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)

sample673.0ms (31.1%)

Results

655.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.7%)

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)

simplify7.0ms (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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	91	4
2	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 (1.6%)

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)

eval8.0ms (0.4%)

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

prune11.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Error

Counts

39 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	0.0b	(+.f64 x -1/3)
▶	14.1b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
	35.1b	x
	27.5b	-1/3

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x 1/3))
✓	0.0b	(+.f64 x 1/3)
✓	13.1b	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`pow1_binary64`
848×	`add-log-exp_binary64`
848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	194	15
2	2373	15

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

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

Outputs

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

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

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

simplify44.0ms (2%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-/l*_binary64`
410×	`fma-def_binary64`
372×	`associate-*l/_binary64`
336×	`associate-*r/_binary64`
300×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	1225
1	502	1102
2	2023	1003

Stop Event

1×	node limit

Counts

125 → 138

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

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)
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1/3
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x
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(log.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x 1/3)) 0)
(/.f64 1 (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x 1/3)) 0)
(/.f64 1 (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x 1/3)) 0)
(/.f64 1 (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x 1/3)) 0)
(/.f64 1 (+.f64 x 1/3))
(exp.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x 1/3)) 0)
(/.f64 1 (+.f64 x 1/3))

localize13.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 1/3)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	13.1b	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

143 → 166

Calls

Call 1

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

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

eval136.0ms (6.3%)

Compiler: Compiled 4599 to 3451 computations (25% saved)

prune111.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	347	2	349
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	349	5	354

Error

Counts

354 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
▶	14.1b	(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
✓	0.0b	(+.f64 x -1/3)
	35.1b	x
	27.5b	-1/3

Compiler

Compiled 34 to 27 computations (20.6% saved)

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 1/3)
	0.0b	(/.f64 1 (+.f64 x 1/3))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9)
✓	13.2b	(.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x))

Compiler

Compiled 49 to 34 computations (30.6% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`log-prod_binary64`
370×	`prod-exp_binary64`
352×	`exp-prod_binary64`
274×	`pow-prod-down_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	215	17
2	2626	17

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/9 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (+.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 -1/9 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1/3) -1/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))))) (sqrt.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))) 1) 1))))))

simplify62.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

490×	`log-prod_binary64`
417×	`fma-def_binary64`
400×	`associate-l_binary64`
370×	`associate-r_binary64`
234×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	1312
1	642	1279
2	1481	1277
3	6476	1263

Stop Event

1×	node limit

Counts

114 → 155

Calls

Call 1

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

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

localize24.0ms (1.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify51.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
619×	`fma-def_binary64`
345×	`associate-/l/_binary64`
302×	`associate-l_binary64`
273×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	515
1	264	447
2	736	393
3	3338	385
4	7889	385

Stop Event

1×	node limit

Counts

34 → 59

Calls

Call 1

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

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

eval221.0ms (10.2%)

Compiler: Compiled 8226 to 6012 computations (26.9% saved)

prune79.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	407	1	408
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	408	5	413

Error

Counts

413 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
▶	27.7b	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
✓	0.0b	(+.f64 x -1/3)
	35.1b	x
	27.5b	-1/3

Compiler

Compiled 30 to 24 computations (20% saved)

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 29 computations (31% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1127×	`log-prod_binary64`
440×	`associate-l_binary64`
387×	`associate-r_binary64`
335×	`associate-+l+_binary64`
304×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	182
1	107	182
2	389	182
3	3098	182
4	6859	182

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

eval59.0ms (2.7%)

Compiler: Compiled 3065 to 2168 computations (29.3% saved)

prune24.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	172	5	177

Error

Counts

177 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.7b	(/.f64 1 (-.f64 (*.f64 -9 x) 3))
✓	27.7b	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
✓	0.0b	(+.f64 x -1/3)
	35.1b	x
	27.5b	-1/3

Compiler

Compiled 30 to 24 computations (20% saved)

regimes13.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/3)

Calls

2 calls:

5.0ms	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 76 to 56 computations (26.3% saved)

regimes10.0ms (0.4%)

Accuracy

Total -60.9b remaining (-7056.6%)

Threshold costs -60.9b (-7056.6%)

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)

bsearch29.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.04382337939805789	28016.70048433378
14.0ms	-8149.905067817596	-8.041519522024171e-10

Results

23.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 22 to 18 computations (18.2% saved)

end22.0ms (1%)

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

Details

analyze3.0ms (0.1%)

sample673.0ms (31.1%)

preprocess15.0ms (0.7%)

simplify7.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series1.0ms (0%)

rewrite37.0ms (1.7%)

simplify34.0ms (1.6%)

eval8.0ms (0.4%)

prune11.0ms (0.5%)

localize12.0ms (0.5%)

series4.0ms (0.2%)

rewrite77.0ms (3.6%)

simplify44.0ms (2%)

localize13.0ms (0.6%)

series2.0ms (0.1%)

rewrite73.0ms (3.4%)

simplify71.0ms (3.3%)

eval136.0ms (6.3%)

prune111.0ms (5.1%)

localize17.0ms (0.8%)

series3.0ms (0.1%)

rewrite61.0ms (2.8%)

simplify62.0ms (2.9%)

localize24.0ms (1.1%)

series1.0ms (0%)

rewrite45.0ms (2.1%)

simplify51.0ms (2.4%)

eval221.0ms (10.2%)

prune79.0ms (3.7%)

localize17.0ms (0.8%)

series1.0ms (0.1%)

rewrite37.0ms (1.7%)

simplify43.0ms (2%)

eval59.0ms (2.7%)

prune24.0ms (1.1%)

regimes13.0ms (0.6%)

regimes10.0ms (0.4%)

bsearch29.0ms (1.3%)

simplify3.0ms (0.1%)

soundness7.0ms (0.3%)

end22.0ms (1%)

Profiling