Details

analyze37.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
0%	0%	50%	0.1%	0%	50%	0%	3
0%	0%	50%	0.1%	0%	50%	0%	4
25%	12.5%	37.5%	0.1%	0%	50%	0%	5
37.5%	18.7%	31.2%	0.1%	0%	50%	0%	6
56.3%	28.1%	21.9%	0.1%	0%	50%	0%	7
65.6%	32.8%	17.2%	0.1%	0%	50%	0%	8
76.2%	37.5%	11.7%	0.1%	0.8%	50%	0%	9
81.6%	39.8%	9%	0.1%	1.2%	50%	0%	10
87.4%	42.1%	6%	0.1%	1.8%	50%	0%	11
90.4%	43.3%	4.6%	0.1%	2%	50%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample947.0ms (11.9%)

Results

918.0ms	8256×	body	256	valid
18.0ms	162×	body	256	infinite

Bogosity

preprocess97.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1878×	`rational.json-simplify-35`
1148×	`rational.json-simplify-19`
924×	`rational.json-simplify-43`
900×	`rational.json-simplify-1`
776×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	82
1	50	70
2	96	70
3	173	70
4	340	70
5	678	70
6	1576	70
7	3144	70
8	5810	70
9	7296	70
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 y 9))) (/.f64 x (.f64 3 (sqrt.f64 y))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
(-.f64 (-.f64 1 (/.f64 1 (.f64 y 9))) (/.f64 x (.f64 3 (sqrt.f64 y))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 9 y))) (/.f64 x (.f64 3 (sqrt.f64 y))))
(-.f64 (-.f64 1 (/.f64 1/9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y))))
(-.f64 (-.f64 1 (/.f64 1/9 y)) (/.f64 (/.f64 x 3) (sqrt.f64 y)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational.json-simplify-61`
1118×	`rational.json-simplify-59`
1004×	`rational.json-simplify-49`
934×	`rational.json-simplify-35`
832×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	35
2	58	35
3	102	35
4	196	35
5	376	35
6	869	35
7	1718	35
8	5502	35
9	7083	35

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))

eval2.0ms (0%)

Compiler: Compiled 78 to 55 computations (29.5% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

0.1b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
▶	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
▶	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
▶	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓	0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
✓	0.3b	(*.f64 3 (sqrt.f64 x))
✓	0.4b	(/.f64 1/9 x)

Compiler

Compiled 39 to 25 computations (35.9% saved)

series8.0ms (0.1%)

Counts

4 → 27

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 y (*.f64 3 (sqrt.f64 x)))
1.0ms	y	@	0	(/.f64 y (*.f64 3 (sqrt.f64 x)))
1.0ms	x	@	-inf	(/.f64 y (*.f64 3 (sqrt.f64 x)))
1.0ms	x	@	-inf	(*.f64 3 (sqrt.f64 x))
1.0ms	x	@	0	(*.f64 3 (sqrt.f64 x))

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational.json-1`
1232×	`rational.json-2`
1232×	`rational.json-4`
1232×	`rational.json-3`
1218×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	107	70
2	273	70
3	724	70
4	1986	70
5	4642	70

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2/9 (.f64 x 4)) (/.f64 2/9 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/9 x) 2) (/.f64 (/.f64 1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/9 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 2/9 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/9 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1/9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/9 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 x) 2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 3 (sqrt.f64 x)) 2) (/.f64 (.f64 3 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 (sqrt.f64 x) 1/2)) (.f64 3 (.f64 (sqrt.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 3 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 x) 6) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 3 (sqrt.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 x) 6) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 y (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (.f64 y -1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (.f64 (sqrt.f64 x) 6)) (/.f64 y (.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2) (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (.f64 y -1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 1/3 (/.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 y (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (/.f64 1/6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 y (.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 y (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1 (.f64 (sqrt.f64 x) 12)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1 (.f64 (sqrt.f64 x) 2)) (.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (/.f64 1 (.f64 (sqrt.f64 x) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (.f64 1/2 (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 2/3) (/.f64 1 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 2/3) (.f64 3 (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 y 2) (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 (.f64 y 1/3) (/.f64 y 6)) (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (sqrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 -1 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y -1/3) (/.f64 -1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 y -1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y y) 4) (.f64 1/4 (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y (.f64 y 1/3)) (.f64 3/2 (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 2 (sqrt.f64 x))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 y (sqrt.f64 x)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (.f64 y (/.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/6 (sqrt.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y -2) (.f64 -1 (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (neg.f64 y) (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/3 (.f64 (.f64 3 y) (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1/3 (sqrt.f64 x))) (.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (/.f64 1 (sqrt.f64 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 y -1/3) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 x) 2)) (.f64 y 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 (sqrt.f64 x) 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 x)) (.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 x) 12)) (.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 3 (sqrt.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 1/6 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (-.f64 2 (/.f64 1/9 x)) (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (/.f64 1/9 x)) (-.f64 -1 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (-.f64 2 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 2 (/.f64 1/9 x)) (.f64 (/.f64 y (sqrt.f64 x)) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 2 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (-.f64 -1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (/.f64 (-.f64 1 (/.f64 1/9 x)) 2) (/.f64 y (.f64 (sqrt.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (/.f64 (-.f64 1 (/.f64 1/9 x)) 2) (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/9 x) (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (/.f64 1/9 x) (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (+.f64 (/.f64 1/9 x) -1) (/.f64 (.f64 y -1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (+.f64 (/.f64 1/9 x) -1) (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (-.f64 1 (/.f64 1/9 x)) 2) (.f64 (/.f64 y (sqrt.f64 x)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/9 x) (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) (.f64 (-.f64 1 (/.f64 1/9 x)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/9 x) (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)))))))

simplify128.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-35`
1048×	`rational.json-simplify-51`
854×	`rational.json-simplify-61`
662×	`rational.json-simplify-2`
638×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	269	4100
1	556	3930
2	1259	3894
3	3396	3894
4	6753	3714

Stop Event

1×	node limit

Counts

166 → 197

Calls

Call 1

Inputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) 0)
(+.f64 0 (/.f64 1/9 x))
(+.f64 -1 (+.f64 (/.f64 1/9 x) 1))
(+.f64 (/.f64 2/9 (.f64 x 4)) (/.f64 2/9 (.f64 x 4)))
(+.f64 (/.f64 (/.f64 1/9 x) 2) (/.f64 (/.f64 1/9 x) 2))
(-.f64 (/.f64 1/9 x) 0)
(-.f64 1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 0 (neg.f64 (/.f64 1/9 x)))
(-.f64 (+.f64 (/.f64 1/9 x) -1) -1)
(*.f64 (/.f64 1/9 x) 1)
(*.f64 1 (/.f64 1/9 x))
(.f64 2 (/.f64 2/9 (.f64 x 4)))
(*.f64 2 (/.f64 (/.f64 1/9 x) 2))
(.f64 (.f64 (/.f64 1/9 x) 2) 1/2)
(*.f64 (neg.f64 (/.f64 1/9 x)) -1)
(.f64 1/2 (.f64 (/.f64 1/9 x) 2))
(*.f64 (/.f64 (/.f64 1/9 x) 2) 2)
(pow.f64 (/.f64 1/9 x) 1)
(neg.f64 (neg.f64 (/.f64 1/9 x)))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2))
(+.f64 (*.f64 3 (sqrt.f64 x)) 0)
(+.f64 0 (*.f64 3 (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) 2) (sqrt.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 3 (sqrt.f64 x)))))
(+.f64 (/.f64 (.f64 3 (sqrt.f64 x)) 2) (/.f64 (.f64 3 (sqrt.f64 x)) 2))
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) 1/2)) (.f64 3 (.f64 (sqrt.f64 x) 1/2)))
(-.f64 (*.f64 3 (sqrt.f64 x)) 0)
(-.f64 0 (neg.f64 (*.f64 3 (sqrt.f64 x))))
(/.f64 (*.f64 3 (sqrt.f64 x)) 1)
(/.f64 (*.f64 (sqrt.f64 x) 6) 2)
(/.f64 (*.f64 (sqrt.f64 x) 12) 4)
(/.f64 (neg.f64 (*.f64 3 (sqrt.f64 x))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 x) 6) 4) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 3 (sqrt.f64 x)))) -2)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 x) 6) 4)) 16)
(pow.f64 (*.f64 3 (sqrt.f64 x)) 1)
(neg.f64 (neg.f64 (*.f64 3 (sqrt.f64 x))))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 0)
(+.f64 0 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))
(+.f64 -1 (+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1))
(+.f64 -1 (-.f64 1 (/.f64 y (neg.f64 (*.f64 3 (sqrt.f64 x))))))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(+.f64 (/.f64 y (.f64 (sqrt.f64 x) 6)) (/.f64 y (.f64 (sqrt.f64 x) 6)))
(+.f64 (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2) (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2))
(-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 0)
(-.f64 1 (-.f64 1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(-.f64 0 (/.f64 y (neg.f64 (*.f64 3 (sqrt.f64 x)))))
(-.f64 0 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1) -1)
(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
(.f64 y (.f64 1/3 (/.f64 1 (sqrt.f64 x))))
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1)
(.f64 1 (.f64 (/.f64 y (sqrt.f64 x)) 1/3))
(*.f64 (+.f64 y y) (/.f64 1/6 (sqrt.f64 x)))
(.f64 (+.f64 y y) (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2))
(.f64 (.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))
(.f64 2 (/.f64 y (.f64 (sqrt.f64 x) 6)))
(.f64 2 (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2))
(.f64 2 (.f64 y (/.f64 1/6 (sqrt.f64 x))))
(.f64 2 (.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2) y))
(.f64 2 (.f64 (/.f64 1 (*.f64 (sqrt.f64 x) 12)) (+.f64 y y)))
(.f64 2 (.f64 (/.f64 1 (.f64 (sqrt.f64 x) 2)) (.f64 y 1/3)))
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) 1/2)
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (sqrt.f64 x) 12)))
(.f64 (.f64 y 4) (*.f64 1/2 (/.f64 1/6 (sqrt.f64 x))))
(.f64 (.f64 y 2/3) (/.f64 1 (*.f64 (sqrt.f64 x) 2)))
(.f64 (.f64 y 2/3) (*.f64 3 (/.f64 1/6 (sqrt.f64 x))))
(.f64 4 (.f64 (/.f64 y 2) (/.f64 1/6 (sqrt.f64 x))))
(.f64 4 (.f64 (+.f64 (*.f64 y 1/3) (/.f64 y 6)) (/.f64 1/6 (sqrt.f64 x))))
(*.f64 (/.f64 y (sqrt.f64 x)) 1/3)
(*.f64 (/.f64 1/3 (sqrt.f64 x)) y)
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
(.f64 (neg.f64 y) (/.f64 -1 (.f64 3 (sqrt.f64 x))))
(.f64 (.f64 y -1/3) (/.f64 -1 (sqrt.f64 x)))
(.f64 -1 (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x)))))
(.f64 -1 (/.f64 (.f64 y -1/3) (sqrt.f64 x)))
(.f64 (.f64 (+.f64 y y) 4) (*.f64 1/4 (/.f64 1/6 (sqrt.f64 x))))
(.f64 (+.f64 y (.f64 y 1/3)) (*.f64 3/2 (/.f64 1/6 (sqrt.f64 x))))
(.f64 (neg.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3)) -1)
(.f64 (.f64 y (/.f64 2 (sqrt.f64 x))) 1/6)
(.f64 (/.f64 1 (sqrt.f64 x)) (.f64 y 1/3))
(.f64 1/2 (.f64 (/.f64 y (sqrt.f64 x)) 2/3))
(.f64 1/6 (.f64 y (/.f64 2 (sqrt.f64 x))))
(*.f64 (/.f64 1/6 (sqrt.f64 x)) (+.f64 y y))
(.f64 (.f64 y -2) (*.f64 -1 (/.f64 1/6 (sqrt.f64 x))))
(.f64 -2 (.f64 (neg.f64 y) (/.f64 1/6 (sqrt.f64 x))))
(.f64 2/3 (.f64 (*.f64 3 y) (/.f64 1/6 (sqrt.f64 x))))
(.f64 (.f64 2 (/.f64 1/3 (sqrt.f64 x))) (*.f64 1/2 y))
(.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2) (+.f64 y y))
(.f64 (.f64 1/3 (/.f64 1 (sqrt.f64 x))) y)
(.f64 (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x)))) -1)
(.f64 (/.f64 (.f64 y -1/3) (sqrt.f64 x)) -1)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) 2)) (*.f64 y 2/3))
(.f64 (/.f64 y (.f64 (sqrt.f64 x) 6)) 2)
(.f64 (/.f64 -1 (sqrt.f64 x)) (.f64 y -1/3))
(.f64 (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2) 2)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) 12)) (*.f64 y 4))
(.f64 (/.f64 -1 (.f64 3 (sqrt.f64 x))) (neg.f64 y))
(.f64 (.f64 y (/.f64 1/6 (sqrt.f64 x))) 2)
(pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(neg.f64 (/.f64 y (neg.f64 (*.f64 3 (sqrt.f64 x)))))
(neg.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(+.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 0)
(+.f64 0 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))))
(+.f64 (-.f64 1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (neg.f64 (/.f64 1/9 x)))
(+.f64 -1 (-.f64 (-.f64 2 (/.f64 1/9 x)) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(+.f64 (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(+.f64 (-.f64 2 (/.f64 1/9 x)) (-.f64 -1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(+.f64 (-.f64 -1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (-.f64 2 (/.f64 1/9 x)))
(+.f64 (-.f64 (-.f64 2 (/.f64 1/9 x)) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) -1)
(+.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 2 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))
(+.f64 (-.f64 2 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (-.f64 -1 (/.f64 1/9 x)))
(+.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2))
(.f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))))
(.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)
(.f64 2 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2))
(.f64 2 (-.f64 (/.f64 (-.f64 1 (/.f64 1/9 x)) 2) (/.f64 y (.f64 (sqrt.f64 x) 6))))
(.f64 2 (-.f64 (/.f64 (-.f64 1 (/.f64 1/9 x)) 2) (/.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) 2)))
(.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 1/2)
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)) -1)
(.f64 -1 (+.f64 (/.f64 1/9 x) (+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)))
(.f64 -1 (-.f64 (+.f64 (/.f64 1/9 x) -1) (/.f64 (.f64 y -1/3) (sqrt.f64 x))))
(.f64 -1 (-.f64 (+.f64 (/.f64 1/9 x) -1) (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x))))))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2))
(.f64 1/2 (-.f64 (.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 y (sqrt.f64 x)) 2/3)))
(.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 2)
(/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 2)
(/.f64 (+.f64 (/.f64 1/9 x) (+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)) -1)
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4)) 8)
(/.f64 (-.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) (.f64 (-.f64 1 (/.f64 1/9 x)) 2)) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4))) 16)
(pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)
(neg.f64 (+.f64 (/.f64 1/9 x) (+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)))

Outputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))
(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(+.f64 (/.f64 1/9 x) 0)
(/.f64 1/9 x)
(+.f64 0 (/.f64 1/9 x))
(/.f64 1/9 x)
(+.f64 -1 (+.f64 (/.f64 1/9 x) 1))
(/.f64 1/9 x)
(+.f64 (/.f64 2/9 (.f64 x 4)) (/.f64 2/9 (.f64 x 4)))
(/.f64 1/9 x)
(+.f64 (/.f64 (/.f64 1/9 x) 2) (/.f64 (/.f64 1/9 x) 2))
(/.f64 1/9 x)
(-.f64 (/.f64 1/9 x) 0)
(/.f64 1/9 x)
(-.f64 1 (-.f64 1 (/.f64 1/9 x)))
(/.f64 1/9 x)
(-.f64 0 (neg.f64 (/.f64 1/9 x)))
(/.f64 1/9 x)
(-.f64 (+.f64 (/.f64 1/9 x) -1) -1)
(/.f64 1/9 x)
(*.f64 (/.f64 1/9 x) 1)
(/.f64 1/9 x)
(*.f64 1 (/.f64 1/9 x))
(/.f64 1/9 x)
(.f64 2 (/.f64 2/9 (.f64 x 4)))
(/.f64 1/9 x)
(*.f64 2 (/.f64 (/.f64 1/9 x) 2))
(/.f64 1/9 x)
(.f64 (.f64 (/.f64 1/9 x) 2) 1/2)
(/.f64 1/9 x)
(*.f64 (neg.f64 (/.f64 1/9 x)) -1)
(/.f64 1/9 x)
(.f64 1/2 (.f64 (/.f64 1/9 x) 2))
(/.f64 1/9 x)
(*.f64 (/.f64 (/.f64 1/9 x) 2) 2)
(/.f64 1/9 x)
(pow.f64 (/.f64 1/9 x) 1)
(/.f64 1/9 x)
(neg.f64 (neg.f64 (/.f64 1/9 x)))
(/.f64 1/9 x)
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2))
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(+.f64 (*.f64 3 (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(+.f64 0 (*.f64 3 (sqrt.f64 x)))
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(*.f64 (sqrt.f64 x) 3)
(+.f64 (*.f64 (sqrt.f64 x) 2) (sqrt.f64 x))
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(*.f64 (sqrt.f64 x) 3)
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 3 (sqrt.f64 x)))))
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(*.f64 (sqrt.f64 x) 3)
(+.f64 (/.f64 (.f64 3 (sqrt.f64 x)) 2) (/.f64 (.f64 3 (sqrt.f64 x)) 2))
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) 1/2)) (.f64 3 (.f64 (sqrt.f64 x) 1/2)))
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(-.f64 (*.f64 3 (sqrt.f64 x)) 0)
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(*.f64 (sqrt.f64 x) 3)
(-.f64 0 (neg.f64 (*.f64 3 (sqrt.f64 x))))
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(/.f64 (*.f64 (sqrt.f64 x) 6) 2)
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(/.f64 (*.f64 (sqrt.f64 x) 12) 4)
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
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(/.f64 (neg.f64 (*.f64 3 (sqrt.f64 x))) -1)
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(/.f64 (.f64 (.f64 (sqrt.f64 x) 6) 4) 8)
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(/.f64 (.f64 2 (neg.f64 (.f64 3 (sqrt.f64 x)))) -2)
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 x) 6) 4)) 16)
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
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(pow.f64 (*.f64 3 (sqrt.f64 x)) 1)
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(*.f64 (sqrt.f64 x) 3)
(neg.f64 (neg.f64 (*.f64 3 (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) 3)
(+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 0)
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 1/3 y) (sqrt.f64 x))
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(+.f64 0 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))
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(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(.f64 -1 (-.f64 (+.f64 (/.f64 1/9 x) -1) (/.f64 y (neg.f64 (.f64 3 (sqrt.f64 x))))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(.f64 1/2 (-.f64 (.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 y (sqrt.f64 x)) 2/3)))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 2)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 2) 2)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(/.f64 (+.f64 (/.f64 1/9 x) (+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)) -1)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4) 4)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4)) 8)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) (.f64 (-.f64 1 (/.f64 1/9 x)) 2)) -2)
(/.f64 (-.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) (.f64 2 (-.f64 1 (/.f64 1/9 x)))) -2)
(/.f64 (.f64 2 (-.f64 -1 (+.f64 (/.f64 -1/9 x) (/.f64 (.f64 y -1/3) (sqrt.f64 x))))) -2)
(/.f64 (-.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) (.f64 2 (+.f64 1 (/.f64 -1/9 x)))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 4))) 16)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))) 1)
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(neg.f64 (+.f64 (/.f64 1/9 x) (+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) -1)))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
✓	0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))
	0.4b	(/.f64 1/9 x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`rational.json-1`
1464×	`rational.json-2`
1464×	`rational.json-4`
1464×	`rational.json-3`
1446×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	112	52
2	303	52
3	800	52
4	2335	52
5	5493	52

