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)

sample793.0ms (25.2%)

Results

783.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

Outputs

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

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 38

Calls

Call 1

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

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

eval9.0ms (0.3%)

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

prune9.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Error

Counts

39 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
▶	15.8b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
▶	15.8b	(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
▶	0.5b	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	0.0b	(+.f64 x -1/3)
▶	15.8b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
	31.3b	x
	31.5b	-1/3

Compiler

Compiled 128 to 96 computations (25% saved)

localize25.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x -1/3)
✓	0.5b	(+.f64 1 (+.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	@	0	(+.f64 1 (+.f64 x -1/3))
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	@	-inf	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)

rewrite83.0ms (2.6%)

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	2420	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 -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (+.f64 x -4/3) 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 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -4/3)))) (#(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 2/3) 3) -1) (/.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 -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 2/3) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2/3))))))) (#(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 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 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 2/3) 2) (+.f64 1 (+.f64 x 2/3))) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x 2/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -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) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (.f64 (+.f64 x 2/3) -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 2/3) 2) -1) (+.f64 1 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -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 2/3) 3) -1)) (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 1 (+.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))))) (#(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 2/3)))))) (#(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 2/3) -1)))) (#(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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.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 (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 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4/3 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 -4/3))))))) (#(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 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 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 -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 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 -4/3))))) (#(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 -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) 1) (-.f64 4/3 x))))) (#(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 (+.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)))))

Outputs

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

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	1073
1	501	979
2	2029	969

Stop Event

1×	node limit

Counts

113 → 118

Calls

Call 1

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

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/9 (+.f64 x 1/3))
✓	14.8b	(/.f64 (*.f64 x x) (+.f64 x 1/3))

Compiler

Compiled 35 to 21 computations (40% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`pow1_binary64`
897×	`add-log-exp_binary64`
897×	`log1p-expm1-u_binary64`
897×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	183	17
2	2436	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

670×	`log-div_binary64`
439×	`associate-*l/_binary64`
417×	`associate-/l*_binary64`
410×	`unswap-sqr_binary64`
334×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1024
1	496	1004
2	1666	985
3	7565	985

