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)

sample724.0ms (23.1%)

Results

714.0ms

8256×

body

256

valid

Bogosity

preprocess20.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	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×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	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)

rewrite52.0ms (1.6%)

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	1150	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)))))

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

635×	`distribute-rgt-in_binary64`
608×	`distribute-lft-in_binary64`
605×	`fma-def_binary64`
426×	`associate-/l*_binary64`
321×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	344
1	187	314
2	576	266
3	3122	266

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

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

eval7.0ms (0.2%)

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

prune34.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Error

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
▶	18.1b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶	0.5b	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	0.0b	(+.f64 x 1/3)
▶	18.1b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	30.6b	x
	33.2b	1/3

Compiler

Compiled 44 to 34 computations (22.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -1/9)
✓	0.0b	(/.f64 1 (+.f64 x -1/3))
✓	0.0b	(+.f64 x -1/3)
✓	16.8b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series5.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`pow1_binary64`
848×	`add-log-exp_binary64`
848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	194	20
2	2374	20

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-def_binary64`
340×	`associate-/l/_binary64`
317×	`fma-neg_binary64`
314×	`times-frac_binary64`
251×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	1484
1	624	1291
2	3169	1234

Stop Event

1×	node limit

Counts

163 → 168

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite51.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
831×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
820×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	168	8
2	2419	8

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

582×	`times-frac_binary64`
367×	`cancel-sign-sub-inv_binary64`
336×	`unswap-sqr_binary64`
277×	`associate--r+_binary64`
252×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	1073
1	500	979
2	2024	969

Stop Event

1×	node limit

Counts

113 → 115

Calls

Call 1

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

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

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1/9 (*.f64 x x))
✓	0.0b	(-.f64 1/3 x)
✓	16.7b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite95.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`unpow-prod-down_binary64`
430×	`log-prod_binary64`
251×	`prod-diff_binary64`
244×	`pow2_binary64`
241×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	192	15
2	2734	15

Stop Event

1×	node limit

Counts

3 → 278

Calls

Call 1

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

Outputs

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

simplify201.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

397×	`fma-neg_binary64`
327×	`times-frac_binary64`
316×	`associate-r_binary64`
287×	`associate-l_binary64`
225×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	713	7523
1	1786	5706
2	7093	5578

Stop Event

1×	node limit

Counts

314 → 396

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
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(fma.f64 x (neg.f64 x) 1/9)
(fma.f64 1 (*.f64 x (neg.f64 x)) 1/9)
(fma.f64 (*.f64 (cbrt.f64 x) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 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 -1 (*.f64 x x) 1/9)
(fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) x)) (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)

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

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1/3))
	0.0b	(+.f64 x 1/3)
✓	0.1b	(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1/3))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1/3))

rewrite46.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`pow1_binary64`
584×	`add-log-exp_binary64`
583×	`log1p-expm1-u_binary64`
583×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	1583	10

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.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 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 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.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 (cbrt.f64 (+.f64 x 1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1/3) 1/4) (*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (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 (*.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (+.f64 x 1/3) 1/4)) (pow.f64 (+.f64 x 1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (sqrt.f64 (+.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 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)))))

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

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

660×	`distribute-rgt-in_binary64`
624×	`distribute-lft-in_binary64`
399×	`unswap-sqr_binary64`
305×	`fma-def_binary64`
248×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	814
1	371	594
2	1181	482
3	4714	480

Stop Event

1×	node limit

Counts

62 → 80

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 1/3) 2)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/3) 3)) 2))))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 1/3) 2) x))
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/3) 3)) 2))))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 1/3) 2) x))
(sqrt.f64 1/3)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 1/3))) (sqrt.f64 1/3))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 1/3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/3) 3))) (sqrt.f64 1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/3) 5))) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 1/3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/3) 3))) (sqrt.f64 1/3))))
(+.f64 x 1/3)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.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 (cbrt.f64 (+.f64 x 1/3)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(.f64 (pow.f64 (+.f64 x 1/3) 1/4) (.f64 (pow.f64 (+.f64 x 1/3) 1/4) (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 (.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (+.f64 x 1/3) 1/4)) (pow.f64 (+.f64 x 1/3) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (sqrt.f64 (+.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))
(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)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1/3))) 1)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (pow.f64 (+.f64 x 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3)))
(pow.f64 (+.f64 x 1/3) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 1)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1/3)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1/3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1/3))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))))

