Details

analyze4.0ms (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)

sample2.4s (49.3%)

Results

2.4s

8256×

body

256

valid

Bogosity

preprocess29.0ms (0.6%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

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)

localize4.0ms (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 → 3

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)

rewrite320.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational.json-5`
870×	`exponential.json-3`
870×	`rational.json-1`
870×	`rational.json-2`
870×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	41	7
2	138	7
3	477	7
4	1725	7
5	7493	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(-.f64 x 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 1/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (/.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 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/3 x) (.f64 (-.f64 1/3 x) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (-.f64 x 1/3)) (.f64 (fabs.f64 (-.f64 x 1/3)) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (.f64 (.f64 (-.f64 x 1/3) (/.f64 1 (-.f64 x 1/3))) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (/.f64 1 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1/3 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 1/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (/.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 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (-.f64 x 1/3)) (*.f64 (fabs.f64 (-.f64 x 1/3)) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (*.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (*.f64 (*.f64 (-.f64 x 1/3) (/.f64 1 (-.f64 x 1/3))) (/.f64 1 (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (*.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1/3 x))))))

simplify307.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational.json-simplify-111`
942×	`rational.json-simplify-47`
854×	`exponential.json-simplify-26`
704×	`rational.json-simplify-2`
652×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	185
1	112	185
2	246	185
3	881	185
4	3614	185
5	7364	185

Stop Event

1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
-1/3
x
x
(+.f64 (-.f64 x 1/3) 0)
(+.f64 0 (-.f64 x 1/3))
(+.f64 (-.f64 1 (-.f64 1/3 x)) -1)
(*.f64 (-.f64 x 1/3) 1)
(*.f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (/.f64 1 (-.f64 x 1/3))))
(*.f64 1 (-.f64 x 1/3))
(*.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3))
(*.f64 (-.f64 1/3 x) -1)
(.f64 (-.f64 1/3 x) (.f64 (-.f64 1/3 x) (/.f64 1 (-.f64 x 1/3))))
(.f64 (fabs.f64 (-.f64 x 1/3)) (.f64 (fabs.f64 (-.f64 x 1/3)) (/.f64 1 (-.f64 x 1/3))))
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3)))
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (*.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3))))
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (.f64 (.f64 (-.f64 x 1/3) (/.f64 1 (-.f64 x 1/3))) (/.f64 1 (-.f64 x 1/3))))
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3)))
(.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(.f64 (.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (-.f64 x 1/3)))
(.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))))
(.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) 1))
(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))
(.f64 (.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))))))
(/.f64 (-.f64 x 1/3) 1)
(/.f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(/.f64 (-.f64 1/3 x) -1)
(pow.f64 (-.f64 x 1/3) 1)
(neg.f64 (-.f64 1/3 x))

Outputs
-1/3
x
x
(+.f64 (-.f64 x 1/3) 0)
(-.f64 x 1/3)
(+.f64 0 (-.f64 x 1/3))
(-.f64 x 1/3)
(+.f64 (-.f64 1 (-.f64 1/3 x)) -1)
(-.f64 x 1/3)
(*.f64 (-.f64 x 1/3) 1)
(-.f64 x 1/3)
(*.f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(-.f64 x 1/3)
(.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (/.f64 1 (-.f64 x 1/3))))
(-.f64 x 1/3)
(*.f64 1 (-.f64 x 1/3))
(-.f64 x 1/3)
(*.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3))
(-.f64 x 1/3)
(*.f64 (-.f64 1/3 x) -1)
(-.f64 x 1/3)
(.f64 (-.f64 1/3 x) (.f64 (-.f64 1/3 x) (/.f64 1 (-.f64 x 1/3))))
(-.f64 x 1/3)
(.f64 (fabs.f64 (-.f64 x 1/3)) (.f64 (fabs.f64 (-.f64 x 1/3)) (/.f64 1 (-.f64 x 1/3))))
(-.f64 x 1/3)
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3)))
(-.f64 x 1/3)
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (*.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 1 (-.f64 x 1/3))))
(-.f64 x 1/3)
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (.f64 (.f64 (-.f64 x 1/3) (/.f64 1 (-.f64 x 1/3))) (/.f64 1 (-.f64 x 1/3))))
(-.f64 x 1/3)
(.f64 (.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (-.f64 x 1/3)))
(-.f64 x 1/3)
(.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(-.f64 x 1/3)
(.f64 (.f64 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (-.f64 x 1/3)))
(-.f64 x 1/3)
(.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))))
(-.f64 x 1/3)
(.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) 1))
(-.f64 x 1/3)
(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))
(-.f64 x 1/3)
(.f64 (.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))))))
(-.f64 x 1/3)
(/.f64 (-.f64 x 1/3) 1)
(-.f64 x 1/3)
(/.f64 (-.f64 x 1/3) (/.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
(-.f64 x 1/3)
(/.f64 (-.f64 1/3 x) -1)
(-.f64 x 1/3)
(pow.f64 (-.f64 x 1/3) 1)
(-.f64 x 1/3)
(neg.f64 (-.f64 1/3 x))
(-.f64 x 1/3)