Stop Event

1×	node limit

Counts

83 → 131

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -9 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (.f64 -81 (pow.f64 x 5)) (.f64 27 (pow.f64 x 4)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1/3) x)))
(.f64 x (.f64 x (/.f64 1 (+.f64 x 1/3))))
(.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 1)
(*.f64 1 (/.f64 x (/.f64 (+.f64 x 1/3) x)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1/3))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1/3 (neg.f64 x))))
(.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 x (+.f64 x 1/3)) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1/3)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (.f64 x x) (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(pow.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 1)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) 3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 2)
(pow.f64 (/.f64 (+.f64 x 1/3) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 -1/3 (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1/3) 2)))
(log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1/3) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3)))) 1)
(*.f64 1/9 (/.f64 1 (+.f64 x 1/3)))
(*.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))))
(*.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 -1/9 (/.f64 1 (+.f64 -1/3 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1/9)
(.f64 (/.f64 1/9 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(*.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (+.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 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) 2)
(pow.f64 (*.f64 (+.f64 x 1/3) 9) -1)
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.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
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -9 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -9 (pow.f64 x 3)))
(fma.f64 -9 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -9)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(fma.f64 3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (.f64 27 (pow.f64 x 4))))
(fma.f64 27 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -9))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (.f64 -81 (pow.f64 x 5)) (.f64 27 (pow.f64 x 4)))))
(fma.f64 3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (fma.f64 -81 (pow.f64 x 5) (.f64 27 (pow.f64 x 4)))))
(fma.f64 3 (.f64 x x) (fma.f64 27 (pow.f64 x 4) (fma.f64 -9 (pow.f64 x 3) (.f64 -81 (pow.f64 x 5)))))
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(+.f64 x (-.f64 (/.f64 1/9 x) 1/3))
(+.f64 x (+.f64 (/.f64 1/9 x) -1/3))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/9 x) (-.f64 x (+.f64 1/3 (/.f64 1/27 (*.f64 x x)))))
(+.f64 (/.f64 1/9 x) (+.f64 x (+.f64 -1/3 (/.f64 -1/27 (*.f64 x x)))))
(+.f64 x (+.f64 (/.f64 1/9 x) (+.f64 -1/3 (/.f64 -1/27 (*.f64 x x)))))
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(+.f64 x (-.f64 (/.f64 1/9 x) 1/3))
(+.f64 x (+.f64 (/.f64 1/9 x) -1/3))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/9 x) (-.f64 x (+.f64 1/3 (/.f64 1/27 (*.f64 x x)))))
(+.f64 (/.f64 1/9 x) (+.f64 x (+.f64 -1/3 (/.f64 -1/27 (*.f64 x x)))))
(+.f64 x (+.f64 (/.f64 1/9 x) (+.f64 -1/3 (/.f64 -1/27 (*.f64 x x)))))
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (neg.f64 x)))
(-.f64 (fma.f64 3 (*.f64 x x) 1/3) x)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 1/3 (fma.f64 -1 x (.f64 -9 (pow.f64 x 3)))))
(+.f64 (-.f64 1/3 x) (fma.f64 -9 (pow.f64 x 3) (.f64 3 (.f64 x x))))
(fma.f64 3 (*.f64 x x) (fma.f64 -9 (pow.f64 x 3) (-.f64 1/3 x)))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/243 (pow.f64 x 4)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/243 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)))) 1)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1/3) x)))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(.f64 x (.f64 x (/.f64 1 (+.f64 x 1/3))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3)))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 1)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 1 (/.f64 x (/.f64 (+.f64 x 1/3) x)))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) 2))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1/3))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1/3 (neg.f64 x))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1/3 x)))
(/.f64 x (/.f64 (-.f64 -1/3 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 x (-.f64 -1/3 x)))
(.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1/3)))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 (/.f64 x (+.f64 x 1/3)) x)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1/3)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (+.f64 x 1/3)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1/3))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1/3))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 (.f64 x x) (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1/27)) x) (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 x (/.f64 (+.f64 (pow.f64 x 3) 1/27) (*.f64 x (fma.f64 x x (fma.f64 x -1/3 1/9)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (+.f64 x -1/3))
(.f64 (.f64 (/.f64 x (fma.f64 x x -1/9)) x) (+.f64 x -1/3))
(.f64 (.f64 x (/.f64 x (fma.f64 x x -1/9))) (+.f64 x -1/3))
(pow.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 1)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 3) 1/3)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) 3)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 2)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(pow.f64 (/.f64 (+.f64 x 1/3) (*.f64 x x)) -1)
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(neg.f64 (/.f64 (*.f64 x x) (+.f64 -1/3 (neg.f64 x))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1/3 x)))
(/.f64 x (/.f64 (-.f64 -1/3 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 x (-.f64 -1/3 x)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1/3) 2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 2))
(fabs.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) 3))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1/3) 3)))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(exp.f64 (log.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3)))) 1)
(/.f64 1/9 (+.f64 x 1/3))
(*.f64 1/9 (/.f64 1 (+.f64 x 1/3)))
(/.f64 1/9 (+.f64 x 1/3))
(*.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(/.f64 1/9 (+.f64 x 1/3))
(*.f64 1 (/.f64 1/9 (+.f64 x 1/3)))
(/.f64 1/9 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (fma.f64 x 9 3) -2)))
(*.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (fma.f64 x 9 3) -2)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(*.f64 -1/9 (/.f64 1 (+.f64 -1/3 (neg.f64 x))))
(/.f64 -1/9 (-.f64 -1/3 x))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1/9)
(/.f64 1/9 (+.f64 x 1/3))
(.f64 (/.f64 1/9 (+.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 1/9 (+.f64 (pow.f64 x 3) 1/27)))
(.f64 (fma.f64 x x (+.f64 1/9 (.f64 x -1/3))) (/.f64 1/9 (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 (fma.f64 x x (fma.f64 x -1/3 1/9)) (/.f64 1/9 (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) (/.f64 1/9 (fma.f64 x x -1/9)))
(/.f64 (+.f64 -1/27 (*.f64 1/9 x)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x 1/9 -1/27) (fma.f64 x x -1/9))
(pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3) 1/3)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) 3)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) 2)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (*.f64 (+.f64 x 1/3) 9) -1)
(/.f64 1/9 (+.f64 x 1/3))
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x 1/3) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x 9 3) -2))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3)))))
(/.f64 1/9 (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3))
(/.f64 1/9 (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -1/9)
✓	0.0b	(/.f64 1 (+.f64 x 1/3))
✓	14.7b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series6.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
1.0ms	x	@	-inf	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
0.0ms	x	@	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	(fma.f64 x x -1/9)

rewrite60.0ms (1.9%)