Outputs
(pow.f64 (sqrt.f64 1/3) 2)
1/3
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/3) 3)) 2))))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 1/3) 2) x))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/3) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/3) 3)) 2))))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 1/3) 2) x))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(sqrt.f64 1/3)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 1/3))) (sqrt.f64 1/3))
(fma.f64 1/2 (/.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 1/3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/3) 3))) (sqrt.f64 1/3)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 1/3)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/3) 3)) (sqrt.f64 1/3)))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3)) (.f64 -3/8 (/.f64 (.f64 x x) (sqrt.f64 1/3))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 1/3)) (fma.f64 -3/8 (/.f64 x (/.f64 (sqrt.f64 1/3) x)) (sqrt.f64 1/3)))
(+.f64 (sqrt.f64 1/3) (.f64 (/.f64 x (sqrt.f64 1/3)) (+.f64 1/2 (/.f64 (.f64 x -1/8) 1/3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/3) 5))) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 1/3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/3) 3))) (sqrt.f64 1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/3) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 1/3)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/3) 3)) (sqrt.f64 1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/3) 5)) (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3)) (.f64 -3/8 (/.f64 (.f64 x x) (sqrt.f64 1/3)))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/3) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 1/3)) (fma.f64 -3/8 (/.f64 x (/.f64 (sqrt.f64 1/3) x)) (sqrt.f64 1/3))))
(+.f64 (sqrt.f64 1/3) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/3) 5)) (.f64 (/.f64 x (sqrt.f64 1/3)) (+.f64 1/2 (/.f64 (.f64 x -1/8) 1/3)))))
(+.f64 x 1/3)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(.f64 (cbrt.f64 (+.f64 x 1/3)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3))))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(.f64 (pow.f64 (+.f64 x 1/3) 1/4) (.f64 (pow.f64 (+.f64 x 1/3) 1/4) (sqrt.f64 (+.f64 x 1/3))))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.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 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (+.f64 x 1/3) 1/4)) (pow.f64 (+.f64 x 1/3) 1/4))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(.f64 (.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1/3))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (pow.f64 (+.f64 x 1/3) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3)))
(pow.f64 (+.f64 x 1/3) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(pow.f64 (pow.f64 (+.f64 x 1/3) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(pow.f64 (pow.f64 (+.f64 x 1/3) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(fabs.f64 (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1/3 x)) 0)
(sqrt.f64 (+.f64 1/3 x))

eval320.0ms (10.2%)

Compiler: Compiled 15797 to 11244 computations (28.8% saved)

prune137.0ms (4.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	829	4	833
Fresh	0	2	2
Picked	1	0	1
Done	3	1	4
Total	833	7	840

Error

Counts

840 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.1b	(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
▶	0.5b	(+.f64 (+.f64 x -2/3) 1)
▶	0.5b	(+.f64 (+.f64 1 x) -2/3)
✓	0.0b	(+.f64 x 1/3)
▶	33.0b	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
	30.6b	x
	33.2b	1/3

Compiler

Compiled 42 to 34 computations (19% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
744×	`add-log-exp_binary64`
744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
732×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	173	7
2	2023	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

509×	`fma-def_binary64`
375×	`associate-*l/_binary64`
336×	`associate-/r*_binary64`
312×	`associate-*r/_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	394
1	191	343
2	581	304
3	2495	297