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(/.f64 (/.f64 y 3) (sqrt.f64 x))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (.f64 y -1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 y) (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 y 1/3) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 y 1/3) (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (.f64 y -1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 y) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (/.f64 1/6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 1/3 (/.f64 1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (/.f64 1 (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 2/3) (/.f64 1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 2/3) (.f64 (/.f64 1 (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 y 1/3) (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 y (.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (.f64 y 2/3) (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/6 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (sqrt.f64 x)) (.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (/.f64 1 (.f64 (sqrt.f64 x) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 y 2/3) (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4/3) (/.f64 1 (.f64 (sqrt.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 2 (sqrt.f64 x))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (sqrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y -1/3) (/.f64 -1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 1 (.f64 3 (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 -1 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 y -1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (neg.f64 y) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/3 (/.f64 y (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 y 2/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/6 (sqrt.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 x)) (.f64 y 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 x)) (/.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (.f64 y (/.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 x)) 1/2) (.f64 y 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (/.f64 1/2 (sqrt.f64 x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 x)) 1/6) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 y -1/3) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (-.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)) (-.f64 -1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (-.f64 1 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 1 (/.f64 1/9 x))) (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))))))

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational.json-simplify-1`
1000×	`rational.json-simplify-35`
882×	`rational.json-simplify-2`
800×	`rational.json-simplify-53`
796×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	3308
1	417	3272
2	911	3248
3	2184	3248
4	4454	3248
5	5978	3248

Stop Event

1×	node limit

Counts

132 → 133

Calls

Call 1

Inputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/9 x)
1
1
(+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)
(+.f64 0 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 3 (neg.f64 (sqrt.f64 x))))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))))
(+.f64 (/.f64 (.f64 y 1/3) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 y 1/3) (.f64 (sqrt.f64 x) 2)))
(-.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)
(-.f64 0 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(-.f64 0 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(-.f64 0 (/.f64 y (*.f64 3 (neg.f64 (sqrt.f64 x)))))
(-.f64 0 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))
(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
(.f64 (.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))
(.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)
(.f64 1 (.f64 y (/.f64 1/3 (sqrt.f64 x))))
(*.f64 (+.f64 y y) (/.f64 1/6 (sqrt.f64 x)))
(.f64 (+.f64 y y) (.f64 1/3 (/.f64 1/2 (sqrt.f64 x))))
(.f64 (+.f64 y y) (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sqrt.f64 x)) 1/6))
(.f64 (.f64 y 2/3) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (.f64 y 2/3) (*.f64 (/.f64 1 (sqrt.f64 x)) 1/2))
(*.f64 (/.f64 y (sqrt.f64 x)) 1/3)
(.f64 2 (/.f64 (.f64 y 1/3) (*.f64 (sqrt.f64 x) 2)))
(.f64 2 (/.f64 y (.f64 (sqrt.f64 x) 6)))
(.f64 2 (/.f64 (/.f64 (.f64 y 2/3) (sqrt.f64 x)) 4))
(.f64 2 (.f64 (/.f64 1/6 (sqrt.f64 x)) y))
(.f64 2 (.f64 (/.f64 1/2 (sqrt.f64 x)) (*.f64 y 1/3)))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (sqrt.f64 x) 12)))
(.f64 (/.f64 (.f64 y 2/3) (sqrt.f64 x)) 1/2)
(.f64 (.f64 y 4/3) (/.f64 1 (*.f64 (sqrt.f64 x) 4)))
(.f64 (.f64 y (/.f64 2 (sqrt.f64 x))) 1/6)
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 1/3 (sqrt.f64 x)) y)
(.f64 (/.f64 1 (sqrt.f64 x)) (.f64 y 1/3))
(.f64 (.f64 y -1/3) (/.f64 -1 (sqrt.f64 x)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 3 (neg.f64 (sqrt.f64 x)))))
(.f64 (neg.f64 y) (/.f64 -1 (.f64 3 (sqrt.f64 x))))
(.f64 -1 (/.f64 (.f64 y -1/3) (sqrt.f64 x)))
(.f64 -1 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x)))))
(.f64 -1 (/.f64 (neg.f64 y) (.f64 3 (sqrt.f64 x))))
(.f64 (neg.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) -1)
(.f64 2/3 (/.f64 y (.f64 (sqrt.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 y 2/3) (sqrt.f64 x)))
(*.f64 (/.f64 1/6 (sqrt.f64 x)) (+.f64 y y))
(.f64 (/.f64 1/2 (sqrt.f64 x)) (.f64 y 2/3))
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 y 6))
(.f64 1/6 (.f64 y (/.f64 2 (sqrt.f64 x))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 x)) 1/2) (*.f64 y 2/3))
(.f64 (.f64 1/3 (/.f64 1/2 (sqrt.f64 x))) (+.f64 y y))
(.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (sqrt.f64 x)) 1/6) (+.f64 y y))
(.f64 (/.f64 (.f64 y -1/3) (sqrt.f64 x)) -1)
(.f64 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x)))) -1)
(.f64 (/.f64 (neg.f64 y) (.f64 3 (sqrt.f64 x))) -1)
(.f64 (/.f64 y (.f64 (sqrt.f64 x) 2)) 2/3)
(.f64 (/.f64 (.f64 y 1/3) (*.f64 (sqrt.f64 x) 2)) 2)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) 4)) (*.f64 y 4/3))
(.f64 (/.f64 -1 (sqrt.f64 x)) (.f64 y -1/3))
(.f64 (/.f64 y (.f64 (sqrt.f64 x) 6)) 2)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) 12)) (*.f64 y 4))
(.f64 (/.f64 (/.f64 (.f64 y 2/3) (sqrt.f64 x)) 4) 2)
(*.f64 (/.f64 y 6) (/.f64 2 (sqrt.f64 x)))
(.f64 (/.f64 1 (.f64 3 (neg.f64 (sqrt.f64 x)))) (neg.f64 y))
(.f64 (/.f64 -1 (.f64 3 (sqrt.f64 x))) (neg.f64 y))
(pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)
(neg.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(neg.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(neg.f64 (/.f64 y (*.f64 3 (neg.f64 (sqrt.f64 x)))))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)))
(+.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 0)
(+.f64 0 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (-.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))))
(+.f64 -1 (+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1))))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)))
(+.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)) (-.f64 -1 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -1)
(+.f64 (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (-.f64 1 (/.f64 1/9 x))))
(+.f64 (+.f64 1 (-.f64 1 (/.f64 1/9 x))) (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (-.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1))) -1)
(.f64 1 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))
(.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(.f64 2 (/.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))
(.f64 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 1/2)
(.f64 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(.f64 -1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))
(.f64 (/.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(/.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(/.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4))) 16)
(pow.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(neg.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))

Outputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
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(+.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (neg.f64 y)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(+.f64 -1 (+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1))))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (neg.f64 y)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)) (-.f64 -1 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (-.f64 1 (/.f64 1/9 x))))
(+.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (neg.f64 y)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (+.f64 1 (-.f64 1 (/.f64 1/9 x))) (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (neg.f64 y)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (neg.f64 y)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 -1 (+.f64 -1 (/.f64 1/9 x))))
(+.f64 (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (-.f64 1 (-.f64 (/.f64 1/9 x) -1)))
(+.f64 (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (-.f64 1 (+.f64 1 (/.f64 1/9 x))))
(+.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (-.f64 1 (+.f64 1 (/.f64 1/9 x))))
(+.f64 (+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1))) -1)
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (/.f64 -1/9 x))
(+.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (/.f64 -1/9 x))
(.f64 1 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(.f64 2 (/.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(.f64 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 1/2)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(.f64 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(.f64 -1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(.f64 (/.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(/.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(/.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4) 4)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) 8)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(/.f64 (.f64 2 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -2)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4))) 16)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(pow.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(neg.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
✓	0.3b	(/.f64 1 (*.f64 x 9))
	0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))

Compiler

Compiled 48 to 32 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 27

Calls

9 calls:

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

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational.json-1`
1634×	`rational.json-2`
1634×	`rational.json-4`
1634×	`rational.json-3`
1616×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	120	42
2	323	42
3	870	42
4	2589	42
5	6180	42

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (*.f64 x 36)) (/.f64 2 (*.f64 x 36)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 2/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 x) 2/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/18 (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/9 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/9 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) -1)) (neg.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) -1)) (-.f64 -1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 1 (+.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) (-.f64 1 (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) -1)) (-.f64 -1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) -1)) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 4)) (*.f64 2 (*.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))))))

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1684×	`rational.json-simplify-35`
1260×	`rational.json-simplify-2`
1108×	`rational.json-simplify-41`
1062×	`rational.json-simplify-61`
920×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1984
1	204	1856
2	417	1856
3	941	1856
4	2353	1856
5	4754	1856
6	6225	1856
7	7456	1856

Stop Event

1×	node limit

Counts

76 → 66

Calls

Call 1

Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/9 x)
1
1
(+.f64 (/.f64 1/9 x) 0)
(+.f64 0 (/.f64 1/9 x))
(+.f64 (/.f64 2 (.f64 x 36)) (/.f64 2 (.f64 x 36)))
(-.f64 (/.f64 1/9 x) 0)
(-.f64 0 (neg.f64 (/.f64 1/9 x)))
(*.f64 1 (/.f64 1/9 x))
(*.f64 (/.f64 1/9 x) 1)
(*.f64 2 (/.f64 (/.f64 1/9 x) 2))
(*.f64 (/.f64 1 x) 1/9)
(.f64 (.f64 (/.f64 1 x) 2/9) 1/2)
(.f64 (.f64 2 (/.f64 1 x)) 1/18)
(*.f64 1/9 (/.f64 1 x))
(.f64 1/2 (.f64 (/.f64 1 x) 2/9))
(.f64 1/18 (.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 1/9 x) 2) 2)
(pow.f64 (/.f64 1/9 x) 1)
(neg.f64 (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) (neg.f64 (/.f64 1/9 x)))
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(+.f64 -1 (-.f64 1 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) -1)) (neg.f64 (/.f64 1/9 x))))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
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(+.f64 (-.f64 -1 (+.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) -1)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(.f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))))
(.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 1)
(.f64 2 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 2))
(.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2) 1/2)
(.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) -1)
(.f64 -1 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (.f64 y 1/3) (sqrt.f64 x)))))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2))
(.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 2) 2)
(/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 2) 2)
(/.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) -1)
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 4) 4)
(/.f64 (.f64 2 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (.f64 y 1/3) (sqrt.f64 x))))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 4))) 16)
(pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)
(neg.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))

Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))) (-.f64 1 (*.f64 1/9 (/.f64 1 x))))
(+.f64 1 (-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3)) (*.f64 1/9 (/.f64 1 x))))
(+.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))) (-.f64 1 (*.f64 1/9 (/.f64 1 x))))
(+.f64 1 (-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3)) (*.f64 1/9 (/.f64 1 x))))
(+.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))) (-.f64 1 (*.f64 1/9 (/.f64 1 x))))
(+.f64 1 (-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3)) (*.f64 1/9 (/.f64 1 x))))
(+.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))) (-.f64 1 (*.f64 1/9 (/.f64 1 x))))
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(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
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(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
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(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
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(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
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(+.f64 1 (-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3)) (*.f64 1/9 (/.f64 1 x))))
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(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
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(+.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(/.f64 -1/9 x)
1
1
(+.f64 (/.f64 1/9 x) 0)
(/.f64 1/9 x)
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(/.f64 1/9 x)
(+.f64 (/.f64 2 (.f64 x 36)) (/.f64 2 (.f64 x 36)))
(/.f64 1/9 x)
(-.f64 (/.f64 1/9 x) 0)
(/.f64 1/9 x)
(-.f64 0 (neg.f64 (/.f64 1/9 x)))
(/.f64 1/9 x)
(*.f64 1 (/.f64 1/9 x))
(/.f64 1/9 x)
(*.f64 (/.f64 1/9 x) 1)
(/.f64 1/9 x)
(*.f64 2 (/.f64 (/.f64 1/9 x) 2))
(/.f64 1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 1/9 (/.f64 1 x))
(.f64 (.f64 (/.f64 1 x) 2/9) 1/2)
(*.f64 1/9 (/.f64 1 x))
(.f64 (.f64 2 (/.f64 1 x)) 1/18)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/9 (/.f64 1 x))
(.f64 1/2 (.f64 (/.f64 1 x) 2/9))
(*.f64 1/9 (/.f64 1 x))
(.f64 1/18 (.f64 2 (/.f64 1 x)))
(*.f64 1/9 (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1/9 x) 2) 2)
(/.f64 1/9 x)
(pow.f64 (/.f64 1/9 x) 1)
(/.f64 1/9 x)
(neg.f64 (neg.f64 (/.f64 1/9 x)))
(/.f64 1/9 x)
(+.f64 (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) (neg.f64 (/.f64 1/9 x)))
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(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
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(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
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(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 1)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 2 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 2))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2) 1/2)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) -1)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 -1 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (.f64 y 1/3) (sqrt.f64 x)))))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 2))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 2) 2)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(/.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 2) 2)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) -1)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(/.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 4) 4)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(/.f64 (.f64 2 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (.f64 y 1/3) (sqrt.f64 x))))) -2)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 4)) 8)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
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(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (.f64 y 1/3) (sqrt.f64 x)))) 4))) 16)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))
(neg.f64 (-.f64 (/.f64 1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
✓	0.2b	(/.f64 y (sqrt.f64 x))
	0.4b	(/.f64 1/9 x)
✓	0.5b	(/.f64 (/.f64 y (sqrt.f64 x)) 3)

Compiler

Compiled 42 to 22 computations (47.6% saved)

series3.0ms (0%)

Counts

3 → 39

Calls

18 calls:

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

rewrite88.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`rational.json-1`
1408×	`rational.json-2`
1408×	`rational.json-4`
1408×	`rational.json-3`
1388×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	112	63
2	303	63
3	797	63
4	2318	63
5	5328	63

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(/.f64 (/.f64 y (sqrt.f64 x)) 3)
(/.f64 y (sqrt.f64 x))
(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y 1/3) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 y 1/3) (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (*.f64 3 (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (neg.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/3 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simplify171.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-35`
848×	`rational.json-simplify-41`
844×	`rational.json-simplify-43`
766×	`rational.json-simplify-52`
664×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	287	4651
1	530	4567
2	1243	4567
3	3330	4547
4	5611	4535
5	6827	4535

