Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample765.0ms (41.8%)

Results

753.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

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)

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

Outputs

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

simplify34.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 38

Calls

Call 1

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

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

eval11.0ms (0.6%)

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

prune5.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Error

Counts

39 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.1b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
✓	0.0b	(+.f64 x -1/3)
	30.0b	x
	32.6b	-1/3

Compiler

Compiled 24 to 18 computations (25% saved)

localize21.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	0.0b	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))
✓	0.3b	(*.f64 x -1/3)
✓	20.3b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series5.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

rewrite116.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 342

Calls

Call 1

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

Outputs
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x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/27 (neg.f64 (pow.f64 x 3))) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) (+.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 -1/27 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) x))))) (#(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 (.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x x) (fma.f64 x -1/3 -1/9))))) (#(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 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/81 (-.f64 1/9 (.f64 x (+.f64 x 1/3)))) (/.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/9 (.f64 x (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x 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simplify162.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

390 → 411

Calls

Call 1

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

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

eval252.0ms (13.8%)

Compiler: Compiled 10109 to 6952 computations (31.2% saved)

prune64.0ms (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	410	1	411
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	411	4	415

Error

Counts

415 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x 1/3)))
✓	0.0b	(+.f64 x -1/3)
	30.0b	x
	32.6b	-1/3

Compiler

Compiled 20 to 16 computations (20% saved)

localize14.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/9 (*.f64 x 1/3))
✓	0.3b	(*.f64 x 1/3)
✓	4.2b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x 1/3)))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series3.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite61.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
299×	`pow2_binary64`
291×	`pow-prod-down_binary64`
221×	`prod-diff_binary64`
207×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	254	23
2	3167	23

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-def_binary64`
546×	`distribute-rgt-in_binary64`
527×	`distribute-lft-in_binary64`
480×	`unswap-sqr_binary64`
236×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	1556
1	646	1484
2	2167	1466

Stop Event

1×	node limit

Counts

147 → 166

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 18 (pow.f64 x 3)) x)) 1/3)
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x))) (*.f64 2/9 (/.f64 1 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x))) (*.f64 2/9 (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 0 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))) 1)
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x 1/3 1/9)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)) 1)
(*.f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x 1/3 1/9))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x 1/3 1/9))))
(*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (neg.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) (+.f64 -1/27 (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x 1/3 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x 1/3 1/9)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) -2) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (pow.f64 (fma.f64 x 1/3 1/9) -1/2) (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (sqrt.f64 (fma.f64 x 1/3 1/9))) (/.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x 1/3 1/9))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) 1/27 1/729)) (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (.f64 -1/3 x)))
(pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/3 1/9) (+.f64 -1/27 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x 1/3 1/9) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x 1/3 1/9) (+.f64 -1/27 (pow.f64 x 3))) 1) -1)
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (neg.f64 (fma.f64 x 1/3 1/9))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1/27 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x 1/3 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1/3 1/9) (+.f64 -1/27 (pow.f64 x 3)))) -1))
(+.f64 0 (*.f64 x 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (.f64 1/9 (.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (cbrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/3))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/3))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/3))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/3 1/9))) 1)
(-.f64 (/.f64 1/81 (+.f64 1/9 (.f64 -1/3 x))) (/.f64 (.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 -1/3 x))))
(*.f64 (fma.f64 x 1/3 1/9) 1)
(*.f64 1 (fma.f64 x 1/3 1/9))
(*.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2) (cbrt.f64 (fma.f64 x 1/3 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x 1/3 1/9)) (sqrt.f64 (fma.f64 x 1/3 1/9)))
(.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729) (/.f64 1 (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81)))
(.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (/.f64 1 (+.f64 1/9 (.f64 -1/3 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81) (fma.f64 (pow.f64 x 3) 1/27 1/729)))
(/.f64 1 (/.f64 (+.f64 1/9 (.f64 -1/3 x)) (-.f64 1/81 (.f64 1/9 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729) (fma.f64 1/9 (.f64 x x) (-.f64 1/81 (.f64 1/27 x))))
(/.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (+.f64 1/9 (*.f64 -1/3 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (neg.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (neg.f64 (+.f64 1/9 (*.f64 -1/3 x))))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x 1/3 -1/9))
(pow.f64 (fma.f64 x 1/3 1/9) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/3 1/9) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/3 1/9)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81) (fma.f64 (pow.f64 x 3) 1/27 1/729)) -1)
(pow.f64 (/.f64 (+.f64 1/9 (.f64 -1/3 x)) (-.f64 1/81 (.f64 1/9 (*.f64 x x)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/3 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x 1/3 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/3 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/3 1/9)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/3 1/9)))
(exp.f64 (log.f64 (fma.f64 x 1/3 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 1/9)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/3 1/9))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/3 1/9))) 2))
(fma.f64 x 1/3 1/9)
(fma.f64 1/3 x 1/9)
(fma.f64 (*.f64 x 1/3) 1 1/9)
(fma.f64 1 (*.f64 x 1/3) 1/9)
(fma.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) 1/9)
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/9)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(-.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 -1/3 (fma.f64 (*.f64 -3 x) x x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 18 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 18 (pow.f64 x 3) x)) -1/3)
(+.f64 -1/3 (fma.f64 -3 (*.f64 x x) (fma.f64 18 (pow.f64 x 3) x)))
(+.f64 (fma.f64 18 (pow.f64 x 3) x) (fma.f64 x (*.f64 x -3) -1/3))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 3 (*.f64 x x) (neg.f64 x))
(fma.f64 (*.f64 x x) 3 (neg.f64 x))
(fma.f64 x (*.f64 x 3) (neg.f64 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (neg.f64 x)))
(fma.f64 (*.f64 x x) 3 (-.f64 1/3 x))
(fma.f64 x (*.f64 x 3) (-.f64 1/3 x))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x))) (*.f64 2/9 (/.f64 1 x)))
(-.f64 (fma.f64 3 (*.f64 x x) (+.f64 1/3 (neg.f64 x))) (/.f64 2/9 x))
(+.f64 (fma.f64 (*.f64 x x) 3 (-.f64 1/3 x)) (/.f64 -2/9 x))
(+.f64 (-.f64 1/3 x) (fma.f64 x (*.f64 x 3) (/.f64 -2/9 x)))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 3 (*.f64 x x) (neg.f64 x))
(fma.f64 (*.f64 x x) 3 (neg.f64 x))
(fma.f64 x (*.f64 x 3) (neg.f64 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (neg.f64 x)))
(fma.f64 (*.f64 x x) 3 (-.f64 1/3 x))
(fma.f64 x (*.f64 x 3) (-.f64 1/3 x))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x))) (*.f64 2/9 (/.f64 1 x)))
(-.f64 (fma.f64 3 (*.f64 x x) (+.f64 1/3 (neg.f64 x))) (/.f64 2/9 x))
(+.f64 (fma.f64 (*.f64 x x) 3 (-.f64 1/3 x)) (/.f64 -2/9 x))
(+.f64 (-.f64 1/3 x) (fma.f64 x (*.f64 x 3) (/.f64 -2/9 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 1/3 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 x 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)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 0 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)) 1)
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(*.f64 1 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) 2))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x 1/3 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x 1/3 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x 1/3 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))
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(fma.f64 x 1/3 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 1/9)) 1))
(fma.f64 x 1/3 1/9)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3)) 1/3))
(fma.f64 x 1/3 1/9)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/3 1/9))) 3))
(fma.f64 x 1/3 1/9)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/3 1/9))) 2))
(fma.f64 x 1/3 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 1/3 x 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (*.f64 x 1/3) 1 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 1 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(fma.f64 x 1/3 1/9)