Stop Event

1×	node limit

Counts

28 → 46

Calls

Call 1

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

Outputs
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 x))
(+.f64 x (fma.f64 3 (*.f64 x x) 1/3))
(fma.f64 (fma.f64 x 3 1) x 1/3)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 9 (pow.f64 x 3)) x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (fma.f64 9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 9 (pow.f64 x 3) x) (fma.f64 3 (*.f64 x x) 1/3))
(+.f64 1/3 (fma.f64 x (*.f64 x 3) (fma.f64 9 (pow.f64 x 3) x)))
(fma.f64 9 (pow.f64 x 3) (fma.f64 (fma.f64 x 3 1) x 1/3))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))
(-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)) (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/243 (pow.f64 x 4))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))) (/.f64 -1/243 (pow.f64 x 4))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))
(-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)) (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/243 (pow.f64 x 4))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))) (/.f64 -1/243 (pow.f64 x 4))))
(-.f64 (+.f64 1 (/.f64 -1/9 (+.f64 x -1/3))) 1)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 -1/9 (+.f64 x -1/3))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 1/9 (-.f64 1/3 x))
(/.f64 (/.f64 -1/9 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 -1/9 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))
(fabs.f64 (/.f64 -1/9 (+.f64 x -1/3)))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
686×	`add-log-exp_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	4
2	1780	4

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-neg_binary64`
485×	`associate-/l*_binary64`
331×	`associate-l_binary64`
303×	`associate-r_binary64`
268×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	470
1	238	434
2	798	368
3	4523	368

Stop Event

1×	node limit

Counts

44 → 46

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
676×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	137	8
2	1781	8

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

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

simplify55.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

333×	`distribute-rgt-in_binary64`
333×	`fma-def_binary64`
320×	`unswap-sqr_binary64`
305×	`distribute-lft-in_binary64`
270×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	825
1	374	777
2	1224	673
3	7159	673

Stop Event

1×	node limit

Counts

93 → 87

Calls

Call 1

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

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2/3 x)
	0.0b	(+.f64 x -2/3)
✓	0.0b	(*.f64 (+.f64 x -2/3) (-.f64 2/3 x))
✓	16.7b	(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))

Compiler

Compiled 44 to 33 computations (25% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
1.0ms	x	@	-inf	(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
1.0ms	x	@	0	(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
0.0ms	x	@	inf	(*.f64 (+.f64 x -2/3) (-.f64 2/3 x))
0.0ms	x	@	0	(*.f64 (+.f64 x -2/3) (-.f64 2/3 x))

rewrite66.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
514×	`prod-diff_binary64`
369×	`fma-def_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	279	31
2	3848	31

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
(*.f64 (+.f64 x -2/3) (-.f64 2/3 x))
(-.f64 2/3 x)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 2/3 x))) (cbrt.f64 (exp.f64 (-.f64 2/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 2/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.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 (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 (sqrt.f64 (-.f64 2/3 x)) (sqrt.f64 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 2/3) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4/9 (*.f64 x x)) (/.f64 1 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x 2/3) 4/9) (-.f64 8/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2/3) (-.f64 4/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 2/3) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 x x)) (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x 2/3) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4/9 (*.f64 x x))) (neg.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/27 (pow.f64 (neg.f64 x) 3)) (+.f64 4/9 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 2/3 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 2/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2/3 x) 1)))) (#(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 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 sqrt.f64 (pow.f64 (-.f64 2/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (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 exp.f64 (*.f64 (log.f64 (-.f64 2/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) 2/3)))))

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

556×	`unswap-sqr_binary64`
366×	`times-frac_binary64`
217×	`div-sub_binary64`
204×	`log-prod_binary64`
183×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	2421
1	808	2280
2	2982	2062