Stop Event

1×	node limit

Counts

205 → 214

Calls

Call 1

Inputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/9 x)
1
1
(+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)
(+.f64 0 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))
(+.f64 (/.f64 (.f64 y 1/3) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 y 1/3) (.f64 (sqrt.f64 x) 2)))
(-.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 0)
(-.f64 0 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(-.f64 0 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(-.f64 0 (/.f64 y (*.f64 3 (neg.f64 (sqrt.f64 x)))))
(-.f64 0 (/.f64 y (neg.f64 (*.f64 (sqrt.f64 x) 3))))
(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) 1/3)
(.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)
(.f64 1 (.f64 y (/.f64 1/3 (sqrt.f64 x))))
(*.f64 (/.f64 (+.f64 y y) (sqrt.f64 x)) 1/6)
(.f64 (+.f64 y y) (/.f64 1/2 (.f64 (sqrt.f64 x) 3)))
(.f64 (+.f64 y y) (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2))
(.f64 (+.f64 y y) (.f64 1/3 (/.f64 1/2 (sqrt.f64 x))))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sqrt.f64 x)) 1/6))
(.f64 (.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))
(*.f64 2 (/.f64 (/.f64 y (sqrt.f64 x)) 6))
(.f64 2 (/.f64 y (.f64 (sqrt.f64 x) 6)))
(.f64 2 (/.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 2))
(.f64 2 (.f64 y (/.f64 1/2 (*.f64 (sqrt.f64 x) 3))))
(.f64 2 (.f64 (*.f64 y 1/3) (/.f64 1/2 (sqrt.f64 x))))
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) 1/2)
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) 4) 1/12)
(.f64 (.f64 y 2/3) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (sqrt.f64 x) 12)))
(*.f64 (/.f64 1/3 (sqrt.f64 x)) y)
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (.f64 y 1/3))
(.f64 (.f64 y -1/3) (/.f64 -1 (sqrt.f64 x)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 3 (neg.f64 (sqrt.f64 x)))))
(.f64 (neg.f64 y) (/.f64 -1 (.f64 (sqrt.f64 x) 3)))
(.f64 -1 (/.f64 (.f64 y -1/3) (sqrt.f64 x)))
(.f64 -1 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x)))))
(.f64 -1 (/.f64 y (neg.f64 (.f64 (sqrt.f64 x) 3))))
(.f64 (neg.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) -1)
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 x))) (/.f64 y 6))
(.f64 1/2 (.f64 (/.f64 y (sqrt.f64 x)) 2/3))
(.f64 (/.f64 1/2 (sqrt.f64 x)) (.f64 y 2/3))
(*.f64 1/6 (/.f64 (+.f64 y y) (sqrt.f64 x)))
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 x) 3)) (+.f64 y y))
(.f64 2/3 (/.f64 y (.f64 (sqrt.f64 x) 2)))
(.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2) (+.f64 y y))
(.f64 (.f64 1/3 (/.f64 1/2 (sqrt.f64 x))) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (sqrt.f64 x)) 1/6) (+.f64 y y))
(.f64 (/.f64 (.f64 y -1/3) (sqrt.f64 x)) -1)
(.f64 (/.f64 y (.f64 3 (neg.f64 (sqrt.f64 x)))) -1)
(.f64 (/.f64 y (neg.f64 (.f64 (sqrt.f64 x) 3))) -1)
(.f64 (/.f64 y (.f64 (sqrt.f64 x) 2)) 2/3)
(.f64 (/.f64 y 6) (.f64 2 (/.f64 1 (sqrt.f64 x))))
(.f64 1/12 (.f64 (/.f64 y (sqrt.f64 x)) 4))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 x)) 6) 2)
(.f64 (/.f64 y (.f64 (sqrt.f64 x) 6)) 2)
(.f64 (/.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 2) 2)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) 12)) (*.f64 y 4))
(.f64 (/.f64 -1 (sqrt.f64 x)) (.f64 y -1/3))
(.f64 (/.f64 1 (.f64 3 (neg.f64 (sqrt.f64 x)))) (neg.f64 y))
(.f64 (/.f64 -1 (.f64 (sqrt.f64 x) 3)) (neg.f64 y))
(.f64 (.f64 y (/.f64 1/2 (*.f64 (sqrt.f64 x) 3))) 2)
(.f64 (.f64 (*.f64 y 1/3) (/.f64 1/2 (sqrt.f64 x))) 2)
(pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)
(neg.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(neg.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))
(neg.f64 (/.f64 y (*.f64 3 (neg.f64 (sqrt.f64 x)))))
(neg.f64 (/.f64 y (neg.f64 (*.f64 (sqrt.f64 x) 3))))
(+.f64 (/.f64 y (sqrt.f64 x)) 0)
(+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (.f64 (/.f64 y (sqrt.f64 x)) 2/3))
(+.f64 0 (/.f64 y (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) (.f64 y (/.f64 1/3 (sqrt.f64 x))))
(+.f64 (/.f64 y (.f64 (sqrt.f64 x) 2)) (/.f64 y (.f64 (sqrt.f64 x) 2)))
(-.f64 (/.f64 y (sqrt.f64 x)) 0)
(-.f64 0 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 y (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) 1)
(.f64 3 (.f64 y (/.f64 1/3 (sqrt.f64 x))))
(.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 3)
(*.f64 1 (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 y y) (sqrt.f64 x)) 1/2)
(*.f64 (+.f64 y y) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sqrt.f64 x)) 1/2))
(.f64 (+.f64 y y) (+.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/2 (.f64 (sqrt.f64 x) 3))))
(.f64 (+.f64 y y) (+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2)))
(.f64 (+.f64 y y) (+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 1/3 (/.f64 1/2 (sqrt.f64 x)))))
(.f64 (+.f64 y y) (+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (/.f64 1 (sqrt.f64 x)) 1/6)))
(.f64 (.f64 y 1/3) (+.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 2 (/.f64 1 (sqrt.f64 x)))))
(.f64 2 (/.f64 y (.f64 (sqrt.f64 x) 2)))
(*.f64 2 (/.f64 (/.f64 y (sqrt.f64 x)) 2))
(.f64 2 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 (/.f64 y (sqrt.f64 x)) 6)))
(.f64 2 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 y (*.f64 (sqrt.f64 x) 6))))
(.f64 2 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 2)))
(.f64 2 (.f64 y (/.f64 1/2 (sqrt.f64 x))))
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) 2/3) 3/2)
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) 4) 1/4)
(.f64 (.f64 y 2/3) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x))))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (sqrt.f64 x) 4)))
(.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 y 3))
(.f64 1/3 (.f64 (/.f64 y (sqrt.f64 x)) 3))
(*.f64 (/.f64 1 (sqrt.f64 x)) y)
(*.f64 (neg.f64 y) (/.f64 -1 (sqrt.f64 x)))
(*.f64 -1 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) 3) 1/3)
(.f64 (.f64 y 3) (/.f64 1/3 (sqrt.f64 x)))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 x))) (/.f64 y 2))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 x))) (+.f64 (*.f64 y 1/3) (/.f64 y 6)))
(*.f64 1/2 (/.f64 (+.f64 y y) (sqrt.f64 x)))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) (+.f64 y y))
(.f64 2/3 (+.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (.f64 (sqrt.f64 x) 2))))
(.f64 3/2 (.f64 (/.f64 y (sqrt.f64 x)) 2/3))
(.f64 (.f64 (/.f64 1 (sqrt.f64 x)) 1/2) (+.f64 y y))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) -1)
(.f64 (/.f64 y (.f64 (sqrt.f64 x) 2)) 2)
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (neg.f64 y))
(.f64 1/4 (.f64 (/.f64 y (sqrt.f64 x)) 4))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) 4)) (*.f64 y 4))
(.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (.f64 2 (/.f64 1 (sqrt.f64 x)))) (*.f64 y 1/3))
(.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x))) (.f64 y 2/3))
(.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (.f64 (sqrt.f64 x) 2))) 2/3)
(.f64 (+.f64 (.f64 y 1/3) (/.f64 y 6)) (*.f64 2 (/.f64 1 (sqrt.f64 x))))
(.f64 (+.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/2 (.f64 (sqrt.f64 x) 3))) (+.f64 y y))
(.f64 (+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (/.f64 1/3 (sqrt.f64 x)) 1/2)) (+.f64 y y))
(.f64 (+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 1/3 (/.f64 1/2 (sqrt.f64 x)))) (+.f64 y y))
(.f64 (+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (/.f64 1 (sqrt.f64 x)) 1/6)) (+.f64 y y))
(.f64 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 (/.f64 y (sqrt.f64 x)) 6)) 2)
(.f64 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 y (*.f64 (sqrt.f64 x) 6))) 2)
(.f64 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 2)) 2)
(.f64 (.f64 y (/.f64 1/2 (sqrt.f64 x))) 2)
(pow.f64 (/.f64 y (sqrt.f64 x)) 1)
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (neg.f64 (/.f64 1/9 x)))
(+.f64 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)))
(+.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 0)
(+.f64 0 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (-.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)))
(+.f64 -1 (+.f64 1 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))))
(+.f64 -1 (+.f64 (neg.f64 (/.f64 1/9 x)) (+.f64 1 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (/.f64 1/9 x)) (+.f64 1 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))
(+.f64 (+.f64 1 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 -1 (/.f64 1/9 x)))
(+.f64 (+.f64 1 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))) -1)
(+.f64 (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (-.f64 1 (/.f64 1/9 x))))
(+.f64 (+.f64 1 (-.f64 1 (/.f64 1/9 x))) (-.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (-.f64 -1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) -1)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/9 x) -1)) (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(+.f64 (+.f64 (neg.f64 (/.f64 1/9 x)) (+.f64 1 (-.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))) -1)
(.f64 1 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))
(.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(.f64 2 (/.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))
(.f64 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 1/2)
(.f64 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(.f64 -1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))
(.f64 (/.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(/.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(/.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4))) 16)
(pow.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(neg.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))

Outputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
(+.f64 1 (-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3)) (*.f64 (/.f64 1 x) 1/9)))
(+.f64 1 (-.f64 (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) (*.f64 (/.f64 1 x) 1/9)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
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(.f64 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(.f64 -1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(.f64 1/2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(.f64 (/.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(/.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 2) 2)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(/.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)) -1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4) 4)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) 8)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(/.f64 (.f64 2 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1))) -2)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4)) (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 4))) 16)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(pow.f64 (-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))) 1)
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))
(neg.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) -1)))
(-.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))
(-.f64 1 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) (/.f64 1/9 x)))

eval205.0ms (2.6%)

Compiler: Compiled 11151 to 7935 computations (28.8% saved)

prune125.0ms (1.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	720	7	727
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	720	11	731

Error

0.0b

Counts

731 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.6b	(/.f64 -1/9 x)
✓	0.5b	(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
✓	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
▶	21.7b	(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
	42.0b	(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
▶	41.7b	(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
▶	41.7b	(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
	43.6b	1

Compiler

Compiled 177 to 143 computations (19.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
✓	0.2b	(*.f64 (/.f64 1/3 (sqrt.f64 x)) y)
✓	0.4b	(/.f64 1/3 (sqrt.f64 x))
	0.4b	(/.f64 1/9 x)

Compiler

Compiled 39 to 25 computations (35.9% saved)

series4.0ms (0%)

Counts

3 → 27

Calls

15 calls:

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

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`rational.json-1`
1210×	`rational.json-2`
1210×	`rational.json-4`
1210×	`rational.json-3`
1206×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	106	63
2	249	63
3	564	63
4	1247	63
5	3762	63
6	7972	63

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/6 (sqrt.f64 x)) (/.f64 1/6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/3 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 3 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/3 (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) (/.f64 2 (*.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 6) (/.f64 1/2 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 6) (/.f64 1 (*.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1/3 (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3/2) (/.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) (*.f64 (sqrt.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) (*.f64 (sqrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))) (*.f64 (sqrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (sqrt.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/3 (sqrt.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1/6 (sqrt.f64 x))) (*.f64 y (/.f64 1/6 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9)) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) 2)) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 x) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 (sqrt.f64 x) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 6 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 (sqrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 6 (/.f64 (sqrt.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (sqrt.f64 x) 12) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (*.f64 2 (*.f64 (sqrt.f64 x) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 (sqrt.f64 x) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (-.f64 0 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/3 (/.f64 (sqrt.f64 x) y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 (sqrt.f64 x) 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/3 (-.f64 0 (*.f64 (sqrt.f64 x) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 4)) (*.f64 2 (*.f64 (sqrt.f64 x) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 4)) (*.f64 (*.f64 (sqrt.f64 x) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 4/3 (/.f64 (sqrt.f64 x) y))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/2) (*.f64 (sqrt.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/2) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9)) (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 6 (/.f64 (sqrt.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 4/3 (/.f64 (sqrt.f64 x) y)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 y (sqrt.f64 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 y)) (*.f64 2 (neg.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 y 4)) (*.f64 (sqrt.f64 x) 3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (sqrt.f64 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (*.f64 (sqrt.f64 x) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1/2) (*.f64 (sqrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 y y)) (neg.f64 (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 y)) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 y)) (-.f64 0 (neg.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 4)) (-.f64 0 (*.f64 (sqrt.f64 x) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 1/2)) (-.f64 0 (*.f64 (sqrt.f64 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y 3)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y 1/2)) (neg.f64 (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 y y))) (*.f64 (sqrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 2 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (-.f64 2 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (/.f64 1/9 x)) (-.f64 -1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 2 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (-.f64 -1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2) (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 (+.f64 (/.f64 1/9 x) -1) -2) (*.f64 y (/.f64 1/6 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 2) (/.f64 1/18 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) -2) (*.f64 y (/.f64 2/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)))))))

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1596×	`rational.json-simplify-51`
1486×	`rational.json-simplify-35`
1174×	`rational.json-simplify-49`
986×	`rational.json-simplify-44`
844×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	4197
1	752	4177
2	1974	3981
3	6677	3981

Stop Event

1×	node limit

Counts

155 → 177

Calls

Call 1

Inputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (sqrt.f64 x)) 0)
(+.f64 0 (/.f64 1/3 (sqrt.f64 x)))
(+.f64 (/.f64 1/6 (sqrt.f64 x)) (/.f64 1/6 (sqrt.f64 x)))
(-.f64 (/.f64 1/3 (sqrt.f64 x)) 0)
(.f64 (sqrt.f64 x) (/.f64 3 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))
(*.f64 (/.f64 1/3 (sqrt.f64 x)) 1)
(*.f64 1 (/.f64 1/3 (sqrt.f64 x)))
(*.f64 2 (/.f64 1/6 (sqrt.f64 x)))
(*.f64 4 (/.f64 (/.f64 1/3 (sqrt.f64 x)) 4))
(*.f64 (/.f64 2/3 (sqrt.f64 x)) 1/2)
(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 2 (.f64 (.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))))
(.f64 (.f64 (sqrt.f64 x) 6) (/.f64 1/2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 (.f64 (sqrt.f64 x) 6) (/.f64 1 (.f64 (.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))))
(.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 4) 1/4)
(*.f64 1/2 (/.f64 2/3 (sqrt.f64 x)))
(.f64 3 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))
(.f64 1/4 (.f64 (/.f64 1/3 (sqrt.f64 x)) 4))
(*.f64 (/.f64 1/6 (sqrt.f64 x)) 2)
(.f64 (.f64 (sqrt.f64 x) 3/2) (/.f64 2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 3/2 (/.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 6 (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 9))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))) 3/2)
(.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) 3)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))) (.f64 (sqrt.f64 x) 3))
(.f64 (/.f64 2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))) (.f64 (sqrt.f64 x) 3/2))
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))) (.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 3 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 9))) 6)
(.f64 (/.f64 1 (.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 9))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 2 (.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 9))) (*.f64 (sqrt.f64 x) 3))
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 x)) 4) 4)
(pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)
(neg.f64 (/.f64 -1/3 (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 0)
(+.f64 0 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(+.f64 -1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1))
(+.f64 (.f64 y (/.f64 1/6 (sqrt.f64 x))) (.f64 y (/.f64 1/6 (sqrt.f64 x))))
(-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 0)
(-.f64 1 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))
(-.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) -1) -1)
(/.f64 1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (*.f64 (sqrt.f64 x) 3))
(/.f64 y (/.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9)) (*.f64 (sqrt.f64 x) 3)))
(/.f64 y (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) 2)) -2/3))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1)
(/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 3 y)))
(/.f64 2/3 (*.f64 (sqrt.f64 x) (/.f64 2 y)))
(/.f64 2 (*.f64 6 (/.f64 (sqrt.f64 x) y)))
(/.f64 2 (.f64 2 (.f64 (sqrt.f64 x) (/.f64 3 y))))
(/.f64 (+.f64 y y) (*.f64 (sqrt.f64 x) 6))
(/.f64 (*.f64 y (/.f64 2/3 (sqrt.f64 x))) 2)
(/.f64 4 (.f64 2 (.f64 6 (/.f64 (sqrt.f64 x) y))))
(/.f64 4 (/.f64 (*.f64 (sqrt.f64 x) 12) y))
(/.f64 4/3 (.f64 2 (.f64 (sqrt.f64 x) (/.f64 2 y))))
(/.f64 4/3 (/.f64 (*.f64 (sqrt.f64 x) 4) y))
(/.f64 -1/3 (-.f64 0 (/.f64 (sqrt.f64 x) y)))
(/.f64 -1 (-.f64 0 (*.f64 (sqrt.f64 x) (/.f64 3 y))))
(/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 x) y)) 4)
(/.f64 (.f64 y 4) (.f64 (sqrt.f64 x) 12))
(/.f64 -2/3 (-.f64 0 (*.f64 (sqrt.f64 x) (/.f64 2 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) -1)
(/.f64 (.f64 2 (.f64 y 4)) (.f64 2 (.f64 (sqrt.f64 x) 12)))
(/.f64 (.f64 2 (.f64 y 4)) (.f64 (.f64 (sqrt.f64 x) 3) 8))
(/.f64 (*.f64 2 (/.f64 4/3 (/.f64 (sqrt.f64 x) y))) 8)
(/.f64 (/.f64 y (sqrt.f64 x)) 3)
(/.f64 (.f64 y 1/2) (.f64 (sqrt.f64 x) 3/2))
(/.f64 (.f64 y 1/2) (/.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9)) (.f64 (sqrt.f64 x) 6)))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 (sqrt.f64 x) 3)))
(/.f64 -2 (-.f64 0 (*.f64 6 (/.f64 (sqrt.f64 x) y))))
(/.f64 (.f64 2 (.f64 2 (/.f64 4/3 (/.f64 (sqrt.f64 x) y)))) 16)
(/.f64 (*.f64 2 (/.f64 y (sqrt.f64 x))) 6)
(/.f64 (.f64 2 (neg.f64 y)) (.f64 2 (neg.f64 (*.f64 (sqrt.f64 x) 3))))
(/.f64 (/.f64 (.f64 2 (.f64 y 4)) (*.f64 (sqrt.f64 x) 3)) 8)
(/.f64 (/.f64 y 3) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 y y) (sqrt.f64 x)) 6)
(/.f64 (/.f64 y (*.f64 (sqrt.f64 x) 2)) 3/2)
(/.f64 (/.f64 y 1/2) (*.f64 (sqrt.f64 x) 6))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (*.f64 (sqrt.f64 x) 6)))
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 (sqrt.f64 x) 3))
(/.f64 (neg.f64 (neg.f64 y)) (-.f64 0 (neg.f64 (*.f64 (sqrt.f64 x) 3))))
(/.f64 (neg.f64 (.f64 y 4)) (-.f64 0 (.f64 (sqrt.f64 x) 12)))
(/.f64 (neg.f64 (.f64 y 1/2)) (-.f64 0 (.f64 (sqrt.f64 x) 3/2)))
(/.f64 (neg.f64 (/.f64 y 3)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 y 1/2)) (neg.f64 (*.f64 (sqrt.f64 x) 6)))
(/.f64 (neg.f64 (neg.f64 (+.f64 y y))) (*.f64 (sqrt.f64 x) 6))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (*.f64 (sqrt.f64 x) 3)))
(pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))
(+.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 0)
(+.f64 0 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))))
(+.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (neg.f64 (/.f64 1/9 x)))
(+.f64 -1 (-.f64 2 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))))
(+.f64 (neg.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (neg.f64 (/.f64 1/9 x)) (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))
(+.f64 (-.f64 -1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (-.f64 2 (/.f64 1/9 x)))
(+.f64 (-.f64 2 (/.f64 1/9 x)) (-.f64 -1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))
(+.f64 (-.f64 2 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) -1)
(+.f64 (-.f64 -1 (/.f64 1/9 x)) (-.f64 2 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))
(+.f64 (-.f64 2 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) (-.f64 -1 (/.f64 1/9 x)))
(+.f64 (.f64 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2) (.f64 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2))
(.f64 1 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))))
(.f64 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1)
(.f64 2 (.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2))
(.f64 2 (-.f64 (/.f64 (+.f64 (/.f64 1/9 x) -1) -2) (.f64 y (/.f64 1/6 (sqrt.f64 x)))))
(.f64 2 (-.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 2) (/.f64 1/18 x)))
(.f64 (.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -2) 1/2)
(.f64 4 (/.f64 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4))
(.f64 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -1)
(.f64 -1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)))
(.f64 (.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -2))
(.f64 1/2 (-.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) -2) (*.f64 y (/.f64 2/3 (sqrt.f64 x)))))
(.f64 1/4 (.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4))
(.f64 (.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1/2) 2)
(.f64 (/.f64 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4) 4)
(/.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1)
(/.f64 (.f64 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -2) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)) -1)
(/.f64 (.f64 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 4))) 16)
(/.f64 (neg.f64 (.f64 2 (+.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)))) 2)
(pow.f64 (-.f64 1 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (/.f64 1/9 x))) 1)
(neg.f64 (+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) (+.f64 (/.f64 1/9 x) -1)))

Outputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y 1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
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(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
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(+.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) (-.f64 1 (*.f64 (/.f64 1 x) 1/9)))
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(-.f64 (/.f64 1/3 (sqrt.f64 x)) 0)
(/.f64 1/3 (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 3 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))
(.f64 (sqrt.f64 x) (/.f64 (/.f64 3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) 9)))
(.f64 (sqrt.f64 x) (/.f64 1/3 (sqrt.f64 (.f64 x x))))
(*.f64 (/.f64 1/3 (sqrt.f64 x)) 1)
(/.f64 1/3 (sqrt.f64 x))
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(/.f64 1/3 (sqrt.f64 x))
(*.f64 2 (/.f64 1/6 (sqrt.f64 x)))
(*.f64 (/.f64 1/6 (sqrt.f64 x)) 2)
(*.f64 4 (/.f64 (/.f64 1/3 (sqrt.f64 x)) 4))
(/.f64 1/3 (sqrt.f64 x))
(*.f64 (/.f64 2/3 (sqrt.f64 x)) 1/2)
(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 2/9 (sqrt.f64 (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 2 (.f64 (.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 9))))
(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 2/9 (sqrt.f64 (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 x) 6) (/.f64 1/2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9)))))
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(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (*.f64 x x)))))
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(.f64 6 (.f64 (sqrt.f64 x) (/.f64 1/2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9)))))
(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (*.f64 x x)))))
(.f64 (.f64 (/.f64 1/3 (sqrt.f64 x)) 4) 1/4)
(/.f64 1/3 (sqrt.f64 x))
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(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 2/9 (sqrt.f64 (*.f64 x x)))))
(.f64 1/4 (.f64 (/.f64 1/3 (sqrt.f64 x)) 4))
(/.f64 1/3 (sqrt.f64 x))
(*.f64 (/.f64 1/6 (sqrt.f64 x)) 2)
(.f64 (.f64 (sqrt.f64 x) 3/2) (/.f64 2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
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(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 2/9 (sqrt.f64 (*.f64 x x)))))
(.f64 3/2 (/.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
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(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 2/9 (sqrt.f64 (*.f64 x x)))))
(.f64 6 (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 9))))
(.f64 6 (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) 9) (.f64 (sqrt.f64 x) 2))))
(.f64 6 (/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) 18)))
(.f64 6 (/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 18))
(.f64 6 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x x)) 18)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))) 3/2)
(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
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(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 2/9 (sqrt.f64 (*.f64 x x)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))) (.f64 (sqrt.f64 x) 3))
(.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))))
(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 2/9 (sqrt.f64 (*.f64 x x)))))
(.f64 (/.f64 2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 9))) (.f64 (sqrt.f64 x) 3/2))
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localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1/9 x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational.json-1`
1206×	`rational.json-2`
1206×	`rational.json-3`
1204×	`rational.json-4`
1196×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	36	7
2	102	7
3	241	7
4	521	7
5	1470	7
6	4282	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 -1/9 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/18 x) (/.f64 -1/18 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -9 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1/18 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9) (/.f64 1 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -18) (/.f64 1/2 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 -1/9 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/9 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9 (/.f64 x (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -2/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/18 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -18 (/.f64 x (*.f64 x (*.f64 (*.f64 x -9) -18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9/2) (/.f64 2 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 (/.f64 (+.f64 x x) (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 -1/9 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x 81))) -9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (*.f64 x (*.f64 x 81))) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/9 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 81))) (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x 81))) (*.f64 x -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9 (*.f64 x (*.f64 x 81))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x (*.f64 x 81))) (*.f64 x -18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 (*.f64 x -9) -18))) -18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/9 x))))))

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1788×	`rational.json-simplify-35`
1316×	`rational.json-simplify-49`
1132×	`rational.json-simplify-39`
574×	`rational.json-simplify-2`
572×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	579
1	139	567
2	313	519
3	726	471
4	2209	471
5	4809	471
6	5797	471
7	7056	471

Stop Event

1×	node limit

Counts

33 → 53

Calls

Call 1

Inputs
(+.f64 (/.f64 -1/9 x) 0)
(+.f64 0 (/.f64 -1/9 x))
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/18 x) (/.f64 -1/18 x))
(-.f64 (/.f64 -1/9 x) 0)
(-.f64 0 (/.f64 1/9 x))
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(*.f64 (/.f64 -1/9 x) 1)
(*.f64 1 (/.f64 -1/9 x))
(*.f64 2 (/.f64 -1/18 x))
(*.f64 (/.f64 -2/9 x) 1/2)
(.f64 (.f64 x -9) (/.f64 1 (.f64 x (.f64 x 81))))
(.f64 (.f64 x -18) (/.f64 1/2 (.f64 x (.f64 x 81))))
(*.f64 4 (/.f64 (/.f64 -1/9 x) 4))
(.f64 (.f64 (/.f64 -1/9 x) 4) 1/4)
(.f64 -9 (/.f64 x (.f64 x (*.f64 x 81))))
(*.f64 1/2 (/.f64 -2/9 x))
(*.f64 (/.f64 -1/18 x) 2)
(.f64 -18 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))))
(.f64 (.f64 x -9/2) (/.f64 2 (.f64 x (.f64 x 81))))
(.f64 -9/2 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 81))))
(.f64 1/4 (.f64 (/.f64 -1/9 x) 4))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 81))) -9/2)
(*.f64 (/.f64 (/.f64 -1/9 x) 4) 4)
(*.f64 (/.f64 1/9 x) -1)
(.f64 (/.f64 1 (.f64 x (.f64 x 81))) (.f64 x -9))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 -9 (.f64 x (*.f64 x 81))) x)
(.f64 (/.f64 1/2 (.f64 x (.f64 x 81))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(pow.f64 (/.f64 -1/9 x) 1)
(neg.f64 (/.f64 1/9 x))

Outputs
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(+.f64 0 (/.f64 -1/9 x))
(/.f64 -1/9 x)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(/.f64 -1/9 x)
(+.f64 (/.f64 -1/18 x) (/.f64 -1/18 x))
(-.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(-.f64 0 (/.f64 1/9 x))
(/.f64 -1/9 x)
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(*.f64 x (/.f64 (/.f64 -1/9 x) x))
(*.f64 (/.f64 -1/9 x) 1)
(/.f64 -1/9 x)
(*.f64 1 (/.f64 -1/9 x))
(/.f64 -1/9 x)
(*.f64 2 (/.f64 -1/18 x))
(*.f64 (/.f64 -1/18 x) 2)
(*.f64 (/.f64 -2/9 x) 1/2)
(*.f64 1/2 (/.f64 -2/9 x))
(.f64 (.f64 x -9) (/.f64 1 (.f64 x (.f64 x 81))))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 -9 (.f64 x (/.f64 1 (.f64 81 (.f64 x x)))))
(.f64 -9 (.f64 x (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (.f64 x -18) (/.f64 1/2 (.f64 x (.f64 x 81))))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 -9 (.f64 x (/.f64 1 (.f64 81 (.f64 x x)))))
(.f64 -9 (.f64 x (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(*.f64 4 (/.f64 (/.f64 -1/9 x) 4))
(/.f64 -1/9 x)
(.f64 (.f64 (/.f64 -1/9 x) 4) 1/4)
(/.f64 -1/9 x)
(.f64 -9 (/.f64 x (.f64 x (*.f64 x 81))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -9 (/.f64 x (.f64 81 (*.f64 x x))))
(*.f64 -9 (/.f64 1/81 x))
(*.f64 1/2 (/.f64 -2/9 x))
(*.f64 (/.f64 -2/9 x) 1/2)
(*.f64 (/.f64 -1/18 x) 2)
(.f64 -18 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))))
(.f64 -18 (/.f64 x (.f64 x (*.f64 x 162))))
(*.f64 -18 (/.f64 1/162 x))
(.f64 (.f64 x -9/2) (/.f64 2 (.f64 x (.f64 x 81))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(.f64 (.f64 x -9/2) (/.f64 (/.f64 2/81 x) x))
(.f64 -9/2 (.f64 x (/.f64 (/.f64 2/81 x) x)))
(.f64 -9/2 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 81))))
(.f64 -9/2 (/.f64 (+.f64 x x) (.f64 81 (*.f64 x x))))
(.f64 -9/2 (/.f64 (/.f64 (+.f64 x x) x) (.f64 x 81)))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 1/4 (.f64 (/.f64 -1/9 x) 4))
(/.f64 -1/9 x)
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -9 (/.f64 x (.f64 81 (*.f64 x x))))
(*.f64 -9 (/.f64 1/81 x))
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 81))) -9/2)
(.f64 -9/2 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 81))))
(.f64 -9/2 (/.f64 (+.f64 x x) (.f64 81 (*.f64 x x))))
(.f64 -9/2 (/.f64 (/.f64 (+.f64 x x) x) (.f64 x 81)))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(*.f64 (/.f64 (/.f64 -1/9 x) 4) 4)
(/.f64 -1/9 x)
(*.f64 (/.f64 1/9 x) -1)
(/.f64 -1/9 x)
(.f64 (/.f64 1 (.f64 x (.f64 x 81))) (.f64 x -9))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 -9 (.f64 x (/.f64 1 (.f64 81 (.f64 x x)))))
(.f64 -9 (.f64 x (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (.f64 x -9/2) (/.f64 2 (.f64 x (.f64 x 81))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(.f64 (.f64 x -9/2) (/.f64 (/.f64 2/81 x) x))
(.f64 -9/2 (.f64 x (/.f64 (/.f64 2/81 x) x)))
(.f64 (/.f64 -9 (.f64 x (*.f64 x 81))) x)
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(*.f64 x (/.f64 (/.f64 -1/9 x) x))
(.f64 (/.f64 1/2 (.f64 x (.f64 x 81))) (.f64 x -18))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 -9 (.f64 x (/.f64 1 (.f64 81 (.f64 x x)))))
(.f64 -9 (.f64 x (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(.f64 -18 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))))
(.f64 -18 (/.f64 x (.f64 x (*.f64 x 162))))
(*.f64 -18 (/.f64 1/162 x))
(pow.f64 (/.f64 -1/9 x) 1)
(/.f64 -1/9 x)
(neg.f64 (/.f64 1/9 x))
(/.f64 -1/9 x)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (/.f64 1 x) 1/9)

Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational.json-simplify-35`
986×	`rational.json-1`
986×	`rational.json-2`
986×	`rational.json-4`
986×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	138	13
3	267	13
4	540	13
5	1414	13
6	4057	13

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 1/9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 1/18) (*.f64 (/.f64 1 x) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 x) 1/9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 x) 1/18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 4/9) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 x) 4/9) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 2 x) 4/9)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 x) 4/9))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 x) 4/9))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 x) 4/9)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 x) 1/9) 1)))))

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational.json-simplify-2`
1334×	`rational.json-simplify-40`
1042×	`rational.json-simplify-35`
722×	`rational.json-simplify-1`
604×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	240
1	92	240
2	203	240
3	538	240
4	1662	240
5	3510	240
6	5122	240
7	5801	240
8	6578	240

Stop Event

1×	node limit

Counts

24 → 16

Calls

Call 1

Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(+.f64 (*.f64 (/.f64 1 x) 1/9) 0)
(+.f64 0 (*.f64 (/.f64 1 x) 1/9))
(+.f64 (.f64 (/.f64 1 x) 1/18) (.f64 (/.f64 1 x) 1/18))
(-.f64 (*.f64 (/.f64 1 x) 1/9) 0)
(/.f64 (*.f64 (/.f64 1 x) 1/9) 1)
(/.f64 (*.f64 (/.f64 4 x) 1/18) 2)
(/.f64 (*.f64 (/.f64 1 x) 4/9) 4)
(/.f64 (*.f64 (/.f64 2 x) 4/9) 8)
(/.f64 (.f64 2 (.f64 (/.f64 2 x) 4/9)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 2 x) 4/9))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (/.f64 2 x) 4/9))) (.f64 2 (.f64 2 (.f64 (/.f64 2 x) 4/9)))) 64)
(pow.f64 (*.f64 (/.f64 1 x) 1/9) 1)

Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(+.f64 (*.f64 (/.f64 1 x) 1/9) 0)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(+.f64 0 (*.f64 (/.f64 1 x) 1/9))
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(+.f64 (.f64 (/.f64 1 x) 1/18) (.f64 (/.f64 1 x) 1/18))
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(-.f64 (*.f64 (/.f64 1 x) 1/9) 0)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(/.f64 (*.f64 (/.f64 1 x) 1/9) 1)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(/.f64 (*.f64 (/.f64 4 x) 1/18) 2)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(/.f64 (*.f64 (/.f64 1 x) 4/9) 4)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(/.f64 (*.f64 (/.f64 2 x) 4/9) 8)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(/.f64 (.f64 2 (.f64 (/.f64 2 x) 4/9)) 16)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 2 x) 4/9))) 32)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (/.f64 2 x) 4/9))) (.f64 2 (.f64 2 (.f64 (/.f64 2 x) 4/9)))) 64)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))
(pow.f64 (*.f64 (/.f64 1 x) 1/9) 1)
(*.f64 1/9 (/.f64 1 x))
(*.f64 1/18 (/.f64 2 x))
(*.f64 4/9 (/.f64 1/4 x))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 1 x))
✓	0.2b	(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
✓	0.3b	(*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

12 calls:

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

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`rational.json-1`
1234×	`rational.json-2`
1234×	`rational.json-4`
1234×	`rational.json-3`
1230×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	84	51
2	188	51
3	379	51
4	750	51
5	1953	51
6	5161	51

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/6) (*.f64 (sqrt.f64 (/.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/6)) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (/.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 x)) 1)))))

simplify446.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

3374×	`rational.json-simplify-2`
2232×	`rational.json-simplify-35`
1794×	`rational.json-simplify-53`
1508×	`rational.json-simplify-1`
1184×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	947
1	201	947
2	647	947
3	1551	947
4	3568	947
5	4682	947
6	4940	947
7	5064	947
8	5174	947
9	5286	947
10	6983	947
11	7635	947
12	7765	947
13	7765	947
14	7871	947
15	7977	947

Stop Event

1×	node limit

Counts

55 → 47

Calls

Call 1

Inputs
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 0)
(+.f64 0 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/6) (.f64 (sqrt.f64 (/.f64 1 x)) -1/6))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 0)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -2/3) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -4/3) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8))) 32)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1)
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 0)
(+.f64 0 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/6)) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/6)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 0)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 1)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -2/3)) 2)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -4/3)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -4/3)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3))))) 32)
(pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 1)
(+.f64 (sqrt.f64 (/.f64 1 x)) 0)
(+.f64 0 (sqrt.f64 (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (.f64 (sqrt.f64 (/.f64 1 x)) 1/2))
(-.f64 (sqrt.f64 (/.f64 1 x)) 0)
(*.f64 1 (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) 1)
(.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2))
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 1 x)) 4))
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) 2))
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 x)) 4))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) 4) 4)
(/.f64 (sqrt.f64 (/.f64 1 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) 8))) 32)
(pow.f64 (sqrt.f64 (/.f64 1 x)) 1)

Outputs
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 0)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(+.f64 0 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/6) (.f64 (sqrt.f64 (/.f64 1 x)) -1/6))
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 0)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -2/3) 2)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -4/3) 4)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8) 8)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8)) 16)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 8))) 32)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1)
(*.f64 -1/3 (sqrt.f64 (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 0)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(+.f64 0 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/6)) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/6)))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 0)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 1)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -2/3)) 2)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -4/3)) 4)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3))) 8)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -4/3)))) 16)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3))))) 32)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y)) 1)
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(+.f64 (sqrt.f64 (/.f64 1 x)) 0)
(sqrt.f64 (/.f64 1 x))
(+.f64 0 (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (/.f64 1 x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (.f64 (sqrt.f64 (/.f64 1 x)) 1/2))
(sqrt.f64 (/.f64 1 x))
(-.f64 (sqrt.f64 (/.f64 1 x)) 0)
(sqrt.f64 (/.f64 1 x))
(*.f64 1 (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (/.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 1 x)) 1)
(sqrt.f64 (/.f64 1 x))
(.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2))
(sqrt.f64 (/.f64 1 x))
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 1 x)) 4))
(sqrt.f64 (/.f64 1 x))
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 2) 1/2)
(sqrt.f64 (/.f64 1 x))
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 4) 1/4)
(sqrt.f64 (/.f64 1 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) 2))
(sqrt.f64 (/.f64 1 x))
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2) 2)
(sqrt.f64 (/.f64 1 x))
(.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 x)) 4))
(sqrt.f64 (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) 4) 4)
(sqrt.f64 (/.f64 1 x))
(/.f64 (sqrt.f64 (/.f64 1 x)) 1)
(sqrt.f64 (/.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 2) 2)
(sqrt.f64 (/.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 4) 4)
(sqrt.f64 (/.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 8) 8)
(sqrt.f64 (/.f64 1 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 x)) 8)) 16)
(sqrt.f64 (/.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (/.f64 1 x)) 8))) 32)
(sqrt.f64 (/.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 1 x)) 1)
(sqrt.f64 (/.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (/.f64 1 x))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
✓	0.3b	(*.f64 y -1/3)

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`rational.json-1`
1234×	`rational.json-2`
1234×	`rational.json-4`
1234×	`rational.json-3`
1230×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	84	30
2	188	30
3	379	30
4	751	30
5	1950	30
6	5194	30

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/6) (*.f64 y -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y -1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y -1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y -1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/3) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/6)) (*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 1)))))

simplify403.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

2784×	`rational.json-simplify-35`
2334×	`rational.json-simplify-2`
1880×	`rational.json-simplify-53`
1114×	`rational.json-simplify-1`
754×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	690
1	144	690
2	316	690
3	1114	690
4	2888	690
5	4474	690
6	5184	690
7	5361	690
8	5510	690
9	5652	690
10	6847	690
11	7501	690
12	7619	690
13	7619	690
14	7762	690
15	7905	690

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

Inputs
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 y -1/3) 0)
(+.f64 0 (*.f64 y -1/3))
(+.f64 (.f64 y -1/6) (.f64 y -1/6))
(-.f64 (*.f64 y -1/3) 0)
(/.f64 (*.f64 y -1/3) 1)
(/.f64 (*.f64 y -2/3) 2)
(/.f64 (*.f64 y -4/3) 4)
(/.f64 (.f64 (.f64 y -1/3) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 y -1/3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y -1/3) 8))) 32)
(pow.f64 (*.f64 y -1/3) 1)
(+.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 0)
(+.f64 0 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/6)) (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/6)))
(-.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 0)
(/.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 1)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -2/3)) 2)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -4/3)) 4)
(/.f64 (.f64 (.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8))) 32)
(pow.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 1)

Outputs
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 y -1/3) 0)
(*.f64 -1/3 y)
(+.f64 0 (*.f64 y -1/3))
(*.f64 -1/3 y)
(+.f64 (.f64 y -1/6) (.f64 y -1/6))
(*.f64 -1/3 y)
(-.f64 (*.f64 y -1/3) 0)
(*.f64 -1/3 y)
(/.f64 (*.f64 y -1/3) 1)
(*.f64 -1/3 y)
(/.f64 (*.f64 y -2/3) 2)
(*.f64 -1/3 y)
(/.f64 (*.f64 y -4/3) 4)
(*.f64 -1/3 y)
(/.f64 (.f64 (.f64 y -1/3) 8) 8)
(*.f64 -1/3 y)
(/.f64 (.f64 2 (.f64 (*.f64 y -1/3) 8)) 16)
(*.f64 -1/3 y)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y -1/3) 8))) 32)
(*.f64 -1/3 y)
(pow.f64 (*.f64 y -1/3) 1)
(*.f64 -1/3 y)
(+.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 0)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 0 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/6)) (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/6)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(-.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 0)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(/.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 1)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -2/3)) 2)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -4/3)) 4)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(/.f64 (.f64 (.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8) 8)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(/.f64 (.f64 2 (.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8)) 16)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 8))) 32)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(pow.f64 (.f64 (.f64 y -1/3) (sqrt.f64 (/.f64 1 x))) 1)
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/3 y))
(.f64 y (.f64 -1/3 (sqrt.f64 (/.f64 1 x))))

eval93.0ms (1.2%)

