3)) x) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)) 1/9)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)) 1/9)
(fma.f64 (*.f64 (+.f64 x 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 (+.f64 x 1/3) (sqrt.f64 x)) (sqrt.f64 x) 1/9)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (*.f64 -9 (pow.f64 x 3)) x) 1/3)
(+.f64 (fma.f64 -9 (pow.f64 x 3) x) -1/3)
(+.f64 -1/3 (fma.f64 -9 (pow.f64 x 3) x))
(-.f64 (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 x (.f64 27 (pow.f64 x 4)))) 1/3)
(+.f64 (+.f64 (fma.f64 -9 (pow.f64 x 3) x) (*.f64 27 (pow.f64 x 4))) -1/3)
(+.f64 -1/3 (fma.f64 -9 (pow.f64 x 3) (fma.f64 27 (pow.f64 x 4) x)))
(+.f64 (fma.f64 -9 (pow.f64 x 3) x) (fma.f64 27 (pow.f64 x 4) -1/3))
(/.f64 -1/27 (pow.f64 x 2))
(/.f64 -1/27 (*.f64 x x))
(/.f64 (/.f64 -1/27 x) x)
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x)))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 (/.f64 -1/27 x) x))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/27 x) x) (/.f64 -1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/2187 (pow.f64 x 6)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
(+.f64 (/.f64 1/2187 (pow.f64 x 6)) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/2187 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -1/27 x) x) (/.f64 -1/729 (pow.f64 x 5)))))
(/.f64 -1/27 (pow.f64 x 2))
(/.f64 -1/27 (*.f64 x x))
(/.f64 (/.f64 -1/27 x) x)
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x)))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 (/.f64 -1/27 x) x))
(-.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/27 x) x) (/.f64 -1/729 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/2187 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/729 (/.f64 1 (pow.f64 x 5))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/2187 (pow.f64 x 6)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
(+.f64 (/.f64 1/2187 (pow.f64 x 6)) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/729 (pow.f64 x 5)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/2187 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -1/27 x) x) (/.f64 -1/729 (pow.f64 x 5)))))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 x 1/3))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 0 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 -1/27 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 1 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 1/27 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) -1/27)
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (.f64 -1/27 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)))
(.f64 (/.f64 -1/27 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(/.f64 -1/27 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9)))
(*.f64 (pow.f64 1 1/3) (/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 -1/27 (fma.f64 x (+.f64 x 1/3) 1/9))
(.f64 (pow.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) 1) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(.f64 (/.f64 -1/27 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
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(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))
(fma.f64 x (+.f64 x 1/3) 1/9)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2) 3) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(/.f64 1 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 1 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (.f64 (.f64 1/9 x) (+.f64 x 1/3)))))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) (neg.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) (neg.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) 1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2) 1/2)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (/.f64 (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3))) -1)
(.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(pow.f64 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))) -1)
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)) 1/3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1) 1))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x (+.f64 x 1/3)) 1 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/3)) x) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 (sqrt.f64 (+.f64 x 1/3)) x) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 (+.f64 x 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (*.f64 (+.f64 x 1/3) (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)

eval102.0ms (2.6%)

Compiler: Compiled 4376 to 3467 computations (20.8% saved)

prune40.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	281	7	288

Error

Counts

288 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.1b	(/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 1/9 (*.f64 x x))))
✓	33.7b	(/.f64 -1/27 (+.f64 1/9 (*.f64 (+.f64 x 1/3) x)))
✓	0.4b	(-.f64 (+.f64 2/3 x) 1)
✓	34.4b	(-.f64 2/3 1)
✓	0.0b	(+.f64 x -1/3)
	29.5b	x
	34.0b	-1/3

Compiler

Compiled 40 to 32 computations (20% saved)

regimes14.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 2/3 x) 1)
(/.f64 -1/27 (+.f64 1/9 (*.f64 (+.f64 x 1/3) x)))
(/.f64 -1/27 (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 1/9 (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 88 to 64 computations (27.3% saved)

regimes11.0ms (0.3%)

Accuracy

Total -60.2b remaining (-3634.5%)

Threshold costs -60.2b (-3634.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch29.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.014957761657199746	10.356080896487997
15.0ms	-28276.30915487698	-1.242934543812367e-17

Results

25.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4

Stop Event

1×

saturated

Compiler

Compiled 22 to 18 computations (18.2% saved)

end22.0ms (0.6%)

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

Details

analyze3.0ms (0.1%)

sample833.0ms (21.7%)

preprocess15.0ms (0.4%)

simplify6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series1.0ms (0%)

rewrite68.0ms (1.8%)

simplify41.0ms (1.1%)

eval8.0ms (0.2%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

series2.0ms (0.1%)

rewrite45.0ms (1.2%)

simplify48.0ms (1.3%)

localize13.0ms (0.3%)

series5.0ms (0.1%)

rewrite81.0ms (2.1%)

simplify78.0ms (2%)

localize18.0ms (0.5%)

series21.0ms (0.6%)

rewrite85.0ms (2.2%)

simplify158.0ms (4.1%)

eval507.0ms (13.2%)

prune147.0ms (3.8%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite46.0ms (1.2%)

simplify62.0ms (1.6%)

localize15.0ms (0.4%)

series2.0ms (0.1%)

rewrite58.0ms (1.5%)

simplify89.0ms (2.3%)

localize12.0ms (0.3%)

series4.0ms (0.1%)

rewrite117.0ms (3.1%)

simplify183.0ms (4.8%)

eval404.0ms (10.5%)

prune186.0ms (4.8%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite65.0ms (1.7%)

simplify6.0ms (0.2%)

localize11.0ms (0.3%)

series3.0ms (0.1%)

rewrite64.0ms (1.7%)

simplify71.0ms (1.9%)

eval102.0ms (2.6%)

prune40.0ms (1%)

regimes14.0ms (0.4%)

regimes11.0ms (0.3%)

bsearch29.0ms (0.7%)

simplify3.0ms (0.1%)

soundness7.0ms (0.2%)

end22.0ms (0.6%)

Profiling