Stop Event

1×	node limit

Counts

167 → 209

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-4/9
(-.f64 (*.f64 4/3 x) 4/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x)) 4/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x)) 4/9)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x)) 4/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x)) 4/9)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x)) 4/9)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 4/3 x)) 4/9)
2/3
(+.f64 2/3 (*.f64 -1 x))
(+.f64 2/3 (*.f64 -1 x))
(+.f64 2/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2/3 (*.f64 -1 x))
(+.f64 2/3 (*.f64 -1 x))
(+.f64 2/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2/3 (*.f64 -1 x))
(+.f64 2/3 (*.f64 -1 x))
(+.f64 2/3 (*.f64 -1 x))
(+.f64 0 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)))) 1)
(*.f64 1 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)))
(*.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (/.f64 1 (-.f64 5/3 x)))
(*.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 2)) (.f64 (cbrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (/.f64 1 (-.f64 5/3 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))) (sqrt.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (.f64 (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (/.f64 1 (-.f64 5/3 x))))
(*.f64 (neg.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (/.f64 1 (neg.f64 (-.f64 5/3 x))))
(*.f64 (/.f64 1 (-.f64 5/3 x)) (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (-.f64 5/3 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (-.f64 5/3 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 5/3 x)) 2)) (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (cbrt.f64 (-.f64 5/3 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 2)) (pow.f64 (cbrt.f64 (-.f64 5/3 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (pow.f64 (cbrt.f64 (-.f64 5/3 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (cbrt.f64 (-.f64 5/3 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 5/3 x))) (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (sqrt.f64 (-.f64 5/3 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 2)) (sqrt.f64 (-.f64 5/3 x))) (/.f64 (cbrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (sqrt.f64 (-.f64 5/3 x))))
(*.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 125/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 5/3) 25/9))
(.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 25/9 (.f64 x x))) (+.f64 x 5/3))
(pow.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))) 2)
(pow.f64 (/.f64 (-.f64 5/3 x) (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) -1)
(neg.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (neg.f64 (-.f64 5/3 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 3) (pow.f64 (-.f64 5/3 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) (-.f64 5/3 x))) 1))
(+.f64 0 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x)))
(+.f64 (.f64 2/3 (+.f64 x -2/3)) (.f64 (neg.f64 x) (+.f64 x -2/3)))
(+.f64 (.f64 x (-.f64 2/3 x)) (.f64 -2/3 (-.f64 2/3 x)))
(+.f64 (.f64 -2/3 (-.f64 2/3 x)) (.f64 x (-.f64 2/3 x)))
(+.f64 (.f64 (+.f64 x -2/3) 2/3) (.f64 (+.f64 x -2/3) (neg.f64 x)))
(+.f64 (.f64 (-.f64 2/3 x) x) (.f64 (-.f64 2/3 x) -2/3))
(+.f64 (.f64 (-.f64 2/3 x) -2/3) (.f64 (-.f64 2/3 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 x)) (+.f64 x -2/3))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 x)) (+.f64 x -2/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 x)) (+.f64 x -2/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 x)) (+.f64 x -2/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 x)) (+.f64 x -2/3)))))
(-.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 1)
(/.f64 (.f64 (+.f64 -8/27 (pow.f64 x 3)) (-.f64 8/27 (pow.f64 x 3))) (.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)) (fma.f64 x (+.f64 x 2/3) 4/9)))
(/.f64 (.f64 (fma.f64 x x -4/9) (-.f64 8/27 (pow.f64 x 3))) (.f64 (+.f64 x 2/3) (fma.f64 x (+.f64 x 2/3) 4/9)))
(/.f64 (.f64 (+.f64 -8/27 (pow.f64 x 3)) (-.f64 4/9 (.f64 x x))) (.f64 (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3)) (+.f64 x 2/3)))
(/.f64 (.f64 (fma.f64 x x -4/9) (-.f64 4/9 (.f64 x x))) (*.f64 (+.f64 x 2/3) (+.f64 x 2/3)))
(/.f64 (.f64 (-.f64 8/27 (pow.f64 x 3)) (+.f64 -8/27 (pow.f64 x 3))) (.f64 (fma.f64 x (+.f64 x 2/3) 4/9) (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))))