Compiler: Compiled 4740 to 3465 computations (26.9% saved)

prune71.0ms (0.9%)

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	347	14	361
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	347	25	372

Error

0.0b

Counts

372 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.6b	(/.f64 -1/9 x)
✓	0.5b	(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
✓	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
▶	19.8b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (.f64 x x))))) y))
	21.2b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (sqrt.f64 x) (/.f64 y (.f64 (sqrt.f64 (*.f64 x x)) 3))))
	21.7b	(-.f64 1 (/.f64 1/9 x))
✓	21.7b	(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
▶	41.4b	(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
	54.0b	(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
▶	54.0b	(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
	54.2b	(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
	42.0b	(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
▶	54.2b	(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
✓	41.7b	(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
✓	41.7b	(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
	54.1b	(.f64 x (/.f64 -1/9 (.f64 x x)))
	54.1b	(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
	41.5b	(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
	54.1b	(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
	41.5b	(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
▶	41.5b	(*.f64 -18 (/.f64 1/162 x))
	43.6b	1

Compiler

Compiled 469 to 366 computations (22% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (*.f64 x x)))))
✓	0.4b	(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
	0.4b	(/.f64 1/9 x)
✓	26.7b	(sqrt.f64 (*.f64 x x))

Compiler

Compiled 82 to 43 computations (47.6% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (*.f64 x x)))))
0.0ms	x	@	0	(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 x x))
0.0ms	x	@	inf	(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (*.f64 x x)))))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`rational.json-1`
1342×	`rational.json-2`
1342×	`rational.json-4`
1342×	`rational.json-3`
1334×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	83	61
2	193	61
3	478	61
4	1559	61
5	4770	61

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x x))
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (*.f64 x x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (*.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/18 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (*.f64 (sqrt.f64 (*.f64 x x)) 4)) (/.f64 1/9 (*.f64 (sqrt.f64 (*.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/18 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 6) (*.f64 (sqrt.f64 (*.f64 x x)) 18))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x x)) 18)) 24) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 12) (*.f64 (sqrt.f64 (*.f64 x x)) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x x)) 18)) 24)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x x)) 18)) 24)) (*.f64 2 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x x)) 18)) 24))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 x) 6)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 1)))))

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1462×	`rational.json-simplify-2`
954×	`rational.json-simplify-49`
936×	`rational.json-simplify-41`
804×	`rational.json-simplify-46`
732×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	978
1	224	970
2	796	892
3	4220	892
4	6280	892

Stop Event

1×	node limit

Counts

70 → 56

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 -1/18 x)
(/.f64 -1/18 x)
(/.f64 -1/18 x)
(/.f64 -1/18 x)
(+.f64 (sqrt.f64 (*.f64 x x)) 0)
(+.f64 0 (sqrt.f64 (*.f64 x x)))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 x x)))))
(-.f64 (sqrt.f64 (*.f64 x x)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 x x)) 1)
(.f64 1 (sqrt.f64 (.f64 x x)))
(.f64 (.f64 (sqrt.f64 (*.f64 x x)) 2) 1/2)
(.f64 2 (/.f64 (sqrt.f64 (.f64 x x)) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 x x)) 4) 1/4)
(.f64 (neg.f64 (sqrt.f64 (.f64 x x))) -1)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 x x)) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 x x)) 4))
(/.f64 (sqrt.f64 (*.f64 x x)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 x x)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 x x)) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 x x)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4))) 16)
(pow.f64 (sqrt.f64 (*.f64 x x)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x))))
(+.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 0)
(+.f64 0 (/.f64 1/18 (sqrt.f64 (*.f64 x x))))
(+.f64 (/.f64 1/9 (.f64 (sqrt.f64 (.f64 x x)) 4)) (/.f64 1/9 (.f64 (sqrt.f64 (.f64 x x)) 4)))
(-.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 0)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) 1)
(.f64 1 (/.f64 1/18 (sqrt.f64 (.f64 x x))))
(.f64 2 (/.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) 2))
(.f64 (.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2))
(.f64 (/.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) 2) 2)
(pow.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 1)
(+.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 0)
(+.f64 0 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)))
(-.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 0)
(/.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 1)
(/.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 12)) 2)
(/.f64 (.f64 (sqrt.f64 x) 6) (.f64 (sqrt.f64 (*.f64 x x)) 18))
(/.f64 (.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 (sqrt.f64 (.f64 x x))) -1/18))
(/.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x x)) 18)) 24) 4)
(/.f64 (.f64 (sqrt.f64 x) 12) (.f64 (sqrt.f64 (*.f64 x x)) 36))
(/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x x)) 18)) 24)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x x)) 18)) 24)) (.f64 2 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x x)) 18)) 24))) 16)
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 6)) (neg.f64 (.f64 (sqrt.f64 (*.f64 x x)) 18)))
(pow.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 1)

Outputs
x
x
x
x
x
x
x
x
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 1/18 x)
(/.f64 -1/18 x)
(/.f64 -1/18 x)
(/.f64 -1/18 x)
(/.f64 -1/18 x)
(+.f64 (sqrt.f64 (*.f64 x x)) 0)
(sqrt.f64 (*.f64 x x))
(+.f64 0 (sqrt.f64 (*.f64 x x)))
(sqrt.f64 (*.f64 x x))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 x x)))))
(sqrt.f64 (*.f64 x x))
(-.f64 (sqrt.f64 (*.f64 x x)) 0)
(sqrt.f64 (*.f64 x x))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x x))))
(sqrt.f64 (*.f64 x x))
(.f64 (sqrt.f64 (.f64 x x)) 1)
(sqrt.f64 (*.f64 x x))
(.f64 1 (sqrt.f64 (.f64 x x)))
(sqrt.f64 (*.f64 x x))
(.f64 (.f64 (sqrt.f64 (*.f64 x x)) 2) 1/2)
(sqrt.f64 (*.f64 x x))
(.f64 2 (/.f64 (sqrt.f64 (.f64 x x)) 2))
(sqrt.f64 (*.f64 x x))
(.f64 (.f64 (sqrt.f64 (*.f64 x x)) 4) 1/4)
(sqrt.f64 (*.f64 x x))
(.f64 (neg.f64 (sqrt.f64 (.f64 x x))) -1)
(sqrt.f64 (*.f64 x x))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 x x)) 2))
(sqrt.f64 (*.f64 x x))
(.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) 2)
(sqrt.f64 (*.f64 x x))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 x x)) 4))
(sqrt.f64 (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 x x)) 1)
(sqrt.f64 (*.f64 x x))
(/.f64 (.f64 (sqrt.f64 (.f64 x x)) 2) 2)
(sqrt.f64 (*.f64 x x))
(/.f64 (.f64 (sqrt.f64 (.f64 x x)) 4) 4)
(sqrt.f64 (*.f64 x x))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1)
(sqrt.f64 (*.f64 x x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 x x)) 4)) 8)
(sqrt.f64 (*.f64 x x))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4))) 16)
(sqrt.f64 (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 x x)) 1)
(sqrt.f64 (*.f64 x x))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x))))
(sqrt.f64 (*.f64 x x))
(+.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 0)
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(+.f64 0 (/.f64 1/18 (sqrt.f64 (*.f64 x x))))
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(+.f64 (/.f64 1/9 (.f64 (sqrt.f64 (.f64 x x)) 4)) (/.f64 1/9 (.f64 (sqrt.f64 (.f64 x x)) 4)))
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(-.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 0)
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) 1)
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(.f64 1 (/.f64 1/18 (sqrt.f64 (.f64 x x))))
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(.f64 2 (/.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) 2))
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(.f64 (.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2) 1/2)
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(.f64 1/2 (.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 2))
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(.f64 (/.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) 2) 2)
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(pow.f64 (/.f64 1/18 (sqrt.f64 (*.f64 x x))) 1)
(/.f64 1/18 (sqrt.f64 (*.f64 x x)))
(+.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 0)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(+.f64 0 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)))
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(-.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 0)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 1)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 12)) 2)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (.f64 (sqrt.f64 x) 6) (.f64 (sqrt.f64 (*.f64 x x)) 18))
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 (sqrt.f64 (.f64 x x))) -1/18))
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x x)) 18)) 24) 4)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (.f64 (sqrt.f64 x) 12) (.f64 (sqrt.f64 (*.f64 x x)) 36))
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x x)) 18)) 24)) 8)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x x)) 18)) 24)) (.f64 2 (.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x x)) 18)) 24))) 16)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 6)) (neg.f64 (.f64 (sqrt.f64 (*.f64 x x)) 18)))
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)
(pow.f64 (.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6)) 1)
(.f64 (/.f64 1/18 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 6))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x x))) 1/3)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -18 (/.f64 1/162 x))
✓	0.4b	(/.f64 1/162 x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1/162 x)
0.0ms	x	@	-inf	(/.f64 1/162 x)
0.0ms	x	@	inf	(/.f64 1/162 x)
0.0ms	x	@	0	(*.f64 -18 (/.f64 1/162 x))
0.0ms	x	@	-inf	(*.f64 -18 (/.f64 1/162 x))

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`rational.json-1`
1248×	`rational.json-2`
1248×	`rational.json-3`
1246×	`rational.json-4`
1238×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	49	20
2	120	20
3	273	20
4	585	20
5	1619	20
6	4541	20

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(/.f64 1/162 x)
(*.f64 -18 (/.f64 1/162 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/162 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/162 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 -1/162 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/324 x) (/.f64 1/324 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/162 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/162 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 162 (*.f64 x (*.f64 x 26244))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/162 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/162 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/324 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/81 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 162) (/.f64 1 (*.f64 x (*.f64 x 26244))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 324) (/.f64 1/2 (*.f64 x (*.f64 x 26244))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/162 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/81 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 162 (/.f64 x (*.f64 x (*.f64 x 26244))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 1/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/324 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 81) (/.f64 2 (*.f64 x (*.f64 x 26244))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 81 (/.f64 (+.f64 x x) (*.f64 x (*.f64 x 26244))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 324 (/.f64 x (*.f64 x (*.f64 2 (*.f64 x 26244)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/162 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x 26244))) 162)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (*.f64 x (*.f64 x 26244))) 81)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/162 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 26244))) (*.f64 x 162))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x 26244))) (*.f64 x 81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 162 (*.f64 x (*.f64 x 26244))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x (*.f64 x 26244))) (*.f64 x 324))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 2 (*.f64 x 26244)))) 324)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/162 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/162 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/162 x) -18) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/162 x) -18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/162 x) -9) (*.f64 (/.f64 1/162 x) -9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/162 x) -18) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/162 x) -18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/162 x) -36) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/81 x) -36) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/81 x) -72) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1/81 x) -72)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 1/81 x) -72))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/162 x) -18) 1)))))

simplify116.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-38`
1210×	`rational.json-simplify-2`
942×	`rational.json-simplify-1`
924×	`rational.json-simplify-61`
738×	`rational.json-simplify-35`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	101	782
1	213	782
2	464	734
3	1160	686
4	3513	686
5	4784	686
6	5469	674
7	6765	674

Stop Event

1×	node limit

Counts

56 → 69

Calls

Call 1

Inputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(+.f64 (/.f64 1/162 x) 0)
(+.f64 0 (/.f64 1/162 x))
(+.f64 -1 (-.f64 1 (/.f64 -1/162 x)))
(+.f64 (/.f64 1/324 x) (/.f64 1/324 x))
(-.f64 (/.f64 1/162 x) 0)
(-.f64 0 (/.f64 -1/162 x))
(.f64 x (/.f64 162 (.f64 x (*.f64 x 26244))))
(*.f64 (/.f64 1/162 x) 1)
(*.f64 1 (/.f64 1/162 x))
(*.f64 2 (/.f64 1/324 x))
(*.f64 (/.f64 1/81 x) 1/2)
(.f64 (.f64 x 162) (/.f64 1 (.f64 x (.f64 x 26244))))
(.f64 (.f64 x 324) (/.f64 1/2 (.f64 x (.f64 x 26244))))
(*.f64 4 (/.f64 (/.f64 1/162 x) 4))
(.f64 (.f64 2 (/.f64 1/81 x)) 1/4)
(.f64 162 (/.f64 x (.f64 x (*.f64 x 26244))))
(*.f64 1/2 (/.f64 1/81 x))
(.f64 1/4 (.f64 2 (/.f64 1/81 x)))
(*.f64 (/.f64 1/324 x) 2)
(.f64 (.f64 x 81) (/.f64 2 (.f64 x (.f64 x 26244))))
(.f64 81 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 26244))))
(.f64 324 (/.f64 x (.f64 x (.f64 2 (.f64 x 26244)))))
(*.f64 (/.f64 (/.f64 1/162 x) 4) 4)
(.f64 (/.f64 x (.f64 x (*.f64 x 26244))) 162)
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 26244))) 81)
(*.f64 (/.f64 -1/162 x) -1)
(.f64 (/.f64 1 (.f64 x (.f64 x 26244))) (.f64 x 162))
(.f64 (/.f64 2 (.f64 x (.f64 x 26244))) (.f64 x 81))
(.f64 (/.f64 162 (.f64 x (*.f64 x 26244))) x)
(.f64 (/.f64 1/2 (.f64 x (.f64 x 26244))) (.f64 x 324))
(.f64 (/.f64 x (.f64 x (.f64 2 (.f64 x 26244)))) 324)
(pow.f64 (/.f64 1/162 x) 1)
(neg.f64 (/.f64 -1/162 x))
(+.f64 (*.f64 (/.f64 1/162 x) -18) 0)
(+.f64 0 (*.f64 (/.f64 1/162 x) -18))
(+.f64 (.f64 (/.f64 1/162 x) -9) (.f64 (/.f64 1/162 x) -9))
(-.f64 (*.f64 (/.f64 1/162 x) -18) 0)
(/.f64 (*.f64 (/.f64 1/162 x) -18) 1)
(/.f64 (*.f64 (/.f64 1/162 x) -36) 2)
(/.f64 (*.f64 (/.f64 1/81 x) -36) 4)
(/.f64 (*.f64 (/.f64 1/81 x) -72) 8)
(/.f64 (.f64 2 (.f64 (/.f64 1/81 x) -72)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 1/81 x) -72))) 32)
(pow.f64 (*.f64 (/.f64 1/162 x) -18) 1)

Outputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(+.f64 (/.f64 1/162 x) 0)
(/.f64 1/162 x)
(+.f64 0 (/.f64 1/162 x))
(/.f64 1/162 x)
(+.f64 -1 (-.f64 1 (/.f64 -1/162 x)))
(/.f64 1/162 x)
(+.f64 (/.f64 1/324 x) (/.f64 1/324 x))
(/.f64 1/162 x)
(-.f64 (/.f64 1/162 x) 0)
(/.f64 1/162 x)
(-.f64 0 (/.f64 -1/162 x))
(/.f64 1/162 x)
(.f64 x (/.f64 162 (.f64 x (*.f64 x 26244))))
(.f64 x (/.f64 (/.f64 162 x) (.f64 x 26244)))
(.f64 x (/.f64 1/162 (.f64 x x)))
(*.f64 (/.f64 1/162 x) 1)
(/.f64 1/162 x)
(*.f64 1 (/.f64 1/162 x))
(/.f64 1/162 x)
(*.f64 2 (/.f64 1/324 x))
(/.f64 1/162 x)
(*.f64 (/.f64 1/81 x) 1/2)
(.f64 (.f64 x 162) (/.f64 1 (.f64 x (.f64 x 26244))))
(.f64 (.f64 x 162) (/.f64 (/.f64 1 x) (*.f64 x 26244)))
(.f64 (.f64 x 162) (/.f64 (/.f64 1/26244 x) x))
(.f64 (.f64 x 162) (/.f64 1/26244 (*.f64 x x)))
(.f64 x (.f64 162 (/.f64 (/.f64 1/26244 x) x)))
(.f64 (.f64 x 324) (/.f64 1/2 (.f64 x (.f64 x 26244))))
(.f64 (.f64 x 324) (/.f64 (/.f64 1/52488 x) x))
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 4 (/.f64 (/.f64 1/162 x) 4))
(/.f64 1/162 x)
(.f64 (.f64 2 (/.f64 1/81 x)) 1/4)
(*.f64 (/.f64 1/81 x) 1/2)
(.f64 162 (/.f64 x (.f64 x (*.f64 x 26244))))
(.f64 162 (/.f64 (/.f64 x x) (.f64 x 26244)))
(*.f64 162 (/.f64 1/26244 x))
(*.f64 1/2 (/.f64 1/81 x))
(*.f64 (/.f64 1/81 x) 1/2)
(.f64 1/4 (.f64 2 (/.f64 1/81 x)))
(*.f64 (/.f64 1/81 x) 1/2)
(*.f64 (/.f64 1/324 x) 2)
(/.f64 1/162 x)
(.f64 (.f64 x 81) (/.f64 2 (.f64 x (.f64 x 26244))))
(.f64 81 (.f64 (/.f64 2 (.f64 x (.f64 x 26244))) x))
(.f64 81 (.f64 x (/.f64 (/.f64 1/13122 x) x)))
(.f64 x (.f64 81 (/.f64 (/.f64 1/13122 x) x)))
(.f64 x (.f64 81 (/.f64 1/13122 (*.f64 x x))))
(.f64 81 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 26244))))
(.f64 81 (/.f64 (/.f64 (+.f64 x x) x) (.f64 x 26244)))
(.f64 81 (/.f64 (.f64 x 4) (.f64 x (.f64 x 52488))))
(.f64 81 (/.f64 (.f64 2 (/.f64 1 x)) 26244))
(.f64 324 (/.f64 x (.f64 x (.f64 2 (.f64 x 26244)))))
(.f64 324 (/.f64 x (.f64 x (*.f64 x 52488))))
(.f64 324 (/.f64 (/.f64 x x) (.f64 x 52488)))
(*.f64 324 (/.f64 1/52488 x))
(*.f64 (/.f64 (/.f64 1/162 x) 4) 4)
(/.f64 1/162 x)
(.f64 (/.f64 x (.f64 x (*.f64 x 26244))) 162)
(.f64 162 (/.f64 (/.f64 x x) (.f64 x 26244)))
(*.f64 162 (/.f64 1/26244 x))
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 26244))) 81)
(.f64 81 (/.f64 (/.f64 (+.f64 x x) x) (.f64 x 26244)))
(.f64 81 (/.f64 (.f64 x 4) (.f64 x (.f64 x 52488))))
(.f64 81 (/.f64 (.f64 2 (/.f64 1 x)) 26244))
(*.f64 (/.f64 -1/162 x) -1)
(/.f64 1/162 x)
(.f64 (/.f64 1 (.f64 x (.f64 x 26244))) (.f64 x 162))
(.f64 (.f64 x 162) (/.f64 (/.f64 1 x) (*.f64 x 26244)))
(.f64 (.f64 x 162) (/.f64 (/.f64 1/26244 x) x))
(.f64 (.f64 x 162) (/.f64 1/26244 (*.f64 x x)))
(.f64 x (.f64 162 (/.f64 (/.f64 1/26244 x) x)))
(.f64 (/.f64 2 (.f64 x (.f64 x 26244))) (.f64 x 81))
(.f64 (.f64 x 81) (/.f64 2 (.f64 x (.f64 x 26244))))
(.f64 81 (.f64 (/.f64 2 (.f64 x (.f64 x 26244))) x))
(.f64 81 (.f64 x (/.f64 (/.f64 1/13122 x) x)))
(.f64 x (.f64 81 (/.f64 (/.f64 1/13122 x) x)))
(.f64 x (.f64 81 (/.f64 1/13122 (*.f64 x x))))
(.f64 (/.f64 162 (.f64 x (*.f64 x 26244))) x)
(.f64 x (/.f64 (/.f64 162 x) (.f64 x 26244)))
(.f64 x (/.f64 1/162 (.f64 x x)))
(.f64 (/.f64 1/2 (.f64 x (.f64 x 26244))) (.f64 x 324))
(.f64 (.f64 x 324) (/.f64 1/2 (.f64 x (.f64 x 26244))))
(.f64 (.f64 x 324) (/.f64 (/.f64 1/52488 x) x))
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(.f64 (/.f64 x (.f64 x (.f64 2 (.f64 x 26244)))) 324)
(.f64 324 (/.f64 x (.f64 x (*.f64 x 52488))))
(.f64 324 (/.f64 (/.f64 x x) (.f64 x 52488)))
(*.f64 324 (/.f64 1/52488 x))
(pow.f64 (/.f64 1/162 x) 1)
(/.f64 1/162 x)
(neg.f64 (/.f64 -1/162 x))
(/.f64 1/162 x)
(+.f64 (*.f64 (/.f64 1/162 x) -18) 0)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(+.f64 0 (*.f64 (/.f64 1/162 x) -18))
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(+.f64 (.f64 (/.f64 1/162 x) -9) (.f64 (/.f64 1/162 x) -9))
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(-.f64 (*.f64 (/.f64 1/162 x) -18) 0)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(/.f64 (*.f64 (/.f64 1/162 x) -18) 1)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(/.f64 (*.f64 (/.f64 1/162 x) -36) 2)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(/.f64 (*.f64 (/.f64 1/81 x) -36) 4)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(/.f64 (*.f64 (/.f64 1/81 x) -72) 8)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(/.f64 (.f64 2 (.f64 (/.f64 1/81 x) -72)) 16)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 1/81 x) -72))) 32)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)
(pow.f64 (*.f64 (/.f64 1/162 x) -18) 1)
(*.f64 (/.f64 1/162 x) -18)
(*.f64 (/.f64 1/324 x) -36)
(*.f64 (/.f64 -1/162 x) 18)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/9 x)
✓	2.4b	(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))