eval15.0ms (0.3%)

Compiler: Compiled 399 to 305 computations (23.6% saved)

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Error

0.0b

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x 1/3)
▶	26.1b	(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))
	28.9b	x
	34.3b	-1/3

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize263.0ms (5.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
✓	0.0b	(.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x))))
✓	0.1b	(.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (-.f64 1/3 x)))
✓	25.3b	(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))

Compiler

Compiled 90 to 67 computations (25.6% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite180.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`rational.json-simplify-47`
912×	`rational.json-simplify-55`
752×	`rational.json-simplify-43`
614×	`rational.json-5`
612×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	196
1	113	196
2	363	196
3	1359	118
4	6360	118

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (-.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1/3) (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1/3 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))))
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simplify432.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational.json-simplify-2`
1260×	`rational.json-simplify-111`
834×	`rational.json-simplify-47`
806×	`rational.json-simplify-54`
778×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	293	5167
1	621	5151
2	1164	5151
3	3459	5151

Stop Event

1×	node limit

Counts

155 → 172

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)
-1/27
(-.f64 (*.f64 1/3 x) 1/27)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 x)) 1/27)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3))) 1/27)
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3))) 1/27)
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3))) 1/27)
1/81
(+.f64 (*.f64 -4/27 x) 1/81)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) 1/81))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (+.f64 1/81 (*.f64 -4/3 (pow.f64 x 3)))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (.f64 -4/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (+.f64 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (.f64 -4/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (+.f64 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))))
-27
(-.f64 (*.f64 -243 x) 27)
(-.f64 (+.f64 (.f64 -1458 (pow.f64 x 2)) (.f64 -243 x)) 27)
(-.f64 (+.f64 (.f64 -7290 (pow.f64 x 3)) (+.f64 (.f64 -1458 (pow.f64 x 2)) (*.f64 -243 x))) 27)
(/.f64 1 (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2/3 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 5))) (.f64 10/27 (/.f64 1 (pow.f64 x 6))))))
(/.f64 1 (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2/3 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 5))) (.f64 10/27 (/.f64 1 (pow.f64 x 6))))))
(+.f64 1 (-.f64 x 4/3))
(+.f64 (-.f64 x 1/3) 0)
(+.f64 0 (-.f64 x 1/3))
(+.f64 (-.f64 x 4/3) 1)
(-.f64 x 1/3)
(-.f64 (-.f64 x 1/3) 0)
(-.f64 0 (-.f64 1/3 x))
(-.f64 (-.f64 0 (-.f64 -1 (-.f64 x 1/3))) 1)
(/.f64 (-.f64 x 1/3) 1)
(/.f64 (-.f64 x 1/3) (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(/.f64 (-.f64 1/3 x) -1)
(pow.f64 (-.f64 x 1/3) 1)
(neg.f64 (-.f64 1/3 x))
(+.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)
(+.f64 0 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))
(-.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)
(-.f64 0 (neg.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))) 1)
(/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)
(/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(pow.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)
(neg.f64 (neg.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(+.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) 0)
(+.f64 0 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(-.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) 0)
(-.f64 0 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))) 1)
(/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) 1)
(/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(pow.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) 1)
(neg.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(fabs.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(fabs.f64 (.f64 (-.f64 1/3 x) (.f64 (-.f64 1/3 x) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))
(fabs.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(fabs.f64 (.f64 (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3)))) (-.f64 x 1/3)))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(fabs.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (-.f64 x 1/3) (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3))))))
(fabs.f64 (.f64 (-.f64 x 1/3) (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))))
(fabs.f64 (.f64 (-.f64 1/3 x) (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (-.f64 1/3 x) (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3))))))
(fabs.f64 (.f64 (-.f64 1/3 x) (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x 1/3)) (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 x 1/3)) (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(fabs.f64 (.f64 (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))))
(fabs.f64 (.f64 (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(fabs.f64 (.f64 (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))))
(fabs.f64 (.f64 (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(fabs.f64 (.f64 (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(fabs.f64 (.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (-.f64 x 1/3))))
(fabs.f64 (.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (-.f64 x 1/3)))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (-.f64 1/3 x)))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (fabs.f64 (-.f64 x 1/3))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3)))) (-.f64 1/3 x)))
(fabs.f64 (.f64 (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3)))) (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (.f64 (-.f64 1/3 x) (*.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3)))) (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))) (-.f64 x 1/3)))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))) (-.f64 1/3 x)))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))) (fabs.f64 (-.f64 x 1/3))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))) (/.f64 (-.f64 x 1/3) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))) (/.f64 (-.f64 1/3 x) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (-.f64 x 1/3) (fabs.f64 (-.f64 x 1/3)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 1/3 x) 2) (*.f64 (fabs.f64 (-.f64 x 1/3)) 2))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 x 1/3) 2) (*.f64 (fabs.f64 (-.f64 x 1/3)) 2))))
(fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (neg.f64 (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))
(fabs.f64 (-.f64 0 (.f64 (-.f64 1/3 x) (.f64 (-.f64 1/3 x) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))))
(+.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)
(+.f64 0 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))
(-.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)
(-.f64 0 (neg.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))) 1)
(.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))
(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)
(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) 1))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(pow.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)
(neg.f64 (neg.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))