(/.f64 (.f64 (-.f64 4/9 (.f64 x x)) (+.f64 -8/27 (pow.f64 x 3))) (.f64 (+.f64 x 2/3) (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3))))
(/.f64 (.f64 (-.f64 8/27 (pow.f64 x 3)) (fma.f64 x x -4/9)) (.f64 (fma.f64 x (+.f64 x 2/3) 4/9) (+.f64 x 2/3)))
(/.f64 (.f64 (-.f64 4/9 (.f64 x x)) (fma.f64 x x -4/9)) (*.f64 (+.f64 x 2/3) (+.f64 x 2/3)))
(/.f64 (.f64 (+.f64 -8/27 (pow.f64 x 3)) (-.f64 2/3 x)) (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3)))
(/.f64 (*.f64 (fma.f64 x x -4/9) (-.f64 2/3 x)) (+.f64 x 2/3))
(/.f64 (*.f64 (-.f64 8/27 (pow.f64 x 3)) (+.f64 x -2/3)) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (.f64 (-.f64 4/9 (.f64 x x)) (+.f64 x -2/3)) (+.f64 x 2/3))
(/.f64 (*.f64 (+.f64 x -2/3) (-.f64 8/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (.f64 (+.f64 x -2/3) (-.f64 4/9 (.f64 x x))) (+.f64 x 2/3))
(/.f64 (.f64 (-.f64 2/3 x) (+.f64 -8/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3)))
(/.f64 (*.f64 (-.f64 2/3 x) (fma.f64 x x -4/9)) (+.f64 x 2/3))
(pow.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 2/3 x)) (+.f64 x -2/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))))
(expm1.f64 (.f64 (log1p.f64 (.f64 (+.f64 x -2/3) (-.f64 2/3 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -2/3) (-.f64 2/3 x))) 1))
(fma.f64 1 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) -1)
(fma.f64 x (-.f64 2/3 x) (*.f64 -2/3 (-.f64 2/3 x)))
(fma.f64 -2/3 (-.f64 2/3 x) (*.f64 x (-.f64 2/3 x)))
(fma.f64 (+.f64 x -2/3) 2/3 (*.f64 (+.f64 x -2/3) (neg.f64 x)))
(fma.f64 2/3 (+.f64 x -2/3) (*.f64 (neg.f64 x) (+.f64 x -2/3)))
(fma.f64 (-.f64 2/3 x) x (*.f64 (-.f64 2/3 x) -2/3))
(fma.f64 (-.f64 2/3 x) -2/3 (*.f64 (-.f64 2/3 x) x))
(fma.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1) 2)) (cbrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) (sqrt.f64 (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 x -2/3) (-.f64 2/3 x)) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 x -2/3) (-.f64 2/3 x)) (fma.f64 (+.f64 x -2/3) (-.f64 2/3 x) -1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (.f64 (+.f64 x -2/3) (-.f64 2/3 x)) 2)) (/.f64 1 (-.f64 1 (.f64 (+.f64 x -2/3) (-.f64 2/3 x)))) -1)
(+.f64 2/3 (neg.f64 x))
(+.f64 2/3 (*.f64 (neg.f64 x) 1))
(+.f64 0 (-.f64 2/3 x))
(+.f64 (neg.f64 x) 2/3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 2/3 x))) (cbrt.f64 (exp.f64 (-.f64 2/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 2/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 2/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 2/3 x)))))
(*.f64 1 (-.f64 2/3 x))
(*.f64 (-.f64 2/3 x) 1)
(*.f64 (cbrt.f64 (-.f64 2/3 x)) (pow.f64 (cbrt.f64 (-.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2/3 x)) 2) (cbrt.f64 (-.f64 2/3 x)))
(*.f64 (sqrt.f64 (-.f64 2/3 x)) (sqrt.f64 (-.f64 2/3 x)))
(*.f64 (-.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 2/3) 4/9)))
(.f64 (-.f64 4/9 (.f64 x x)) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x 2/3) 4/9) (-.f64 8/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 2/3) (-.f64 4/9 (*.f64 x x))))
(/.f64 (-.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (-.f64 4/9 (*.f64 x x)) (+.f64 x 2/3))
(/.f64 (neg.f64 (-.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x 2/3) 4/9)))
(/.f64 (neg.f64 (-.f64 4/9 (*.f64 x x))) (neg.f64 (+.f64 x 2/3)))
(/.f64 (+.f64 8/27 (pow.f64 (neg.f64 x) 3)) (+.f64 4/9 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 2/3 (neg.f64 x)))))
(/.f64 (-.f64 4/9 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 2/3 (neg.f64 x)))
(pow.f64 (-.f64 2/3 x) 1)
(pow.f64 (pow.f64 (-.f64 2/3 x) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 2/3 x)) 3)
(pow.f64 (sqrt.f64 (-.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (-.f64 2/3 x) 2))
(log.f64 (exp.f64 (-.f64 2/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2/3 x))))
(cbrt.f64 (pow.f64 (-.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (-.f64 2/3 x)))
(log1p.f64 (expm1.f64 (-.f64 2/3 x)))
(exp.f64 (log.f64 (-.f64 2/3 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 2/3 x)) 1))
(fma.f64 1 (neg.f64 x) 2/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)) 2/3)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) 2/3)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) 2/3)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) 2/3)
(fma.f64 -1 x 2/3)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 2/3)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) 2/3)