Compiler

Compiled 21 to 17 computations (19% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`rational.json-1`
1312×	`rational.json-2`
1312×	`rational.json-3`
1310×	`rational.json-4`
1302×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	72	19
2	169	13
3	344	11
4	719	11
5	1926	11
6	5085	11

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 1/9 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (neg.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (neg.f64 (/.f64 1/9 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (neg.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (neg.f64 (/.f64 1/9 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 1/9 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/9 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/9 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (/.f64 1/9 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (neg.f64 (/.f64 1/9 x)) 8)) (*.f64 2 (*.f64 (neg.f64 (/.f64 1/9 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/9 x))))))

simplify301.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1314×	`rational.json-simplify-1`
1298×	`rational.json-simplify-2`
1046×	`rational.json-simplify-48`
846×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	273
1	122	273
2	475	273
3	1690	273
4	3046	273
5	4464	273
6	5526	273
7	6459	273
8	7194	273
9	7416	273
10	7583	273

Stop Event

1×	node limit

Counts

39 → 28

Calls

Call 1

Inputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(-.f64 -1 (+.f64 -1 (/.f64 1/9 x)))
(-.f64 1 (+.f64 1 (/.f64 1/9 x)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) 1)
(-.f64 (neg.f64 (/.f64 1/9 x)) 0)
(-.f64 0 (/.f64 1/9 x))
(*.f64 -1 (/.f64 1/9 x))
(*.f64 1 (neg.f64 (/.f64 1/9 x)))
(*.f64 (/.f64 1/9 x) -1)
(*.f64 (neg.f64 (/.f64 1/9 x)) 1)
(.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 1/2))
(.f64 (.f64 (neg.f64 (/.f64 1/9 x)) 2) 1/2)
(*.f64 4 (/.f64 (neg.f64 (/.f64 1/9 x)) 4))
(.f64 (.f64 (neg.f64 (/.f64 1/9 x)) 4) 1/4)
(.f64 1/2 (.f64 (neg.f64 (/.f64 1/9 x)) 2))
(.f64 (.f64 (neg.f64 (/.f64 1/9 x)) 1/2) 2)
(.f64 1/4 (.f64 (neg.f64 (/.f64 1/9 x)) 4))
(*.f64 (/.f64 (neg.f64 (/.f64 1/9 x)) 4) 4)
(/.f64 (/.f64 1/9 x) -1)
(/.f64 (neg.f64 (/.f64 1/9 x)) 1)
(/.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 2) 2)
(/.f64 (/.f64 2/9 x) -2)
(/.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 4) 4)
(/.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 8)) (.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 8))) 32)
(pow.f64 (neg.f64 (/.f64 1/9 x)) 1)
(neg.f64 (/.f64 1/9 x))

Outputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(-.f64 -1 (+.f64 -1 (/.f64 1/9 x)))
(/.f64 -1/9 x)
(-.f64 1 (+.f64 1 (/.f64 1/9 x)))
(/.f64 -1/9 x)
(-.f64 (-.f64 1 (/.f64 1/9 x)) 1)
(/.f64 -1/9 x)
(-.f64 (neg.f64 (/.f64 1/9 x)) 0)
(/.f64 -1/9 x)
(-.f64 0 (/.f64 1/9 x))
(/.f64 -1/9 x)
(*.f64 -1 (/.f64 1/9 x))
(/.f64 -1/9 x)
(*.f64 1 (neg.f64 (/.f64 1/9 x)))
(/.f64 -1/9 x)
(*.f64 (/.f64 1/9 x) -1)
(/.f64 -1/9 x)
(*.f64 (neg.f64 (/.f64 1/9 x)) 1)
(/.f64 -1/9 x)
(.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 1/2))
(/.f64 -1/9 x)
(.f64 (.f64 (neg.f64 (/.f64 1/9 x)) 2) 1/2)
(/.f64 -1/9 x)
(*.f64 4 (/.f64 (neg.f64 (/.f64 1/9 x)) 4))
(/.f64 -1/9 x)
(.f64 (.f64 (neg.f64 (/.f64 1/9 x)) 4) 1/4)
(/.f64 -1/9 x)
(.f64 1/2 (.f64 (neg.f64 (/.f64 1/9 x)) 2))
(/.f64 -1/9 x)
(.f64 (.f64 (neg.f64 (/.f64 1/9 x)) 1/2) 2)
(/.f64 -1/9 x)
(.f64 1/4 (.f64 (neg.f64 (/.f64 1/9 x)) 4))
(/.f64 -1/9 x)
(*.f64 (/.f64 (neg.f64 (/.f64 1/9 x)) 4) 4)
(/.f64 -1/9 x)
(/.f64 (/.f64 1/9 x) -1)
(/.f64 -1/9 x)
(/.f64 (neg.f64 (/.f64 1/9 x)) 1)
(/.f64 -1/9 x)
(/.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 2) 2)
(/.f64 -1/9 x)
(/.f64 (/.f64 2/9 x) -2)
(/.f64 -1/9 x)
(/.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 4) 4)
(/.f64 -1/9 x)
(/.f64 (*.f64 (neg.f64 (/.f64 1/9 x)) 8) 8)
(/.f64 -1/9 x)
(/.f64 (.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 8)) 16)
(/.f64 -1/9 x)
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 8)) (.f64 2 (.f64 (neg.f64 (/.f64 1/9 x)) 8))) 32)
(/.f64 -1/9 x)
(pow.f64 (neg.f64 (/.f64 1/9 x)) 1)
(/.f64 -1/9 x)
(neg.f64 (/.f64 1/9 x))
(/.f64 -1/9 x)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 81))
✓	0.2b	(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
✓	27.2b	(/.f64 x (.f64 x (.f64 x 81)))

Compiler

Compiled 29 to 19 computations (34.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (.f64 x 81))
0.0ms	x	@	0	(/.f64 x (.f64 x (.f64 x 81)))
0.0ms	x	@	inf	(.f64 x (.f64 x 81))
0.0ms	x	@	-inf	(/.f64 x (.f64 x (.f64 x 81)))
0.0ms	x	@	inf	(/.f64 x (.f64 x (.f64 x 81)))

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`rational.json-simplify-2`
1222×	`rational.json-1`
1222×	`rational.json-2`
1222×	`rational.json-4`
1222×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	64	57
2	172	33
3	604	33
4	1910	33
5	4749	33

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(/.f64 x (.f64 x (.f64 x 81)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(.f64 x (.f64 x 81))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/81 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 -1/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 x (*.f64 x 162))) (/.f64 x (*.f64 x (*.f64 x 162))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/81 (+.f64 x x)) (/.f64 1/81 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/81 x) 2) (/.f64 (/.f64 1/81 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/81 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 1/81 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/81 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (/.f64 1/81 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 1/81 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (*.f64 x 162))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/81 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/81 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 (/.f64 1/81 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/81 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/81)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/81 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (/.f64 1/81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/81 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/81 x) (+.f64 x x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1/81 x) x) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/81 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x 162))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/81 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 324))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 x (/.f64 1/81 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (/.f64 1/81 x) (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/81 x) -9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/81 x) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 1/81 x) -9) 2) (/.f64 (*.f64 (/.f64 1/81 x) -9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/81 x) -9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/81 x) -9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/81 x) -18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/81 x) -36) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1/81 x) -36)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 1/81 x) -36))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/81 x) -9) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 1/81 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 1/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 81 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x (/.f64 1/81 x)) 2) (/.f64 (/.f64 x (/.f64 1/81 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 1/81 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 81 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (neg.f64 (/.f64 1/81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 81) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 81) (neg.f64 (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 1/81 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 2/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 162)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 162) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 162) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 324)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 1/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 81 (*.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 81)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (neg.f64 (/.f64 2/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 x 324)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 162) (neg.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 x (*.f64 x (*.f64 x 162))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (/.f64 1/81 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 81/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x x) (*.f64 x 324))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 162)) (neg.f64 (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 162)) (neg.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (/.f64 1/81 x)) (/.f64 x (/.f64 1/81 x))) (/.f64 x (/.f64 1/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 81/2)) (neg.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 (/.f64 (/.f64 1/81 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (-.f64 0 (/.f64 x (*.f64 x (*.f64 x 162)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 1/81 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 81 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 x (/.f64 1/81 x)))))))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational.json-simplify-53`
1468×	`rational.json-simplify-51`
1104×	`rational.json-simplify-35`
966×	`rational.json-simplify-49`
782×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1194
1	452	1194
2	1325	1194
3	4623	1194

Stop Event

1×	node limit

Counts

120 → 90

Calls

Call 1

Inputs
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(+.f64 (/.f64 1/81 x) 0)
(+.f64 0 (/.f64 1/81 x))
(+.f64 -1 (-.f64 1 (/.f64 -1/81 x)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x)))))
(+.f64 (/.f64 x (.f64 x (.f64 x 162))) (/.f64 x (.f64 x (.f64 x 162))))
(+.f64 (/.f64 1/81 (+.f64 x x)) (/.f64 1/81 (+.f64 x x)))
(+.f64 (/.f64 (/.f64 1/81 x) 2) (/.f64 (/.f64 1/81 x) 2))
(-.f64 (/.f64 1/81 x) 0)
(-.f64 0 (/.f64 -1/81 x))
(-.f64 0 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))
(*.f64 x (/.f64 (/.f64 1/81 x) x))
(*.f64 (/.f64 1/81 x) 1)
(*.f64 1 (/.f64 1/81 x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/81 x) (+.f64 x x)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1/81 x) x) 1/2))
(.f64 2 (/.f64 x (.f64 x (*.f64 x 162))))
(*.f64 2 (/.f64 1/81 (+.f64 x x)))
(*.f64 2 (/.f64 (/.f64 1/81 x) 2))
(.f64 2 (.f64 x (/.f64 (/.f64 1/81 x) (+.f64 x x))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 x 324))))
(*.f64 1/81 (/.f64 1 x))
(*.f64 (/.f64 1 x) 1/81)
(*.f64 (/.f64 (/.f64 1/81 x) x) x)
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (/.f64 1/81 x))))
(*.f64 -1 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))
(*.f64 (/.f64 2/81 x) 1/2)
(*.f64 1/2 (/.f64 2/81 x))
(*.f64 (/.f64 (/.f64 1/81 x) (+.f64 x x)) (+.f64 x x))
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) 1/2) (+.f64 x x))
(*.f64 (/.f64 -1/81 x) -1)
(*.f64 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))) -1)
(.f64 (/.f64 x (.f64 x (*.f64 x 162))) 2)
(*.f64 (/.f64 (/.f64 1/81 x) 2) 2)
(.f64 (/.f64 1 (.f64 x (.f64 x 324))) (.f64 x 4))
(*.f64 (/.f64 -1 (/.f64 x (/.f64 1/81 x))) (neg.f64 x))
(.f64 (.f64 x (/.f64 (/.f64 1/81 x) (+.f64 x x))) 2)
(pow.f64 (/.f64 1/81 x) 1)
(neg.f64 (/.f64 -1/81 x))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))
(+.f64 (*.f64 (/.f64 1/81 x) -9) 0)
(+.f64 0 (*.f64 (/.f64 1/81 x) -9))
(+.f64 (/.f64 (.f64 (/.f64 1/81 x) -9) 2) (/.f64 (.f64 (/.f64 1/81 x) -9) 2))
(-.f64 (*.f64 (/.f64 1/81 x) -9) 0)
(/.f64 (*.f64 (/.f64 1/81 x) -9) 1)
(/.f64 (*.f64 (/.f64 1/81 x) -18) 2)
(/.f64 (*.f64 (/.f64 1/81 x) -36) 4)
(/.f64 (.f64 2 (.f64 (/.f64 1/81 x) -36)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 1/81 x) -36))) 16)
(pow.f64 (*.f64 (/.f64 1/81 x) -9) 1)
(+.f64 (/.f64 x (/.f64 1/81 x)) 0)
(+.f64 0 (/.f64 x (/.f64 1/81 x)))
(+.f64 -1 (-.f64 1 (.f64 81 (.f64 x (neg.f64 x)))))
(+.f64 (/.f64 (/.f64 x (/.f64 1/81 x)) 2) (/.f64 (/.f64 x (/.f64 1/81 x)) 2))
(-.f64 (/.f64 x (/.f64 1/81 x)) 0)
(-.f64 0 (.f64 81 (.f64 x (neg.f64 x))))
(/.f64 x (/.f64 1/81 x))
(/.f64 x (neg.f64 (neg.f64 (/.f64 1/81 x))))
(/.f64 (*.f64 x 81) (/.f64 1 x))
(/.f64 (*.f64 x 81) (neg.f64 (neg.f64 (/.f64 1 x))))
(/.f64 (/.f64 x (/.f64 1/81 x)) 1)
(/.f64 (+.f64 x x) (/.f64 2/81 x))
(/.f64 (.f64 x (.f64 x 162)) 2)
(/.f64 (.f64 x 162) (.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 x 162) (/.f64 2 x))
(/.f64 (.f64 x (.f64 x 324)) 4)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1/81 x)))
(/.f64 (.f64 81 (.f64 x (neg.f64 x))) -1)
(/.f64 (neg.f64 (*.f64 x 81)) (neg.f64 (/.f64 1 x)))
(/.f64 (*.f64 x -2) (neg.f64 (/.f64 2/81 x)))
(/.f64 (.f64 (+.f64 x x) (.f64 x 324)) 8)
(/.f64 (.f64 (.f64 x 162) (neg.f64 x)) -2)
(/.f64 (.f64 x 1/2) (/.f64 x (.f64 x (*.f64 x 162))))
(/.f64 (*.f64 x 1/2) (/.f64 (/.f64 1/81 x) 2))
(/.f64 (*.f64 x 81/2) (/.f64 1/2 x))
(/.f64 (.f64 2 (.f64 (+.f64 x x) (*.f64 x 324))) 16)
(/.f64 (neg.f64 (.f64 x 162)) (neg.f64 (.f64 2 (/.f64 1 x))))
(/.f64 (neg.f64 (*.f64 x 162)) (neg.f64 (/.f64 2 x)))
(/.f64 (*.f64 (/.f64 x (/.f64 1/81 x)) (/.f64 x (/.f64 1/81 x))) (/.f64 x (/.f64 1/81 x)))
(/.f64 (neg.f64 (*.f64 x 81/2)) (neg.f64 (/.f64 1/2 x)))
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 (/.f64 (/.f64 1/81 x) 2)))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (/.f64 x (.f64 x (*.f64 x 162)))))
(pow.f64 (/.f64 x (/.f64 1/81 x)) 1)
(neg.f64 (.f64 81 (.f64 x (neg.f64 x))))
(fabs.f64 (/.f64 x (/.f64 1/81 x)))

