Details

analyze36.0ms (1.9%)

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)

sample690.0ms (35.2%)

Results

652.0ms

8256×

body

256

valid

Bogosity

preprocess6.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

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)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite86.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

Outputs

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

simplify47.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

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

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

eval8.0ms (0.4%)

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

prune5.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Error

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.6b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	0.0b	(+.f64 x -1/3)
	31.1b	x
	31.9b	-1/3

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize40.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x 1/3)
✓	0.0b	(fma.f64 x x -1/9)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	15.4b	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite130.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	238	36
2	3024	36

Stop Event

1×	node limit

Counts

4 → 312

Calls

Call 1

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

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

simplify142.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-l`
1224×	`associate-r`
1200×	`associate-/r*`
754×	`associate-*r/`
732×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	667	8754
1	1949	8302

Stop Event

1×	node limit

Counts

360 → 421

Calls

Call 1

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

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

eval170.0ms (8.7%)

Compiler: Compiled 8361 to 6035 computations (27.8% saved)

prune116.0ms (5.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	420	1	421
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	421	4	425

Error

Counts

425 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	0.0b	(+.f64 x -1/3)
	31.1b	x
	31.9b	-1/3

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`add-sqr-sqrt`
1894×	`*-un-lft-identity`
1792×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	200	26
2	2422	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

804×	`unswap-sqr`
704×	`associate-*r/`
586×	`distribute-lft-in`
558×	`distribute-rgt-in`
514×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1089
1	372	1081
2	1386	1067
3	6309	1067

Stop Event

1×	node limit

Counts

77 → 92

Calls

Call 1

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

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

eval90.0ms (4.6%)

Compiler: Compiled 4313 to 3336 computations (22.7% saved)

prune58.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	245	4	249

Error

Counts

249 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.2b	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	0.0b	(+.f64 x -1/3)
	31.1b	x
	31.9b	-1/3

Compiler

Compiled 16 to 13 computations (18.8% saved)

eval0.0ms (0%)

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

prune44.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.2b	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	0.0b	(+.f64 x -1/3)
	31.1b	x
	31.9b	-1/3

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/3)

Calls

2 calls:

5.0ms	x
3.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 36 to 27 computations (25% saved)

regimes9.0ms (0.4%)

Accuracy

Total -60.8b remaining (-5611.3%)

Threshold costs -60.8b (-5611.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch25.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.034083242380540064	8.603486561744598
15.0ms	-3.8991291440419467	-4.1489912418280465e-13

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 112 to 93 computations (17% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x -1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 5764607523034235/18014398509481984) -1/3 x))
-1/3

Outputs
(+.f64 x -1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 5764607523034235/18014398509481984) -1/3 x))
-1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness15.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end42.0ms (2.1%)

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

Details

analyze36.0ms (1.9%)

sample690.0ms (35.2%)

preprocess6.0ms (0.3%)

simplify12.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite86.0ms (4.4%)

simplify47.0ms (2.4%)

eval8.0ms (0.4%)

prune5.0ms (0.3%)

localize40.0ms (2%)

series2.0ms (0.1%)

rewrite130.0ms (6.6%)

simplify142.0ms (7.2%)

eval170.0ms (8.7%)

prune116.0ms (5.9%)

localize11.0ms (0.5%)

series1.0ms (0.1%)

rewrite67.0ms (3.4%)

simplify90.0ms (4.6%)

eval90.0ms (4.6%)

prune58.0ms (3%)

eval0.0ms (0%)

prune44.0ms (2.2%)

regimes10.0ms (0.5%)

regimes9.0ms (0.4%)

bsearch25.0ms (1.3%)

simplify4.0ms (0.2%)

soundness15.0ms (0.8%)

end42.0ms (2.1%)

Profiling