Outputs
-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)
-1/27
(-.f64 (*.f64 1/3 x) 1/27)
(-.f64 (*.f64 x 1/3) 1/27)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 x)) 1/27)
(-.f64 (+.f64 (.f64 x 1/3) (.f64 -1 (pow.f64 x 2))) 1/27)
(-.f64 (+.f64 (*.f64 x 1/3) (neg.f64 (pow.f64 x 2))) 1/27)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3))) 1/27)
(-.f64 (+.f64 (.f64 x 1/3) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))) 1/27)
(-.f64 (+.f64 (*.f64 x 1/3) (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3))) 1/27)
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3)))
(+.f64 (.f64 x 1/3) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 x 1/3) (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3))) 1/27)
(-.f64 (+.f64 (.f64 x 1/3) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))) 1/27)
(-.f64 (+.f64 (*.f64 x 1/3) (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3))) 1/27)
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3)))
(+.f64 (.f64 x 1/3) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 x 1/3) (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (pow.f64 x 3))) 1/27)
(-.f64 (+.f64 (.f64 x 1/3) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))) 1/27)
(-.f64 (+.f64 (*.f64 x 1/3) (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3))) 1/27)
1/81
(+.f64 (*.f64 -4/27 x) 1/81)
(+.f64 1/81 (*.f64 x -4/27))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) 1/81))
(+.f64 (+.f64 1/81 (.f64 x -4/27)) (.f64 (pow.f64 x 2) 2/3))
(+.f64 1/81 (+.f64 (.f64 (pow.f64 x 2) 2/3) (.f64 x -4/27)))
(+.f64 1/81 (+.f64 (.f64 x -4/27) (.f64 (pow.f64 x 2) 2/3)))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (+.f64 1/81 (*.f64 -4/3 (pow.f64 x 3)))))
(+.f64 (.f64 x -4/27) (+.f64 (+.f64 1/81 (.f64 (pow.f64 x 3) -4/3)) (*.f64 (pow.f64 x 2) 2/3)))
(+.f64 (.f64 x -4/27) (+.f64 (.f64 (pow.f64 x 2) 2/3) (+.f64 1/81 (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 1/81 (+.f64 (.f64 (pow.f64 x 2) 2/3) (+.f64 (.f64 x -4/27) (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 1/81 (+.f64 (.f64 x -4/27) (+.f64 (.f64 (pow.f64 x 2) 2/3) (*.f64 (pow.f64 x 3) -4/3))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 x 3) -4/3) (pow.f64 x 4))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (.f64 -4/3 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) 2/3) (+.f64 (.f64 (pow.f64 x 3) -4/3) (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 3) -4/3) (+.f64 (.f64 (pow.f64 x 2) 2/3) (pow.f64 x 4)))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (+.f64 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 x 2) 2/3) (+.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -4/3) (*.f64 x -4/27))))
(+.f64 (.f64 (pow.f64 x 2) 2/3) (+.f64 (.f64 (pow.f64 x 3) -4/3) (+.f64 (pow.f64 x 4) (*.f64 x -4/27))))
(+.f64 (.f64 x -4/27) (+.f64 (.f64 (pow.f64 x 2) 2/3) (+.f64 (*.f64 (pow.f64 x 3) -4/3) (pow.f64 x 4))))
(+.f64 (.f64 x -4/27) (+.f64 (.f64 (pow.f64 x 3) -4/3) (+.f64 (*.f64 (pow.f64 x 2) 2/3) (pow.f64 x 4))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 x 3) -4/3) (pow.f64 x 4))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (.f64 -4/3 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) 2/3) (+.f64 (.f64 (pow.f64 x 3) -4/3) (pow.f64 x 4)))
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(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (neg.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (-.f64 1/3 x) (fabs.f64 (-.f64 x 1/3)))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (-.f64 x 1/3) (fabs.f64 (-.f64 x 1/3)))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 1/3 x) 2) (*.f64 (fabs.f64 (-.f64 x 1/3)) 2))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 2 (-.f64 1/3 x)) (*.f64 2 (fabs.f64 (-.f64 1/3 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (.f64 2 (-.f64 1/3 x)) (*.f64 2 (fabs.f64 (-.f64 1/3 x))))))
(fabs.f64 (/.f64 (.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (-.f64 1/3 x)))) (/.f64 (.f64 2 (-.f64 1/3 x)) (*.f64 2 (fabs.f64 (-.f64 1/3 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (/.f64 (.f64 (-.f64 x 1/3) 2) (*.f64 (fabs.f64 (-.f64 x 1/3)) 2))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (neg.f64 (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(fabs.f64 (-.f64 0 (.f64 (-.f64 1/3 x) (.f64 (-.f64 1/3 x) (/.f64 (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (fabs.f64 (/.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 1/3 x)) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x)))
(.f64 (.f64 (-.f64 x 1/3) (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (-.f64 1/3 x) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 x 1/3) (-.f64 1/3 x))))
(+.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(+.f64 0 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(-.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 0)
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(-.f64 0 (neg.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))))) 1)
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) 1))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3)))) (.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))) (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 x 1/3) (-.f64 x 1/3))))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(pow.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3))) 1)
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))
(neg.f64 (neg.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))))
(/.f64 (/.f64 1 (-.f64 x 1/3)) (*.f64 (-.f64 x 1/3) (-.f64 x 1/3)))