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

eval171.0ms (5.4%)

Compiler: Compiled 7976 to 6258 computations (21.5% saved)

prune93.0ms (3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	524	0	524
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	524	7	531

Error

Counts

531 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
✓	0.5b	(+.f64 (+.f64 x -2/3) 1)
✓	0.5b	(+.f64 (+.f64 1 x) -2/3)
✓	0.0b	(+.f64 x 1/3)
✓	33.0b	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
	30.6b	x
	33.2b	1/3

Compiler

Compiled 42 to 34 computations (19% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
✓	0.5b	(+.f64 (+.f64 x -2/3) 1)
✓	0.5b	(+.f64 (+.f64 1 x) -2/3)
✓	0.0b	(+.f64 x 1/3)
✓	33.0b	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
	30.6b	x
	33.2b	1/3

Compiler

Compiled 42 to 34 computations (19% saved)

regimes45.0ms (1.4%)

Counts

12 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)

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 81 to 62 computations (23.5% saved)

regimes232.0ms (7.4%)

Accuracy

Total -59.8b remaining (-2954.7%)

Threshold costs -59.8b (-2954.7%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

231.0ms

Results

Error	Segments	Branch
2.0b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch34.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.00012303473707101753	219954.45464694072
11.0ms	-0.6487546672792726	-0.00032259810964604507

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 112 to 93 computations (17% 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 6124895493223875/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 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×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4

Stop Event

1×

saturated

Compiler

Compiled 10 to 8 computations (20% saved)

end22.0ms (0.7%)

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

Details

analyze3.0ms (0.1%)

sample724.0ms (23.1%)

preprocess20.0ms (0.6%)

simplify6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (1.6%)

simplify37.0ms (1.2%)

eval7.0ms (0.2%)

prune34.0ms (1.1%)

localize11.0ms (0.4%)

series5.0ms (0.2%)

rewrite62.0ms (2%)

simplify63.0ms (2%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (1.6%)

simplify90.0ms (2.9%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite95.0ms (3%)

simplify201.0ms (6.4%)

localize7.0ms (0.2%)

series5.0ms (0.2%)

rewrite46.0ms (1.5%)

simplify60.0ms (1.9%)

eval320.0ms (10.2%)

prune137.0ms (4.4%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite41.0ms (1.3%)

simplify35.0ms (1.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite43.0ms (1.4%)

simplify42.0ms (1.3%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite61.0ms (1.9%)

simplify55.0ms (1.8%)

localize20.0ms (0.6%)

series4.0ms (0.1%)

rewrite66.0ms (2.1%)

simplify83.0ms (2.6%)

eval171.0ms (5.4%)

prune93.0ms (3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes45.0ms (1.4%)

regimes232.0ms (7.4%)

bsearch34.0ms (1.1%)

simplify3.0ms (0.1%)

soundness7.0ms (0.2%)

end22.0ms (0.7%)

Profiling