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	23
1	194	16
2	2373	16

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

486×	`fma-neg_binary64`
438×	`associate-/r*_binary64`
408×	`fma-def_binary64`
261×	`*-commutative_binary64`
259×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	1079
1	505	979
2	2043	926
3	7160	925

Stop Event

1×	node limit

Counts

116 → 129

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
3
(+.f64 (*.f64 -9 x) 3)
(+.f64 (.f64 -9 x) (+.f64 3 (.f64 27 (pow.f64 x 2))))
(+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.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)) (+.f64 -1/3 (neg.f64 x)))
(/.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)) (+.f64 -1/3 (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1/9) -1) (+.f64 -1/3 (neg.f64 x)))
(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 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 (+.f64 -1/3 (neg.f64 x))))
(*.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 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
3
(+.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x 3)
(fma.f64 x -9 3)
(+.f64 (.f64 -9 x) (+.f64 3 (.f64 27 (pow.f64 x 2))))
(+.f64 (fma.f64 -9 x 3) (.f64 27 (.f64 x x)))
(fma.f64 x -9 (fma.f64 27 (*.f64 x x) 3))
(+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2)))))
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (.f64 27 (.f64 x x)))))
(fma.f64 x -9 (fma.f64 -81 (pow.f64 x 3) (fma.f64 27 (*.f64 x x) 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/3 x) x))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 (/.f64 -1/3 x) x)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/3 x) x) (/.f64 -1/27 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/3 x) x))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 (/.f64 -1/3 x) x)))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/3 x) x) (/.f64 -1/27 (pow.f64 x 4)))))
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(+.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)) (+.f64 -1/3 (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.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 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (*.f64 -1 (fma.f64 x x -1/9)) (+.f64 -1/3 (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (*.f64 (fma.f64 x x -1/9) -1) (+.f64 -1/3 (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.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)
(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 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 (+.f64 -1/3 (neg.f64 x))))
(/.f64 -1 (-.f64 -1/3 x))
(*.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 (/.f64 1 (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (fma.f64 x x (fma.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 1/9 (*.f64 x x)))))
(/.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 1/9 (*.f64 x x)))))
(/.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)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x x -1/9)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	14.7b	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	199	11
2	2563	11

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

641×	`associate-/l*_binary64`
562×	`associate-/r*_binary64`
490×	`fma-def_binary64`
445×	`distribute-rgt-in_binary64`
430×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	1592
1	770	1482
2	2327	1463

Stop Event

1×	node limit

Counts

143 → 166

Calls

Call 1

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

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

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	0.0b	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))
✓	0.3b	(*.f64 x -1/3)
✓	20.1b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite104.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	317	36
2	4213	36

Stop Event

1×	node limit

Counts

4 → 342

Calls

Call 1

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

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

simplify142.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

433×	`fma-neg_binary64`
306×	`log-prod_binary64`
216×	`fma-udef_binary64`
208×	`fma-def_binary64`
191×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	631	6822
1	1503	5333
2	4648	4713

Stop Event

1×	node limit

Counts

390 → 411

Calls

Call 1

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

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

eval495.0ms (15.7%)

Compiler: Compiled 18607 to 13291 computations (28.6% saved)

prune181.0ms (5.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1024	3	1027
Fresh	0	2	2
Picked	1	0	1
Done	4	1	5
Total	1029	6	1035

Error

Counts

1035 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
▶	31.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
▶	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	0.0b	(+.f64 x -1/3)
	31.3b	x
	31.5b	-1/3

Compiler

Compiled 34 to 27 computations (20.6% saved)

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

rewrite46.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`pow1_binary64`
682×	`add-log-exp_binary64`
681×	`log1p-expm1-u_binary64`
681×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	139	8
2	1805	8