eval59.0ms (3.2%)

Compiler: Compiled 2539 to 2029 computations (20.1% saved)

prune20.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	166	4	170

Error

Counts

170 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.9b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x 1/3)))
✓	0.0b	(+.f64 x -1/3)
	30.0b	x
	32.6b	-1/3

Compiler

Compiled 20 to 16 computations (20% saved)

eval0.0ms (0%)

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

prune2.0ms (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
✓	32.9b	(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (*.f64 x 1/3)))
✓	0.0b	(+.f64 x -1/3)
	30.0b	x
	32.6b	-1/3

Compiler

Compiled 20 to 16 computations (20% 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 (+.f64 -1/27 (pow.f64 x 3)) (+.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))))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

4.0ms	x
4.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes10.0ms (0.5%)

Accuracy

Total -60.9b remaining (-7040.2%)

Threshold costs -60.9b (-7040.2%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch53.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.020493038726382713	2023682.9639126786
15.0ms	-2814115.056018352	-3.6517588882029367e-16

Results

49.0ms

320×

body

256

valid

Compiler

Compiled 130 to 108 computations (16.9% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -1/3 x))
-1/3

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 22 to 18 computations (18.2% saved)

end23.0ms (1.2%)

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

Details

analyze3.0ms (0.1%)

sample765.0ms (41.8%)

preprocess15.0ms (0.8%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

series1.0ms (0.1%)

rewrite37.0ms (2%)

simplify34.0ms (1.9%)

eval11.0ms (0.6%)

prune5.0ms (0.3%)

localize21.0ms (1.2%)

series5.0ms (0.3%)

rewrite116.0ms (6.4%)

simplify162.0ms (8.9%)

eval252.0ms (13.8%)

prune64.0ms (3.5%)

localize14.0ms (0.8%)

series3.0ms (0.2%)

rewrite61.0ms (3.3%)

simplify60.0ms (3.3%)

eval59.0ms (3.2%)

prune20.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.5%)

regimes10.0ms (0.5%)

bsearch53.0ms (2.9%)

simplify3.0ms (0.2%)

soundness8.0ms (0.4%)

end23.0ms (1.2%)

Profiling