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)

sample626.0ms (33.5%)

Results

616.0ms

8256×

body

256

valid

Bogosity

preprocess17.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0.1%)

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)

rewrite51.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	91	4
2	1150	4

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x 1/3)

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

Outputs

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

simplify36.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

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

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

eval8.0ms (0.4%)

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

prune7.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	0.0b	(+.f64 x 1/3)
▶	16.6b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	30.7b	x
	32.6b	1/3

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x -1/3))
✓	15.5b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (2.6%)

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	18
1	194	11
2	2374	11

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify48.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-def_binary64`
604×	`unswap-sqr_binary64`
420×	`times-frac_binary64`
327×	`fma-neg_binary64`
280×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	826
1	402	744
2	1365	656
3	6044	639

Stop Event

1×	node limit

Counts

78 → 96

Calls

Call 1

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

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

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (3.6%)

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	10
1	168	4
2	2419	4

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify44.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

654×	`div-sub_binary64`
504×	`fma-neg_binary64`
447×	`fma-def_binary64`
383×	`cancel-sign-sub-inv_binary64`
247×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	640
1	335	559
2	1180	552
3	4705	512

Stop Event

1×	node limit

Counts

65 → 69

Calls

Call 1

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

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

eval78.0ms (4.2%)

Compiler: Compiled 2439 to 1853 computations (24% saved)

prune22.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	202	5	207

Error

Counts

207 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (+.f64 x 4/3) -1)
▶	16.6b	(+.f64 (.f64 (/.f64 1 (+.f64 x -1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
✓	0.0b	(+.f64 x 1/3)
	30.7b	x
	32.6b	1/3

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize17.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 1 (+.f64 x -1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
	0.0b	(/.f64 1 (+.f64 x -1/3))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9)
✓	15.5b	(.f64 (/.f64 1 (+.f64 x -1/3)) (.f64 x x))

Compiler

Compiled 49 to 34 computations (30.6% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite85.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`log-prod_binary64`
506×	`fma-def_binary64`
378×	`pow-prod-down_binary64`
296×	`pow2_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	248	21
2	3379	21

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

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

simplify87.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

530×	`distribute-rgt-in_binary64`
491×	`distribute-lft-in_binary64`
300×	`associate-/l/_binary64`
292×	`unswap-sqr_binary64`
214×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	2574
1	920	2371
2	2990	2347