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

576×	`distribute-rgt-in_binary64`
523×	`distribute-lft-in_binary64`
343×	`fma-def_binary64`
325×	`log-prod_binary64`
320×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	793
1	377	745
2	1272	687
3	7703	687

Stop Event

1×	node limit

Counts

98 → 95

Calls

Call 1

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
740×	`add-log-exp_binary64`
740×	`log1p-expm1-u_binary64`
740×	`expm1-log1p-u_binary64`
728×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	173	13
2	2008	13

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

627×	`unswap-sqr_binary64`
431×	`fma-neg_binary64`
412×	`log-div_binary64`
394×	`log-prod_binary64`
296×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	896
1	388	788
2	1356	733
3	6593	731

Stop Event

1×	node limit

Counts

74 → 105

Calls

Call 1

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

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) x) -1/3)
(+.f64 x (fma.f64 x (*.f64 x -3) -1/3))
(fma.f64 (+.f64 (*.f64 x -3) 1) x -1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(fma.f64 -3 (*.f64 x x) (+.f64 (fma.f64 9 (pow.f64 x 3) x) -1/3))
(+.f64 x (-.f64 (.f64 (.f64 x x) (fma.f64 x 9 -3)) 1/3))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x 9 -3) -1/3))
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/243 (pow.f64 x 4)))
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/243 (pow.f64 x 4)))
-3
(*.f64 -9 x)
(*.f64 x -9)
(*.f64 -9 x)
(*.f64 x -9)
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -9 x -3))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 1 (/.f64 1 (fma.f64 -9 x -3)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 (/.f64 1 (fma.f64 -9 x -3)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -9 x -3))) (cbrt.f64 (pow.f64 (fma.f64 -9 x -3) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -9 -3))) (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)) (cbrt.f64 (fma.f64 x -9 -3)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -9 x -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -9 x -3))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -9 -3))) (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)) (cbrt.f64 (fma.f64 x -9 -3)))
(*.f64 (pow.f64 (fma.f64 -9 x -3) -1/2) (pow.f64 (fma.f64 -9 x -3) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -9 x -3))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) -1) (pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(.f64 (/.f64 1 (+.f64 (.f64 -729 (pow.f64 x 3)) -27)) (+.f64 (.f64 81 (.f64 x x)) (+.f64 9 (*.f64 x -27))))
(.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) -27)) (fma.f64 81 (.f64 x x) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)) (fma.f64 (pow.f64 x 3) -729 -27))
(/.f64 (fma.f64 x (*.f64 x 81) (fma.f64 x -27 9)) (fma.f64 (pow.f64 x 3) -729 -27))
(.f64 (/.f64 1 (+.f64 (.f64 81 (*.f64 x x)) -9)) (fma.f64 -9 x 3))
(.f64 (/.f64 1 (fma.f64 81 (.f64 x x) -9)) (fma.f64 -9 x 3))
(/.f64 (fma.f64 x -9 3) (fma.f64 (*.f64 x 81) x -9))
(/.f64 (fma.f64 x -9 3) (fma.f64 x (*.f64 x 81) -9))
(pow.f64 (fma.f64 -9 x -3) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (/.f64 1 (fma.f64 -9 x -3)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -9 x -3)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -9 x -3))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(pow.f64 (pow.f64 (fma.f64 -9 x -3) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(sqrt.f64 (pow.f64 (fma.f64 -9 x -3) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -9 x -3))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -9 x -3)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -9 x -3))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -9 x -3))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -9 x -3))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -9 -3)) 1))
(+.f64 (/.f64 1 (fma.f64 x -9 -3)) 0)
(/.f64 1 (fma.f64 x -9 -3))
(+.f64 (*.f64 -9 x) -3)
(fma.f64 x -9 -3)
(+.f64 -3 (*.f64 -9 x))
(fma.f64 x -9 -3)
(*.f64 1 (fma.f64 -9 x -3))
(fma.f64 x -9 -3)
(*.f64 (fma.f64 -9 x -3) 1)
(fma.f64 x -9 -3)
(*.f64 (cbrt.f64 (fma.f64 -9 x -3)) (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2))
