Details

analyze3.0ms (0.2%)

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)

sample942.0ms (60.5%)

Results

932.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (1%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	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 (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	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)

eval1.0ms (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

0.01%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(+.f64 x 1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.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)

rewrite76.0ms (4.9%)

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	1384	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 (3%)

Algorithm

1×	egg-herbie

Rules

1222×	`distribute-lft-in`
1102×	`distribute-rgt-in`
1036×	`associate-/l*`
914×	`associate-r`
778×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	191	586
2	694	490
3	3237	490

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 (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 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 (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 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)) (/.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 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 (+.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 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 (+.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 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 (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 (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)

eval7.0ms (0.5%)

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

prune6.0ms (0.4%)

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
▶	0.76%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	0.01%	(+.f64 x 1/3)
	47.16%	x
	51.83%	1/3

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(+.f64 x 1/3)
✓	0.02%	(+.f64 1 (+.f64 x 1/3))
✓	0.76%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1850×	`add-cube-cbrt`
1840×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	188	14
2	2634	14

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

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

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

simplify59.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac`
760×	`unswap-sqr`
588×	`associate--r+`
572×	`associate-/l*`
564×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2077
1	520	1889
2	2393	1869

Stop Event

1×	node limit

Counts

117 → 121

Calls

Call 1

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

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

eval43.0ms (2.8%)

Compiler: Compiled 1873 to 1535 computations (18% saved)

prune32.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	158	4	162

Error

Counts

162 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.77%	(-.f64 (+.f64 x 4/3) 1)
✓	0.01%	(+.f64 x 1/3)
	47.16%	x
	51.83%	1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(+.f64 x 4/3)
✓	0.76%	(-.f64 (+.f64 x 4/3) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

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 (+.f64 x 4/3) 1)
0.0ms	x	@	inf	(+.f64 x 4/3)
0.0ms	x	@	0	(+.f64 x 4/3)

rewrite59.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1552×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
152×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	159	14
2	2038	14

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (/.f64 1 (+.f64 x 7/3)))))) (#(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 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 x 7/3) (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (+.f64 x 7/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (-.f64 (+.f64 x 4/3) -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 x 7/3)))))) (#(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 (*.f64 x x) 1/9) (-.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 (neg.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))) (neg.f64 (+.f64 x 7/3)))))) (#(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 x 7/3))))))) (#(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 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 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))))) (#(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 1 (+.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 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 -.f64 (+.f64 x 7/3) 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 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/9) (/.f64 1 (+.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 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))))) (#(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 (fma.f64 x x -16/9) (+.f64 x -4/3))))) (#(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 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 16/9 (*.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 /.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.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 pow.f64 (+.f64 x 4/3) 1)))) (#(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 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(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 log.f64 (+.f64 1 (expm1.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 (log.f64 (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (sqrt.f64 x) (sqrt.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)))))

simplify53.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1036×	`times-frac`
864×	`fma-def`
728×	`unswap-sqr`
634×	`associate-/r*`
592×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1374
1	405	1308
2	1826	1192

Stop Event

1×	node limit

Counts

102 → 93

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

eval24.0ms (1.6%)

Compiler: Compiled 934 to 734 computations (21.4% saved)

prune11.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Error

Counts

97 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.77%	(-.f64 (+.f64 x 4/3) 1)
✓	0.01%	(+.f64 x 1/3)
	47.16%	x
	51.83%	1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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
✓	0.77%	(-.f64 (+.f64 x 4/3) 1)
✓	0.01%	(+.f64 x 1/3)
	47.16%	x
	51.83%	1/3

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes12.0ms (0.8%)

Counts

6 → 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)

Outputs
(+.f64 x 1/3)

Calls

2 calls:

8.0ms	x
3.0ms	(+.f64 x (/.f64 1 3))

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`(+.f64 x (/.f64 1 3))`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes9.0ms (0.6%)

Accuracy

Total -60b remaining (-3595.1%)

Threshold costs -60b (-3595.1%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
2.61%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch26.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.003812353611344266	53466314.82595385
13.0ms	-266.34670703620935	-2.4190180293272645e-5

Results

23.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify4.0ms (0.3%)

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 6034823500676465/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 6034823500676465/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness12.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end18.0ms (1.2%)

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

Details

analyze3.0ms (0.2%)

sample942.0ms (60.5%)

preprocess15.0ms (1%)

simplify12.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.2%)

series0.0ms (0%)

rewrite76.0ms (4.9%)

simplify47.0ms (3%)

eval7.0ms (0.5%)

prune6.0ms (0.4%)

localize7.0ms (0.5%)

series0.0ms (0%)

rewrite69.0ms (4.4%)

simplify59.0ms (3.8%)

eval43.0ms (2.8%)

prune32.0ms (2%)

localize5.0ms (0.3%)

series0.0ms (0%)

rewrite59.0ms (3.8%)

simplify53.0ms (3.4%)

eval24.0ms (1.6%)

prune11.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes12.0ms (0.8%)

regimes9.0ms (0.6%)

bsearch26.0ms (1.7%)

simplify4.0ms (0.3%)

soundness12.0ms (0.8%)

end18.0ms (1.2%)

Profiling