Stop Event

1×	node limit

Counts

181 → 232

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 -27 (pow.f64 x 4)) (+.f64 (.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3))))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (.f64 -81 (pow.f64 x 5)))))
x
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 x)) x)))
x
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 x)) x)))
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 9 (pow.f64 x 3)) x)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 0 (*.f64 x (/.f64 x (+.f64 x -1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))))) 1)
(/.f64 1 (/.f64 (+.f64 x -1/3) (*.f64 x x)))
(/.f64 x (/.f64 (+.f64 x -1/3) x))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(/.f64 (*.f64 (cbrt.f64 x) x) (/.f64 (+.f64 x -1/3) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (neg.f64 (*.f64 x x)) (+.f64 1/3 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (*.f64 x x) 1) (+.f64 x -1/3))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (.f64 -1 (.f64 x x)) (+.f64 1/3 (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) -1) (+.f64 1/3 (neg.f64 x)))
(pow.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))) 1)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))) 3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) 1/3)
(pow.f64 (/.f64 (+.f64 x -1/3) (*.f64 x x)) -1)
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (+.f64 x -1/3)))) 1))
(+.f64 0 (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1)
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(pow.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(pow.f64 (/.f64 -1/729 (pow.f64 (+.f64 x -1/3) 3)) 1/3)
(pow.f64 (/.f64 (+.f64 x -1/3) -1/9) -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 (/.f64 -1/729 (pow.f64 (+.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1))
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3))) (/.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3))))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.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 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(.f64 (pow.f64 (+.f64 x -1/3) -1/2) (.f64 (pow.f64 (+.f64 x -1/3) -1/2) (fma.f64 x x -1/9)))
(.f64 (fma.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6)) (/.f64 1 (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (.f64 x (/.f64 x (+.f64 x -1/3)))) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))))
(.f64 (.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3))) (/.f64 1 (/.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 1 (/.f64 (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 x (/.f64 x (+.f64 x -1/3)))) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (fma.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6))))
(/.f64 1 (/.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)) (*.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))))
(/.f64 (fma.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 x (/.f64 x (+.f64 x -1/3)))) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(/.f64 (fma.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6)) (fma.f64 1/81 (pow.f64 (+.f64 x -1/3) -2) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4) (/.f64 (.f64 (.f64 x x) -1/9) (pow.f64 (+.f64 x -1/3) 2)))))
(/.f64 (*.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3))) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (fma.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6))) (neg.f64 (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 x (/.f64 x (+.f64 x -1/3)))) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))) (neg.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3))))
(/.f64 (fma.f64 (.f64 x x) (+.f64 x -1/3) (.f64 (+.f64 x -1/3) -1/9)) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (fma.f64 -1/9 (+.f64 x -1/3) (.f64 (+.f64 x -1/3) (.f64 x x))) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (-.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (-.f64 (.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (.f64 x (/.f64 x (+.f64 x -1/3)))))
(/.f64 (*.f64 -1 (fma.f64 x x -1/9)) (+.f64 1/3 (neg.f64 x)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (pow.f64 (+.f64 x 1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 x (/.f64 x (+.f64 x -1/3)))) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (fma.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6))) -1)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)) (*.f64 (+.f64 x 1/3) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))) -1)
(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))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (+.f64 x -1/3))))) (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3))) (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (+.f64 x -1/3))))) (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))) (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3)))))
(log.f64 (.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))) (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (+.f64 x -1/3)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))) (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (+.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)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(fma.f64 1 x 1/3)
(fma.f64 1 (*.f64 x (/.f64 x (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 1 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 x 1 1/3)
(fma.f64 x (/.f64 x (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) -1/9 (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 x (/.f64 x (+.f64 x -1/3))) 1 (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 -1/9 (/.f64 1 (+.f64 x -1/3)) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (.f64 x x)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1/9) (.f64 x (/.f64 x (+.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 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2) (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (pow.f64 (+.f64 x -1/3) -1/2) (.f64 (pow.f64 (+.f64 x -1/3) -1/2) (.f64 x x)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (pow.f64 (+.f64 x -1/3) -1/2) (.f64 (pow.f64 (+.f64 x -1/3) -1/2) -1/9) (.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (/.f64 x (+.f64 x -1/3)) x (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1/3)