(fma.f64 x -9 -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2) (cbrt.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(*.f64 (sqrt.f64 (fma.f64 -9 x -3)) (sqrt.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(.f64 (+.f64 (.f64 -729 (pow.f64 x 3)) -27) (/.f64 1 (+.f64 (.f64 81 (.f64 x x)) (+.f64 9 (*.f64 x -27)))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 x 3) -27) 1) (fma.f64 81 (.f64 x x) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 x (*.f64 x 81) (fma.f64 x -27 9)))
(.f64 (+.f64 (.f64 81 (*.f64 x x)) -9) (/.f64 1 (fma.f64 -9 x 3)))
(.f64 (fma.f64 81 (.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 (*.f64 x 81) x -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 1 (/.f64 1 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(/.f64 1 (/.f64 (+.f64 (.f64 81 (.f64 x x)) (+.f64 9 (.f64 x -27))) (+.f64 (.f64 -729 (pow.f64 x 3)) -27)))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 x 3) -27) 1) (fma.f64 81 (.f64 x x) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 x (*.f64 x 81) (fma.f64 x -27 9)))
(/.f64 1 (/.f64 (fma.f64 -9 x 3) (+.f64 (.f64 81 (.f64 x x)) -9)))
(.f64 (fma.f64 81 (.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 (*.f64 x 81) x -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 -9 x -3) 1)
(fma.f64 x -9 -3)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -9 x -3))))
(fma.f64 x -9 -3)
(/.f64 (sqrt.f64 (fma.f64 -9 x -3)) (pow.f64 (fma.f64 -9 x -3) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x -9 -3)) (pow.f64 (fma.f64 x -9 -3) -1/2))
(/.f64 (neg.f64 (fma.f64 -9 x -3)) -1)
(fma.f64 x -9 -3)
(/.f64 (+.f64 (.f64 -729 (pow.f64 x 3)) -27) (+.f64 (.f64 81 (.f64 x x)) (+.f64 9 (.f64 x -27))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 x 3) -27) 1) (fma.f64 81 (.f64 x x) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 x (*.f64 x 81) (fma.f64 x -27 9)))
(/.f64 (+.f64 (.f64 -729 (pow.f64 x 3)) -27) (+.f64 (.f64 81 (.f64 x x)) (-.f64 9 (.f64 (*.f64 -9 x) -3))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 x 3) -27) 1) (fma.f64 81 (.f64 x x) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 x (*.f64 x 81) (fma.f64 x -27 9)))
(/.f64 (+.f64 (.f64 81 (.f64 x x)) -9) (fma.f64 -9 x 3))
(.f64 (fma.f64 81 (.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 (*.f64 x 81) x -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 (+.f64 (.f64 81 (.f64 x x)) -9) (-.f64 (*.f64 -9 x) -3))
(.f64 (fma.f64 81 (.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 (*.f64 x 81) x -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 (neg.f64 (+.f64 (.f64 -729 (pow.f64 x 3)) -27)) (neg.f64 (+.f64 (.f64 81 (.f64 x x)) (+.f64 9 (.f64 x -27)))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 x 3) -27) 1) (fma.f64 81 (.f64 x x) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -27) (fma.f64 x (*.f64 x 81) (fma.f64 x -27 9)))
(/.f64 (neg.f64 (+.f64 (.f64 81 (.f64 x x)) -9)) (neg.f64 (fma.f64 -9 x 3)))
(.f64 (fma.f64 81 (.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 (*.f64 x 81) x -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(pow.f64 (fma.f64 -9 x -3) 1)
(fma.f64 x -9 -3)
(pow.f64 (pow.f64 (fma.f64 -9 x -3) 3) 1/3)
(fma.f64 x -9 -3)
(pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 3)
(fma.f64 x -9 -3)
(pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) 2)
(fma.f64 x -9 -3)
(sqrt.f64 (pow.f64 (fma.f64 -9 x -3) 2))
(fma.f64 x -9 -3)
(log.f64 (exp.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(cbrt.f64 (pow.f64 (fma.f64 -9 x -3) 3))
(fma.f64 x -9 -3)
(expm1.f64 (log1p.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(log1p.f64 (expm1.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(exp.f64 (log.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(fma.f64 1 (*.f64 -9 x) -3)
(fma.f64 x -9 -3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(fma.f64 x -9 -3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -9 x)) 2) (cbrt.f64 (.f64 -9 x)) -3)
(fma.f64 x -9 -3)
(fma.f64 (sqrt.f64 (.f64 -9 x)) (sqrt.f64 (.f64 -9 x)) -3)
(fma.f64 x -9 -3)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) 1/9)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	14.7b	(/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite61.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
365×	`exp-prod_binary64`
297×	`pow-prod-down_binary64`
270×	`pow2_binary64`
185×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	229	16
2	3040	16