eval547.0ms (11.1%)

Compiler: Compiled 5720 to 4448 computations (22.2% saved)

prune36.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	172	4	176

Error

0.0b

Counts

176 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x 1/3)
✓	26.1b	(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))
	28.9b	x
	34.3b	-1/3

Compiler

Compiled 38 to 29 computations (23.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x 1/3)
✓	26.1b	(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))
	28.9b	x
	34.3b	-1/3

Compiler

Compiled 38 to 29 computations (23.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x 1/3)
✓	26.1b	(.f64 (/.f64 (/.f64 1 (-.f64 x 1/3)) (.f64 (-.f64 1/3 x) (-.f64 1/3 x))) (.f64 (-.f64 x 1/3) (.f64 (-.f64 x 1/3) (*.f64 (-.f64 1/3 x) (-.f64 1/3 x)))))
	28.9b	x
	34.3b	-1/3

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes16.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 x 1/3)

Calls

2 calls:

8.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 48 to 36 computations (25% saved)

regimes14.0ms (0.3%)

Accuracy

Total -60.3b remaining (-4091.9%)

Threshold costs -60.3b (-4091.9%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch39.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.0007108001869681506	2.397167733842667
19.0ms	-0.7519943825583358	-0.0001306704188855252

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 106 to 88 computations (17% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness24.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end160.0ms (3.3%)

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

Details

analyze4.0ms (0.1%)

sample2.4s (49.3%)

preprocess29.0ms (0.6%)

simplify83.0ms (1.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite320.0ms (6.5%)

simplify307.0ms (6.2%)

eval15.0ms (0.3%)

prune12.0ms (0.2%)

localize263.0ms (5.3%)

series4.0ms (0.1%)

rewrite180.0ms (3.7%)

simplify432.0ms (8.7%)

eval547.0ms (11.1%)

prune36.0ms (0.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes16.0ms (0.3%)

regimes14.0ms (0.3%)

bsearch39.0ms (0.8%)

simplify3.0ms (0.1%)

soundness24.0ms (0.5%)

end160.0ms (3.3%)

Profiling