(fma.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (.f64 x (/.f64 x (+.f64 x -1/3)))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 -1/9 (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3)) (.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (.f64 (/.f64 1 (+.f64 x -1/3)) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 x -1/3) -1/2)) (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) 1) x (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (.f64 -1/9 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (.f64 -1/9 (pow.f64 (+.f64 x -1/3) -1/2)) (pow.f64 (+.f64 x -1/3) -1/2) (.f64 x (/.f64 x (+.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)))
(.f64 (.f64 x x) (+.f64 -3 (*.f64 x -9)))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 (.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3))))
(fma.f64 -27 (pow.f64 x 4) (fma.f64 -3 (.f64 x x) (.f64 -9 (pow.f64 x 3))))
(fma.f64 -27 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 -3 (*.f64 x -9))))
(+.f64 (.f64 -27 (pow.f64 x 4)) (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 -9 (pow.f64 x 3)) (.f64 -81 (pow.f64 x 5)))))
(fma.f64 -27 (pow.f64 x 4) (fma.f64 -3 (.f64 x x) (fma.f64 -9 (pow.f64 x 3) (.f64 -81 (pow.f64 x 5)))))
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 x (/.f64 1/9 x)))
(+.f64 (/.f64 1/9 x) (+.f64 x 1/3))
(+.f64 1/3 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 x)) x)))
(+.f64 1/3 (+.f64 (+.f64 x (/.f64 1/9 x)) (/.f64 1/27 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 x) (+.f64 1/9 (/.f64 1/27 x))) (+.f64 x 1/3))
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 x (/.f64 1/9 x)))
(+.f64 (/.f64 1/9 x) (+.f64 x 1/3))
(+.f64 1/3 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 x)) x)))
(+.f64 1/3 (+.f64 (+.f64 x (/.f64 1/9 x)) (/.f64 1/27 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 x) (+.f64 1/9 (/.f64 1/27 x))) (+.f64 x 1/3))
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(fma.f64 3 (*.f64 x x) (+.f64 x 1/3))
(+.f64 x (fma.f64 3 (*.f64 x x) 1/3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 9 (pow.f64 x 3)) x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (fma.f64 9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 (pow.f64 x 3) 9 x) (fma.f64 3 (*.f64 x x) 1/3))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))))
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1/3
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x
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x
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 x 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (*.f64 x (/.f64 x (+.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))
(fma.f64 (/.f64 x (+.f64 x -1/3)) x (/.f64 -1/9 (+.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))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1/3)
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1/3)
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) 1/3)
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x) 1/3)
(fma.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1/3)) (/.f64 -1/9 (+.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))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.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))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.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))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.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))
(fma.f64 (/.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (.f64 x (/.f64 x (+.f64 x -1/3)))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (.f64 x (/.f64 x (+.f64 x -1/3)))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x -1/3)) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x -1/3))) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 3) -1/27)) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 3) -1/27)) x) (+.f64 (fma.f64 x x 1/9) (.f64 x 1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x x -1/9)) x) (+.f64 x 1/3) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 -1/9 (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3)) (.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) -1/27)) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3)) (/.f64 (.f64 x x) (+.f64 x -1/3)))
(fma.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (fma.f64 x x 1/9) (.f64 x 1/3)) (.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (/.f64 x (/.f64 (+.f64 x -1/3) x)))
(fma.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3) (/.f64 (*.f64 x x) (+.f64 x -1/3)))
(fma.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3) (/.f64 x (/.f64 (+.f64 x -1/3) x)))
(fma.f64 (.f64 (/.f64 1 (+.f64 x -1/3)) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/9 (+.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))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (/.f64 (.f64 1 (.f64 x x)) (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (*.f64 x (/.f64 x (cbrt.f64 (+.f64 x -1/3)))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 x -1/3) -1/2)) (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 -1/9 (+.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))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) 1) x (/.f64 -1/9 (+.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))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1/9 (+.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))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1/9 (+.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))
(fma.f64 (.f64 -1/9 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (/.f64 -1/9 (cbrt.f64 (+.f64 x -1/3))) (/.f64 (*.f64 x x) (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (/.f64 -1/9 (cbrt.f64 (+.f64 x -1/3))) (*.f64 x (/.f64 x (+.f64 x -1/3))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (/.f64 -1/9 (cbrt.f64 (+.f64 x -1/3))) (/.f64 x (/.f64 (+.f64 x -1/3) x)))
(fma.f64 (.f64 -1/9 (pow.f64 (+.f64 x -1/3) -1/2)) (pow.f64 (+.f64 x -1/3) -1/2) (.f64 x (/.f64 x (+.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))