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) (/.f64 1 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (cbrt.f64 (+.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)) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9))))))) (#(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 (sqrt.f64 (+.f64 x 1/3)) (*.f64 (sqrt.f64 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x 1/3)) (/.f64 1 (neg.f64 (fma.f64 x x -1/9))))))) (#(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 *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) 1) (/.f64 (sqrt.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 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exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1/9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 -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 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1/9)))))

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def_binary64`
565×	`distribute-rgt-in_binary64`
510×	`distribute-lft-in_binary64`
253×	`sqr-pow_binary64`
162×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	2226
1	998	2030
2	3132	2012

Stop Event

1×	node limit

Counts

214 → 233

Calls

Call 1

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

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

eval132.0ms (4.2%)

Compiler: Compiled 5267 to 4126 computations (21.7% saved)

prune99.0ms (3.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	433	0	433
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	433	6	439

Error

Counts

439 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.8b	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	31.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	0.0b	(+.f64 x -1/3)
	31.3b	x
	31.5b	-1/3

Compiler

Compiled 34 to 27 computations (20.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

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

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.8b	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	31.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
✓	0.5b	(-.f64 (+.f64 x 2/3) 1)
✓	0.0b	(+.f64 x -1/3)
	31.3b	x
	31.5b	-1/3

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes21.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/3)

Calls

3 calls:

7.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 103 to 75 computations (27.2% saved)

regimes10.0ms (0.3%)

Accuracy

Total -60.5b remaining (-5103.1%)

Threshold costs -60.5b (-5103.1%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0029421815227809534	1888.8247890618795
14.0ms	-251682915.918413	-0.0057880256772278186

Results

24.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x -1/3)
(if (<=.f64 x -6034823500676465/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3

Outputs
(+.f64 x -1/3)
(if (<=.f64 x -6034823500676465/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 22 to 18 computations (18.2% saved)

end19.0ms (0.6%)

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

Details

analyze3.0ms (0.1%)

sample793.0ms (25.2%)

preprocess15.0ms (0.5%)

simplify16.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series1.0ms (0%)

rewrite67.0ms (2.1%)

simplify36.0ms (1.1%)

eval9.0ms (0.3%)

prune9.0ms (0.3%)

localize25.0ms (0.8%)

series1.0ms (0%)

rewrite83.0ms (2.6%)

simplify43.0ms (1.4%)

localize14.0ms (0.4%)

series2.0ms (0.1%)

rewrite57.0ms (1.8%)

simplify61.0ms (1.9%)

localize11.0ms (0.4%)

series6.0ms (0.2%)

rewrite60.0ms (1.9%)

simplify56.0ms (1.8%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

rewrite73.0ms (2.3%)

simplify74.0ms (2.3%)

localize19.0ms (0.6%)

series5.0ms (0.1%)

rewrite104.0ms (3.3%)

simplify142.0ms (4.5%)

eval495.0ms (15.7%)

prune181.0ms (5.8%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite46.0ms (1.5%)

simplify52.0ms (1.6%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite48.0ms (1.5%)

simplify48.0ms (1.5%)

localize12.0ms (0.4%)

series3.0ms (0.1%)

rewrite61.0ms (1.9%)

simplify63.0ms (2%)

eval132.0ms (4.2%)

prune99.0ms (3.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes21.0ms (0.7%)

regimes10.0ms (0.3%)

bsearch27.0ms (0.9%)

simplify3.0ms (0.1%)

soundness9.0ms (0.3%)

end19.0ms (0.6%)

Profiling