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x 4/3)
✓	0.5b	(+.f64 (+.f64 x 4/3) -1)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 x 4/3) -1)
0.0ms	x	@	-inf	(+.f64 (+.f64 x 4/3) -1)
0.0ms	x	@	-inf	(+.f64 x 4/3)
0.0ms	x	@	inf	(+.f64 (+.f64 x 4/3) -1)
0.0ms	x	@	0	(+.f64 x 4/3)

rewrite46.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
712×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	139	8
2	1819	8

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(+.f64 (+.f64 x 4/3) -1)
(+.f64 x 4/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))))) (#(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 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))) (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 4/3) 2) (*.f64 (+.f64 x 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))))) (#(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 /.f64 (-.f64 1 (pow.f64 (+.f64 x 4/3) 2)) (-.f64 -1 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 64/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 x 3)) (+.f64 16/9 (-.f64 (*.f64 x x) (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)))))

simplify50.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1005×	`fma-neg_binary64`
380×	`distribute-rgt-in_binary64`
348×	`distribute-lft-in_binary64`
317×	`fma-def_binary64`
304×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	808
1	378	733
2	1235	637
3	7332	637

Stop Event

1×	node limit

Counts

90 → 83

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))
(*.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 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))) (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3))))
(/.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 4/3) 2) (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))
(/.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))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 4/3) 2)) (-.f64 -1 (+.f64 x 4/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(-.f64 (+.f64 1 (+.f64 x 4/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 1 (+.f64 x 4/3))
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (+.f64 64/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 64/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (+.f64 16/9 (-.f64 (.f64 x x) (.f64 x 4/3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 64/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(fma.f64 1 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 -1 (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(*.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 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (fma.f64 (+.f64 x 4/3) (+.f64 x 7/3) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 -1 (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))) (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (fma.f64 (+.f64 x 4/3) (+.f64 x 7/3) 1))
(/.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 -1 (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (fma.f64 (+.f64 x 4/3) (+.f64 x 7/3) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 4/3) 2) (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (fma.f64 (+.f64 x 4/3) (+.f64 x 7/3) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 -1 (+.f64 x 7/3)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (fma.f64 (+.f64 x 4/3) (+.f64 x 7/3) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 -1 (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (.f64 x x) (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.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 (-.f64 1 (pow.f64 (+.f64 x 4/3) 2)) (-.f64 -1 (+.f64 x 4/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (/.f64 -1 (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(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 1 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -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 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 4/3)) 1)
(+.f64 x 4/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(*.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(*.f64 1 (+.f64 x 4/3))
(+.f64 x 4/3)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(+.f64 x 4/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(.f64 (+.f64 64/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 64/27 (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (+.f64 16/9 (-.f64 (.f64 x x) (.f64 x 4/3))))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (neg.f64 (+.f64 64/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(exp.f64 (log.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 1 x 4/3)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(+.f64 x 4/3)

eval183.0ms (9.8%)

Compiler: Compiled 7811 to 5681 computations (27.3% saved)

prune61.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	424	1	425
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	425	5	430

Error

Counts

430 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (+.f64 x 4/3) -1)
▶	32.3b	(+.f64 (.f64 -3 (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
✓	0.0b	(+.f64 x 1/3)
	30.7b	x
	32.6b	1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize16.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 x -1/3))
✓	0.1b	(.f64 -3 (.f64 x x))
	0.2b	(*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9)

Compiler

Compiled 42 to 29 computations (31% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1149	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify41.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
425×	`associate-l_binary64`
382×	`associate-r_binary64`
318×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	102	206
2	360	191
3	2980	191
4	6246	191

Stop Event

1×	node limit

Counts

26 → 18

Calls

Call 1

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

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

eval40.0ms (2.1%)

Compiler: Compiled 2083 to 1478 computations (29% saved)

prune18.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Error

Counts

122 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (+.f64 x 4/3) -1)
✓	32.3b	(+.f64 (.f64 -3 (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
✓	0.0b	(+.f64 x 1/3)
	30.7b	x
	32.6b	1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes18.0ms (0.9%)

Counts

9 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 (+.f64 x 4/3) -1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 (.f64 -3 (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.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)))

Outputs
(+.f64 x 1/3)

Calls

3 calls:

7.0ms	x
4.0ms	(+.f64 x (/.f64 1 3))
4.0ms	(+.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 77 to 58 computations (24.7% saved)

regimes9.0ms (0.5%)

Accuracy

Total -60.4b remaining (-4077.7%)

Threshold costs -60.4b (-4077.7%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch32.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	5.015603817770569e-5	59057351.309445724
15.0ms	-5919.394859111408	-2.7178019270334122e-8

Results

26.0ms

320×

body

256

valid

Compiler

Compiled 130 to 108 computations (16.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4

Stop Event

1×

saturated

Compiler

Compiled 10 to 8 computations (20% saved)

end22.0ms (1.2%)

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

Details

analyze3.0ms (0.1%)

sample626.0ms (33.5%)

preprocess17.0ms (0.9%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series1.0ms (0.1%)

rewrite51.0ms (2.7%)

simplify36.0ms (1.9%)

eval8.0ms (0.4%)

prune7.0ms (0.4%)

localize11.0ms (0.6%)

series3.0ms (0.2%)

rewrite49.0ms (2.6%)

simplify48.0ms (2.6%)

localize7.0ms (0.4%)

series1.0ms (0%)

rewrite67.0ms (3.6%)

simplify44.0ms (2.4%)

eval78.0ms (4.2%)

prune22.0ms (1.2%)

localize17.0ms (0.9%)

series4.0ms (0.2%)

rewrite85.0ms (4.5%)

simplify87.0ms (4.6%)

localize5.0ms (0.3%)

series1.0ms (0.1%)

rewrite46.0ms (2.4%)

simplify50.0ms (2.7%)

eval183.0ms (9.8%)

prune61.0ms (3.3%)

localize16.0ms (0.9%)

series1.0ms (0.1%)

rewrite37.0ms (2%)

simplify41.0ms (2.2%)

eval40.0ms (2.1%)

prune18.0ms (1%)

regimes18.0ms (0.9%)

regimes9.0ms (0.5%)

bsearch32.0ms (1.7%)

simplify3.0ms (0.1%)

soundness7.0ms (0.4%)

end22.0ms (1.2%)

Profiling