Outputs
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 1/81 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(+.f64 (/.f64 1/81 x) 0)
(/.f64 1/81 x)
(+.f64 0 (/.f64 1/81 x))
(/.f64 1/81 x)
(+.f64 -1 (-.f64 1 (/.f64 -1/81 x)))
(/.f64 1/81 x)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x)))))
(/.f64 1/81 x)
(+.f64 (/.f64 x (.f64 x (.f64 x 162))) (/.f64 x (.f64 x (.f64 x 162))))
(/.f64 1/81 x)
(+.f64 (/.f64 1/81 (+.f64 x x)) (/.f64 1/81 (+.f64 x x)))
(/.f64 1/81 x)
(+.f64 (/.f64 (/.f64 1/81 x) 2) (/.f64 (/.f64 1/81 x) 2))
(/.f64 1/81 x)
(-.f64 (/.f64 1/81 x) 0)
(/.f64 1/81 x)
(-.f64 0 (/.f64 -1/81 x))
(/.f64 1/81 x)
(-.f64 0 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))
(/.f64 1/81 x)
(*.f64 x (/.f64 (/.f64 1/81 x) x))
(/.f64 1/81 x)
(*.f64 (/.f64 1/81 x) 1)
(/.f64 1/81 x)
(*.f64 1 (/.f64 1/81 x))
(/.f64 1/81 x)
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/81 x) (+.f64 x x)))
(/.f64 1/81 x)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1/81 x) x) 1/2))
(/.f64 1/81 x)
(.f64 2 (/.f64 x (.f64 x (*.f64 x 162))))
(/.f64 1/81 x)
(*.f64 2 (/.f64 1/81 (+.f64 x x)))
(/.f64 1/81 x)
(*.f64 2 (/.f64 (/.f64 1/81 x) 2))
(/.f64 1/81 x)
(.f64 2 (.f64 x (/.f64 (/.f64 1/81 x) (+.f64 x x))))
(/.f64 1/81 x)
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 x 324))))
(/.f64 1/81 x)
(*.f64 1/81 (/.f64 1 x))
(*.f64 (/.f64 1 x) 1/81)
(*.f64 1/81 (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1/81 x) x) x)
(/.f64 1/81 x)
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (/.f64 1/81 x))))
(/.f64 1/81 x)
(*.f64 -1 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))
(/.f64 1/81 x)
(*.f64 (/.f64 2/81 x) 1/2)
(/.f64 1/81 x)
(*.f64 1/2 (/.f64 2/81 x))
(/.f64 1/81 x)
(*.f64 (/.f64 (/.f64 1/81 x) (+.f64 x x)) (+.f64 x x))
(/.f64 1/81 x)
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) 1/2) (+.f64 x x))
(/.f64 1/81 x)
(*.f64 (/.f64 -1/81 x) -1)
(/.f64 1/81 x)
(*.f64 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))) -1)
(/.f64 1/81 x)
(.f64 (/.f64 x (.f64 x (*.f64 x 162))) 2)
(/.f64 1/81 x)
(*.f64 (/.f64 (/.f64 1/81 x) 2) 2)
(/.f64 1/81 x)
(.f64 (/.f64 1 (.f64 x (.f64 x 324))) (.f64 x 4))
(/.f64 1/81 x)
(*.f64 (/.f64 -1 (/.f64 x (/.f64 1/81 x))) (neg.f64 x))
(/.f64 1/81 x)
(.f64 (.f64 x (/.f64 (/.f64 1/81 x) (+.f64 x x))) 2)
(/.f64 1/81 x)
(pow.f64 (/.f64 1/81 x) 1)
(/.f64 1/81 x)
(neg.f64 (/.f64 -1/81 x))
(/.f64 1/81 x)
(neg.f64 (/.f64 (neg.f64 x) (/.f64 x (/.f64 1/81 x))))
(/.f64 1/81 x)
(+.f64 (*.f64 (/.f64 1/81 x) -9) 0)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(+.f64 0 (*.f64 (/.f64 1/81 x) -9))
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(+.f64 (/.f64 (.f64 (/.f64 1/81 x) -9) 2) (/.f64 (.f64 (/.f64 1/81 x) -9) 2))
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(-.f64 (*.f64 (/.f64 1/81 x) -9) 0)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(/.f64 (*.f64 (/.f64 1/81 x) -9) 1)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(/.f64 (*.f64 (/.f64 1/81 x) -18) 2)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(/.f64 (*.f64 (/.f64 1/81 x) -36) 4)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(/.f64 (.f64 2 (.f64 (/.f64 1/81 x) -36)) 8)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 1/81 x) -36))) 16)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(pow.f64 (*.f64 (/.f64 1/81 x) -9) 1)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 1/162 x) -18)
(+.f64 (/.f64 x (/.f64 1/81 x)) 0)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(+.f64 0 (/.f64 x (/.f64 1/81 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(+.f64 -1 (-.f64 1 (.f64 81 (.f64 x (neg.f64 x)))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(+.f64 (/.f64 (/.f64 x (/.f64 1/81 x)) 2) (/.f64 (/.f64 x (/.f64 1/81 x)) 2))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(-.f64 (/.f64 x (/.f64 1/81 x)) 0)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(-.f64 0 (.f64 81 (.f64 x (neg.f64 x))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 x (neg.f64 (neg.f64 (/.f64 1/81 x))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (*.f64 x 81) (/.f64 1 x))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (*.f64 x 81) (neg.f64 (neg.f64 (/.f64 1 x))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (/.f64 x (/.f64 1/81 x)) 1)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (+.f64 x x) (/.f64 2/81 x))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 x (.f64 x 162)) 2)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 x 162) (.f64 2 (/.f64 1 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (*.f64 x 162) (/.f64 2 x))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 x (.f64 x 324)) 4)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1/81 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 81 (.f64 x (neg.f64 x))) -1)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (neg.f64 (*.f64 x 81)) (neg.f64 (/.f64 1 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (*.f64 x -2) (neg.f64 (/.f64 2/81 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 (+.f64 x x) (.f64 x 324)) 8)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 (.f64 x 162) (neg.f64 x)) -2)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 x 1/2) (/.f64 x (.f64 x (*.f64 x 162))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (*.f64 x 1/2) (/.f64 (/.f64 1/81 x) 2))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (*.f64 x 81/2) (/.f64 1/2 x))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (.f64 2 (.f64 (+.f64 x x) (*.f64 x 324))) 16)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (neg.f64 (.f64 x 162)) (neg.f64 (.f64 2 (/.f64 1 x))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (neg.f64 (*.f64 x 162)) (neg.f64 (/.f64 2 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (*.f64 (/.f64 x (/.f64 1/81 x)) (/.f64 x (/.f64 1/81 x))) (/.f64 x (/.f64 1/81 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (neg.f64 (*.f64 x 81/2)) (neg.f64 (/.f64 1/2 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 (/.f64 (/.f64 1/81 x) 2)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (/.f64 x (.f64 x (*.f64 x 162)))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(pow.f64 (/.f64 x (/.f64 1/81 x)) 1)
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(neg.f64 (.f64 81 (.f64 x (neg.f64 x))))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))
(fabs.f64 (/.f64 x (/.f64 1/81 x)))
(/.f64 x (/.f64 1/81 x))
(.f64 x (.f64 x 81))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 x) (*.f64 x 81))
✓	26.8b	(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))

Compiler

Compiled 33 to 24 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (/.f64 1 x) (*.f64 x 81))
0.0ms	x	@	0	(/.f64 (/.f64 1 x) (*.f64 x 81))
0.0ms	x	@	0	(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
0.0ms	x	@	inf	(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
0.0ms	x	@	-inf	(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`exponential.json-3`
1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`
1296×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	93	38
2	268	38
3	860	26
4	3859	26

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(/.f64 (/.f64 1 x) (*.f64 x 81))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9 (/.f64 1/81 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -9 (/.f64 1/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -9 (/.f64 1/81 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -9) (*.f64 x (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 -9 (/.f64 1/81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 81) (*.f64 x (/.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 (*.f64 x -1/9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (*.f64 x 81) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/81 x) x) (/.f64 1 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9 (/.f64 1/81 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (*.f64 x 162) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (*.f64 -9 (/.f64 1/81 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 x (*.f64 x 162)) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 x 162) (*.f64 x (/.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x x) (/.f64 (*.f64 x -1/9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 x x)) (/.f64 81 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/81 x) -18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -18) (*.f64 x (*.f64 x 162)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 x 324) (*.f64 x (/.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 x 4) (/.f64 (*.f64 x -1/9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2/81 x) x) (/.f64 2 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/81 x) (/.f64 (+.f64 x x) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (*.f64 -9 (/.f64 1/81 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (*.f64 x 81) (neg.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/81 x) (/.f64 x (neg.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -9 (/.f64 1/81 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -9) 4) (*.f64 (*.f64 x x) 324))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -9) 4) (*.f64 4 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/81 x) (/.f64 (*.f64 x 4) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -9 x)) (*.f64 x 81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/9) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/9) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -9)) (neg.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 -9 (/.f64 1/81 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (/.f64 -9 x))) (*.f64 x 162))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x -1/9)) (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 x -9))) (*.f64 2 (neg.f64 (*.f64 x (*.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x -1/9) x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -18) x) (*.f64 x 162))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -18) (*.f64 x 81)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x -9) 4) (*.f64 x (*.f64 x 81))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -9) (*.f64 x x)) 81)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -18) 81) (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 -9 x)) (*.f64 x 162)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 -9 x)) (+.f64 x x)) 81/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 -9 x)) 162) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x -1/9) x) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -18)) (neg.f64 (*.f64 x (*.f64 x 162))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 -9 x))) (neg.f64 (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -1/9)) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x -1/9) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -9))) (*.f64 x (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -9))) (-.f64 0 (neg.f64 (*.f64 x (*.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x -9) 4)) (-.f64 0 (*.f64 (*.f64 x x) 324)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x -18) x)) (neg.f64 (*.f64 x 162)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x -18) (*.f64 x 81))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x -18) 81)) (neg.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -18))) (*.f64 x (*.f64 x 162)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 x (/.f64 -9 x)))) (neg.f64 (*.f64 x 162)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 x -1/9))) (neg.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 x -1/9) x))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x (/.f64 -9 x)) 162)) (-.f64 0 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x (/.f64 -9 x)))) (*.f64 x 81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -1/9))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x -1/9) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x -9)))) (neg.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9 (/.f64 1/81 x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/81 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1/81 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/81 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (*.f64 x (*.f64 x (*.f64 x 162)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1/81 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/81 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1/162 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 1/81 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) (*.f64 x 162)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 x 162)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 1/81 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 x 162)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/81 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) 1/81)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (/.f64 1/81 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2/81 x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 x 324)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/81 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) 1/162)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (*.f64 x 162)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/81 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1 x) (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 x) (*.f64 81 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1/81 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 -1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/81 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/81 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 2/81 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 2/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/162 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/81 x) 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (*.f64 x 81)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (*.f64 81 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/81 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/162 (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (*.f64 x 162)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x 162)) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 x 162)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x (*.f64 x 162)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x (*.f64 x 162)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1/81 x) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 324)) (*.f64 (/.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/81 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (*.f64 81 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/81 x) x))))))

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

930×	`rational.json-simplify-35`
912×	`rational.json-simplify-50`
912×	`rational.json-simplify-43`
892×	`rational.json-simplify-2`
780×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	1665
1	908	1641
2	3060	1629
3	5111	1629
4	7246	1629

Stop Event

1×	node limit

Counts

141 → 133

Calls

Call 1

Inputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(+.f64 (*.f64 -9 (/.f64 1/81 x)) 0)
(+.f64 0 (*.f64 -9 (/.f64 1/81 x)))
(-.f64 (*.f64 -9 (/.f64 1/81 x)) 0)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 1 (/.f64 1 (*.f64 -9 (/.f64 1/81 x))))
(/.f64 1 (/.f64 (.f64 x 81) (.f64 x (/.f64 -9 x))))
(/.f64 1 (/.f64 (.f64 x x) (.f64 x -1/9)))
(/.f64 1 (/.f64 x (/.f64 (*.f64 x -1/9) x)))
(/.f64 (/.f64 1 x) (/.f64 (.f64 x 81) (.f64 x -9)))
(/.f64 (/.f64 (/.f64 1/81 x) x) (/.f64 1 (*.f64 x -9)))
(/.f64 (*.f64 -9 (/.f64 1/81 x)) 1)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(/.f64 2 (.f64 2 (/.f64 1 (.f64 -9 (/.f64 1/81 x)))))
(/.f64 2 (/.f64 (.f64 x (.f64 x 162)) (*.f64 x -9)))
(/.f64 2 (/.f64 (.f64 x 162) (.f64 x (/.f64 -9 x))))
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 (*.f64 x -1/9) x)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 81 (.f64 x -9)))
(/.f64 (*.f64 (/.f64 1/81 x) -18) 2)
(/.f64 (.f64 x -18) (.f64 x (*.f64 x 162)))
(/.f64 4 (/.f64 (.f64 x 324) (.f64 x (/.f64 -9 x))))
(/.f64 4 (/.f64 (.f64 x 4) (/.f64 (.f64 x -1/9) x)))
(/.f64 (/.f64 (/.f64 2/81 x) x) (/.f64 2 (*.f64 x -9)))
(/.f64 (/.f64 2/81 x) (/.f64 (+.f64 x x) (*.f64 x -9)))
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 -9 (/.f64 1/81 x)))))
(/.f64 (/.f64 -1 x) (/.f64 (.f64 x 81) (neg.f64 (.f64 x -9))))
(/.f64 (/.f64 -1/81 x) (/.f64 x (neg.f64 (*.f64 x -9))))
(/.f64 (.f64 (.f64 -9 (/.f64 1/81 x)) 4) 4)
(/.f64 (.f64 (.f64 x -9) 4) (.f64 (.f64 x x) 324))
(/.f64 (.f64 (.f64 x -9) 4) (.f64 4 (.f64 x (*.f64 x 81))))
(/.f64 (/.f64 4/81 x) (/.f64 (.f64 x 4) (.f64 x -9)))
(/.f64 (.f64 x (/.f64 -9 x)) (.f64 x 81))
(/.f64 (.f64 x -1/9) (.f64 x x))
(/.f64 (/.f64 (*.f64 x -1/9) x) x)
(/.f64 (neg.f64 (.f64 x -9)) (neg.f64 (.f64 x (*.f64 x 81))))
(/.f64 (.f64 2 (.f64 (*.f64 -9 (/.f64 1/81 x)) 4)) 8)
(/.f64 (.f64 2 (.f64 x (/.f64 -9 x))) (*.f64 x 162))
(/.f64 (.f64 2 (.f64 x -1/9)) (.f64 2 (.f64 x x)))
(/.f64 (.f64 2 (neg.f64 (.f64 x -9))) (.f64 2 (neg.f64 (.f64 x (*.f64 x 81)))))
(/.f64 (.f64 2 (/.f64 (.f64 x -1/9) x)) (+.f64 x x))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -18) (.f64 x 81)) (+.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 x -9) 4) (.f64 x (.f64 x 81))) 4)
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (.f64 x -18) 81) (.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(/.f64 (/.f64 (.f64 x (/.f64 -9 x)) (.f64 x 162)) 1/2)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) (+.f64 x x)) 81/2)
(/.f64 (/.f64 (.f64 x (/.f64 -9 x)) 162) (.f64 x 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 x -1/9) x) (+.f64 x x)) 1/2)
(/.f64 (neg.f64 (.f64 x -18)) (neg.f64 (.f64 x (*.f64 x 162))))
(/.f64 (neg.f64 (.f64 x (/.f64 -9 x))) (neg.f64 (.f64 x 81)))
(/.f64 (neg.f64 (.f64 x -1/9)) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x -1/9) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 x -9))) (.f64 x (*.f64 x 81)))
(/.f64 (neg.f64 (neg.f64 (.f64 x -9))) (-.f64 0 (neg.f64 (.f64 x (*.f64 x 81)))))
(/.f64 (neg.f64 (.f64 (.f64 x -9) 4)) (-.f64 0 (.f64 (.f64 x x) 324)))
(/.f64 (neg.f64 (/.f64 (.f64 x -18) x)) (neg.f64 (.f64 x 162)))
(/.f64 (neg.f64 (/.f64 (.f64 x -18) (.f64 x 81))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 x -18) 81)) (neg.f64 (.f64 2 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x -18))) (.f64 x (*.f64 x 162)))
(/.f64 (neg.f64 (.f64 2 (.f64 x (/.f64 -9 x)))) (neg.f64 (*.f64 x 162)))
(/.f64 (neg.f64 (.f64 2 (.f64 x -1/9))) (neg.f64 (.f64 2 (.f64 x x))))
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x -1/9) x))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 x (/.f64 -9 x)) 162)) (-.f64 0 (.f64 x 1/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (/.f64 -9 x)))) (.f64 x 81))
(/.f64 (neg.f64 (neg.f64 (.f64 x -1/9))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x -1/9) x))) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x -9)))) (neg.f64 (.f64 x (*.f64 x 81))))
(pow.f64 (*.f64 -9 (/.f64 1/81 x)) 1)
(+.f64 (/.f64 (/.f64 1/81 x) x) 0)
(+.f64 0 (/.f64 (/.f64 1/81 x) x))
(-.f64 (/.f64 (/.f64 1/81 x) x) 0)
(.f64 x (/.f64 2 (.f64 x (.f64 x (.f64 x 162)))))
(*.f64 1 (/.f64 (/.f64 1/81 x) x))
(*.f64 (/.f64 1 x) (/.f64 1/81 x))
(*.f64 (/.f64 (/.f64 1/81 x) x) 1)
(*.f64 (/.f64 2 x) (/.f64 1/162 x))
(.f64 (/.f64 2 x) (.f64 (/.f64 1/81 x) 1/2))
(.f64 2 (/.f64 (/.f64 1 x) (.f64 x 162)))
(.f64 2 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))))
(*.f64 2 (/.f64 (/.f64 (/.f64 1/81 x) x) 2))
(.f64 (+.f64 x x) (/.f64 1 (.f64 x (.f64 x (.f64 x 162)))))
(*.f64 (/.f64 1/81 x) (/.f64 1 x))
(.f64 (/.f64 1 (.f64 x x)) 1/81)
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (/.f64 1/81 x)))
(*.f64 (/.f64 (/.f64 2/81 x) x) 1/2)
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 x 324)))
(*.f64 (/.f64 2/81 x) (/.f64 1/2 x))
(.f64 (/.f64 2 (.f64 x x)) 1/162)
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (*.f64 x 162)))
(.f64 1/81 (/.f64 1 (.f64 x x)))
(.f64 -1 (/.f64 (/.f64 -1 x) (.f64 x 81)))
(.f64 -1 (/.f64 (/.f64 1 x) (.f64 81 (neg.f64 x))))
(*.f64 -1 (/.f64 (/.f64 -1/81 x) x))
(*.f64 (/.f64 -1 x) (/.f64 -1/81 x))
(*.f64 (/.f64 -1/81 x) (/.f64 -1 x))
(.f64 (.f64 x (/.f64 1/81 x)) (/.f64 1 (*.f64 x x)))
(*.f64 1/2 (/.f64 (/.f64 2/81 x) x))
(*.f64 (/.f64 1/2 x) (/.f64 2/81 x))
(*.f64 (/.f64 1/162 x) (/.f64 2 x))
(.f64 (.f64 (/.f64 1/81 x) 1/2) (/.f64 2 x))
(.f64 (/.f64 (/.f64 -1 x) (.f64 x 81)) -1)
(.f64 (/.f64 (/.f64 1 x) (.f64 81 (neg.f64 x))) -1)
(*.f64 (/.f64 (/.f64 -1/81 x) x) -1)
(.f64 1/162 (/.f64 2 (.f64 x x)))
(.f64 (/.f64 (/.f64 1 x) (.f64 x 162)) 2)
(.f64 (/.f64 x (.f64 x 162)) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2)
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x 162)))) (+.f64 x x))
(.f64 (/.f64 2 (.f64 x (.f64 x (.f64 x 162)))) x)
(*.f64 (/.f64 (/.f64 (/.f64 1/81 x) x) 2) 2)
(.f64 (/.f64 1 (.f64 x 324)) (*.f64 (/.f64 1 x) 4))
(pow.f64 (/.f64 (/.f64 1/81 x) x) 1)
(neg.f64 (/.f64 (/.f64 -1 x) (*.f64 x 81)))
(neg.f64 (/.f64 (/.f64 1 x) (*.f64 81 (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 -1/81 x) x))

Outputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(/.f64 1/81 (pow.f64 x 2))
(+.f64 (*.f64 -9 (/.f64 1/81 x)) 0)
(/.f64 -1/9 x)
(+.f64 0 (*.f64 -9 (/.f64 1/81 x)))
(/.f64 -1/9 x)
(-.f64 (*.f64 -9 (/.f64 1/81 x)) 0)
(/.f64 -1/9 x)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 -1/9 x)
(/.f64 1 (/.f64 1 (*.f64 -9 (/.f64 1/81 x))))
(/.f64 -1/9 x)
(/.f64 1 (/.f64 (.f64 x 81) (.f64 x (/.f64 -9 x))))
(/.f64 -1/9 x)
(/.f64 1 (/.f64 (.f64 x x) (.f64 x -1/9)))
(/.f64 -1/9 x)
(/.f64 1 (/.f64 x (/.f64 (*.f64 x -1/9) x)))
(/.f64 -1/9 x)
(/.f64 (/.f64 1 x) (/.f64 (.f64 x 81) (.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 (/.f64 (/.f64 1/81 x) x) (/.f64 1 (*.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 (*.f64 -9 (/.f64 1/81 x)) 1)
(/.f64 -1/9 x)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 2 (.f64 2 (/.f64 1 (.f64 -9 (/.f64 1/81 x)))))
(/.f64 -1/9 x)
(/.f64 2 (/.f64 (.f64 x (.f64 x 162)) (*.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 2 (/.f64 (.f64 x 162) (.f64 x (/.f64 -9 x))))
(/.f64 -1/9 x)
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 (*.f64 x -1/9) x)))
(/.f64 -1/9 x)
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 81 (.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 (*.f64 (/.f64 1/81 x) -18) 2)
(/.f64 -1/9 x)
(/.f64 (.f64 x -18) (.f64 x (*.f64 x 162)))
(/.f64 -1/9 x)
(/.f64 4 (/.f64 (.f64 x 324) (.f64 x (/.f64 -9 x))))
(/.f64 -1/9 x)
(/.f64 4 (/.f64 (.f64 x 4) (/.f64 (.f64 x -1/9) x)))
(/.f64 -1/9 x)
(/.f64 (/.f64 (/.f64 2/81 x) x) (/.f64 2 (*.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 (/.f64 2/81 x) (/.f64 (+.f64 x x) (*.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 -9 (/.f64 1/81 x)))))
(/.f64 -1/9 x)
(/.f64 (/.f64 -1 x) (/.f64 (.f64 x 81) (neg.f64 (.f64 x -9))))
(/.f64 -1/9 x)
(/.f64 (/.f64 -1/81 x) (/.f64 x (neg.f64 (*.f64 x -9))))
(/.f64 -1/9 x)
(/.f64 (.f64 (.f64 -9 (/.f64 1/81 x)) 4) 4)
(/.f64 -1/9 x)
(/.f64 (.f64 (.f64 x -9) 4) (.f64 (.f64 x x) 324))
(/.f64 -1/9 x)
(/.f64 (.f64 (.f64 x -9) 4) (.f64 4 (.f64 x (*.f64 x 81))))
(/.f64 -1/9 x)
(/.f64 (/.f64 4/81 x) (/.f64 (.f64 x 4) (.f64 x -9)))
(/.f64 -1/9 x)
(/.f64 (.f64 x (/.f64 -9 x)) (.f64 x 81))
(/.f64 -1/9 x)
(/.f64 (.f64 x -1/9) (.f64 x x))
(/.f64 -1/9 x)
(/.f64 (/.f64 (*.f64 x -1/9) x) x)
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 x -9)) (neg.f64 (.f64 x (*.f64 x 81))))
(/.f64 -1/9 x)
(/.f64 (.f64 2 (.f64 (*.f64 -9 (/.f64 1/81 x)) 4)) 8)
(/.f64 -1/9 x)
(/.f64 (.f64 2 (.f64 x (/.f64 -9 x))) (*.f64 x 162))
(/.f64 -1/9 x)
(/.f64 (.f64 2 (.f64 x -1/9)) (.f64 2 (.f64 x x)))
(/.f64 -1/9 x)
(/.f64 (.f64 2 (neg.f64 (.f64 x -9))) (.f64 2 (neg.f64 (.f64 x (*.f64 x 81)))))
(/.f64 -1/9 x)
(/.f64 (.f64 2 (/.f64 (.f64 x -1/9) x)) (+.f64 x x))
(/.f64 -1/9 x)
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 -1/9 x)
(/.f64 (/.f64 (.f64 x -18) (.f64 x 81)) (+.f64 x x))
(/.f64 -1/9 x)
(/.f64 (/.f64 (.f64 (.f64 x -9) 4) (.f64 x (.f64 x 81))) 4)
(/.f64 -1/9 x)
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 -1/9 x)
(/.f64 (/.f64 (.f64 x -18) 81) (.f64 2 (*.f64 x x)))
(/.f64 -1/9 x)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(/.f64 -1/9 x)
(/.f64 (/.f64 (.f64 x (/.f64 -9 x)) (.f64 x 162)) 1/2)
(/.f64 -1/9 x)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) (+.f64 x x)) 81/2)
(/.f64 -1/9 x)
(/.f64 (/.f64 (.f64 x (/.f64 -9 x)) 162) (.f64 x 1/2))
(/.f64 -1/9 x)
(/.f64 (/.f64 (/.f64 (*.f64 x -1/9) x) (+.f64 x x)) 1/2)
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 x -18)) (neg.f64 (.f64 x (*.f64 x 162))))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 x (/.f64 -9 x))) (neg.f64 (.f64 x 81)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 x -1/9)) (neg.f64 (.f64 x x)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (/.f64 (*.f64 x -1/9) x)) (neg.f64 x))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (neg.f64 (.f64 x -9))) (.f64 x (*.f64 x 81)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (neg.f64 (.f64 x -9))) (-.f64 0 (neg.f64 (.f64 x (*.f64 x 81)))))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 (.f64 x -9) 4)) (-.f64 0 (.f64 (.f64 x x) 324)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (/.f64 (.f64 x -18) x)) (neg.f64 (.f64 x 162)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (/.f64 (.f64 x -18) (.f64 x 81))) (neg.f64 (+.f64 x x)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (/.f64 (.f64 x -18) 81)) (neg.f64 (.f64 2 (*.f64 x x))))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (neg.f64 (.f64 x -18))) (.f64 x (*.f64 x 162)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 2 (.f64 x (/.f64 -9 x)))) (neg.f64 (*.f64 x 162)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 2 (.f64 x -1/9))) (neg.f64 (.f64 2 (.f64 x x))))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x -1/9) x))) (neg.f64 (+.f64 x x)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (/.f64 (.f64 x (/.f64 -9 x)) 162)) (-.f64 0 (.f64 x 1/2)))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (/.f64 -9 x)))) (.f64 x 81))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (neg.f64 (.f64 x -1/9))) (.f64 x x))
(/.f64 -1/9 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x -1/9) x))) x)
(/.f64 -1/9 x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x -9)))) (neg.f64 (.f64 x (*.f64 x 81))))
(/.f64 -1/9 x)
(pow.f64 (*.f64 -9 (/.f64 1/81 x)) 1)
(/.f64 -1/9 x)
(+.f64 (/.f64 (/.f64 1/81 x) x) 0)
(/.f64 1/81 (*.f64 x x))
(+.f64 0 (/.f64 (/.f64 1/81 x) x))
(/.f64 1/81 (*.f64 x x))
(-.f64 (/.f64 (/.f64 1/81 x) x) 0)
(/.f64 1/81 (*.f64 x x))
(.f64 x (/.f64 2 (.f64 x (.f64 x (.f64 x 162)))))
(.f64 x (/.f64 (/.f64 2 x) (.f64 x (*.f64 x 162))))
(.f64 x (/.f64 2 (.f64 (.f64 x 162) (.f64 x x))))
(.f64 x (/.f64 2 (.f64 (.f64 x x) (.f64 x 162))))
(*.f64 1 (/.f64 (/.f64 1/81 x) x))
(/.f64 1/81 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 1/81 x))
(/.f64 1/81 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/81 x) x) 1)
(/.f64 1/81 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1/162 x))
(.f64 (/.f64 2 x) (.f64 (/.f64 1/81 x) 1/2))
(.f64 (/.f64 1/81 x) (.f64 1/2 (/.f64 2 x)))
(.f64 2 (/.f64 (/.f64 1 x) (.f64 x 162)))
(/.f64 1/81 (*.f64 x x))
(.f64 2 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))))
(.f64 2 (/.f64 x (.f64 (.f64 x 162) (.f64 x x))))
(.f64 2 (/.f64 x (.f64 (.f64 x x) (.f64 x 162))))
(*.f64 2 (/.f64 (/.f64 (/.f64 1/81 x) x) 2))
(/.f64 1/81 (*.f64 x x))
(.f64 (+.f64 x x) (/.f64 1 (.f64 x (.f64 x (.f64 x 162)))))
(.f64 (+.f64 x x) (/.f64 (/.f64 1 x) (.f64 x (*.f64 x 162))))
(.f64 (+.f64 x x) (/.f64 (/.f64 1/162 (.f64 x x)) x))
(*.f64 (/.f64 1/81 x) (/.f64 1 x))
(/.f64 1/81 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) 1/81)
(.f64 1/81 (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (/.f64 1/81 x)))
(.f64 x (.f64 (/.f64 1/81 x) (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 1/81 x) (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 (/.f64 1/81 x) (/.f64 x (.f64 x x)))
(*.f64 (/.f64 (/.f64 2/81 x) x) 1/2)
(.f64 (/.f64 2/81 (.f64 x x)) 1/2)
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 x 324)))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1/324 x))
(*.f64 (/.f64 2/81 x) (/.f64 1/2 x))
(.f64 (/.f64 2 (.f64 x x)) 1/162)
(.f64 1/162 (/.f64 2 (.f64 x x)))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (*.f64 x 162)))
(.f64 1/81 (/.f64 1 (.f64 x x)))
(.f64 -1 (/.f64 (/.f64 -1 x) (.f64 x 81)))
(/.f64 1/81 (*.f64 x x))
(.f64 -1 (/.f64 (/.f64 1 x) (.f64 81 (neg.f64 x))))
(/.f64 1/81 (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 -1/81 x) x))
(/.f64 1/81 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 -1/81 x))
(*.f64 (/.f64 -1/81 x) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (/.f64 -1/81 x))
(.f64 (.f64 x (/.f64 1/81 x)) (/.f64 1 (*.f64 x x)))
(.f64 x (.f64 (/.f64 1/81 x) (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 1/81 x) (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 (/.f64 1/81 x) (/.f64 x (.f64 x x)))
(*.f64 1/2 (/.f64 (/.f64 2/81 x) x))
(.f64 (/.f64 2/81 (.f64 x x)) 1/2)
(*.f64 (/.f64 1/2 x) (/.f64 2/81 x))
(*.f64 (/.f64 2/81 x) (/.f64 1/2 x))
(*.f64 (/.f64 1/162 x) (/.f64 2 x))
(*.f64 (/.f64 2 x) (/.f64 1/162 x))
(.f64 (.f64 (/.f64 1/81 x) 1/2) (/.f64 2 x))
(.f64 (/.f64 1/81 x) (.f64 1/2 (/.f64 2 x)))
(.f64 (/.f64 2 x) (.f64 (/.f64 1/81 x) 1/2))
(.f64 (/.f64 (/.f64 -1 x) (.f64 x 81)) -1)
(/.f64 1/81 (*.f64 x x))
(.f64 (/.f64 (/.f64 1 x) (.f64 81 (neg.f64 x))) -1)
(/.f64 1/81 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1/81 x) x) -1)
(/.f64 1/81 (*.f64 x x))
(.f64 1/162 (/.f64 2 (.f64 x x)))
(.f64 (/.f64 (/.f64 1 x) (.f64 x 162)) 2)
(/.f64 1/81 (*.f64 x x))
(.f64 (/.f64 x (.f64 x 162)) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (*.f64 x 162)))
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2)
(.f64 2 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))))
(.f64 2 (/.f64 x (.f64 (.f64 x 162) (.f64 x x))))
(.f64 2 (/.f64 x (.f64 (.f64 x x) (.f64 x 162))))
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x 162)))) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 (/.f64 1 x) (.f64 x (*.f64 x 162))))
(.f64 (+.f64 x x) (/.f64 (/.f64 1/162 (.f64 x x)) x))
(.f64 (/.f64 2 (.f64 x (.f64 x (.f64 x 162)))) x)
(.f64 x (/.f64 (/.f64 2 x) (.f64 x (*.f64 x 162))))
(.f64 x (/.f64 2 (.f64 (.f64 x 162) (.f64 x x))))
(.f64 x (/.f64 2 (.f64 (.f64 x x) (.f64 x 162))))
(*.f64 (/.f64 (/.f64 (/.f64 1/81 x) x) 2) 2)
(/.f64 1/81 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x 324)) (*.f64 (/.f64 1 x) 4))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 x 324)))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1/324 x))
(pow.f64 (/.f64 (/.f64 1/81 x) x) 1)
(/.f64 1/81 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1 x) (*.f64 x 81)))
(/.f64 1/81 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 1 x) (*.f64 81 (neg.f64 x))))
(/.f64 1/81 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1/81 x) x))
(/.f64 1/81 (*.f64 x x))

eval100.0ms (1.2%)

Compiler: Compiled 5207 to 3673 computations (29.5% saved)

prune94.0ms (1.2%)

Pruning

33 alts after pruning (22 fresh and 11 done)

	Pruned	Kept	Total
New	400	16	416
Fresh	5	6	11
Picked	1	0	1
Done	2	11	13
Total	408	33	441

Error

0.0b

Counts

441 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	41.5b	(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
	54.0b	(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
	41.5b	(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
▶	41.5b	(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
	41.6b	(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
	54.0b	(/.f64 (.f64 x -1/9) (.f64 x x))
▶	54.0b	(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
✓	41.6b	(/.f64 -1/9 x)
✓	0.5b	(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
✓	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
	19.8b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))) 1/3) y))
▶	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 (sqrt.f64 x) (*.f64 6 (/.f64 1/18 x))) y))
▶	21.7b	(-.f64 1 (/.f64 1/9 x))
✓	21.7b	(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
✓	41.4b	(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
✓	54.0b	(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
	54.2b	(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
	42.0b	(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
	56.2b	(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
✓	41.7b	(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
✓	41.7b	(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
	54.1b	(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
	41.5b	(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
✓	41.5b	(*.f64 -18 (/.f64 1/162 x))
	41.4b	(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
	54.1b	(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
	54.2b	(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
▶	54.1b	(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
	41.5b	(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
	54.1b	(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
	43.6b	1

Compiler

Compiled 638 to 493 computations (22.7% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 6 (/.f64 1/18 x))
✓	0.3b	(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 x)))
	0.4b	(/.f64 1/9 x)
✓	0.4b	(/.f64 1/18 x)

Compiler

Compiled 60 to 41 computations (31.7% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1/18 x)
0.0ms	x	@	0	(*.f64 6 (/.f64 1/18 x))
0.0ms	x	@	inf	(*.f64 6 (/.f64 1/18 x))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 x)))
0.0ms	x	@	-inf	(*.f64 6 (/.f64 1/18 x))

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`rational.json-1`
1510×	`rational.json-2`
1510×	`rational.json-3`
1508×	`rational.json-4`
1494×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	70	43
2	165	43
3	369	43
4	786	43
5	2439	43
6	6121	43

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(/.f64 1/18 x)
(.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 x)))
(*.f64 6 (/.f64 1/18 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/18 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/18 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/36 x) (/.f64 1/36 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/18 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 18 (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/18 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/18 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/36 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 18) (/.f64 1 (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 36) (/.f64 1/2 (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/9 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/9 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 18 (/.f64 x (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 36 (/.f64 x (*.f64 x (*.f64 36 (*.f64 x 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/36 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (/.f64 2 (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 (+.f64 x x) (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (*.f64 x (*.f64 x 324))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/9 x) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x 324))) 18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 324))) (*.f64 x 18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x 324))) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 18 (*.f64 x (*.f64 x 324))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x (*.f64 x 324))) (*.f64 x 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 36 (*.f64 x 18)))) 36)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/18 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/18 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/18 x) (*.f64 (sqrt.f64 x) 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/18 x) (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2/9 (/.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 6 (/.f64 1/36 x))) (*.f64 (sqrt.f64 x) (*.f64 6 (/.f64 1/36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/18 x) (*.f64 (sqrt.f64 x) 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/18 (/.f64 x (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/18 x) (*.f64 (sqrt.f64 x) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 18) (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (+.f64 (/.f64 x (*.f64 (sqrt.f64 x) 6)) (/.f64 x (*.f64 (sqrt.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 x 72) (*.f64 (sqrt.f64 x) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (*.f64 x 18) (*.f64 (sqrt.f64 x) 6)) (/.f64 (*.f64 x 18) (*.f64 (sqrt.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/9 (/.f64 (*.f64 x 4) (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/9 (+.f64 (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 x) 6)) (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/18 x) (*.f64 (sqrt.f64 x) 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 6) (*.f64 x 18))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 6) (/.f64 (*.f64 x (*.f64 x 324)) (*.f64 x 18)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 x 72) (*.f64 (sqrt.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 x 72) (*.f64 (sqrt.f64 x) 12)) (/.f64 (*.f64 x 72) (*.f64 (sqrt.f64 x) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/9 (+.f64 (/.f64 (*.f64 x 4) (*.f64 (sqrt.f64 x) 6)) (/.f64 (*.f64 x 4) (*.f64 (sqrt.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 (*.f64 x 72) (*.f64 (sqrt.f64 x) 6)) (/.f64 (*.f64 x 72) (*.f64 (sqrt.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 12) (*.f64 x 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 3) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 24) (*.f64 x 72))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) x) 18)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 x) 12) (*.f64 x 4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) 18) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 x) 6)) (neg.f64 (*.f64 x 18)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) x) (/.f64 (*.f64 (sqrt.f64 x) 6) x)) 36)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 x) 12) (*.f64 x 4)) (/.f64 (*.f64 (sqrt.f64 x) 12) (*.f64 x 4))) 18)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) 18) (/.f64 (*.f64 (sqrt.f64 x) 6) 18)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sqrt.f64 x) 6)) (neg.f64 (*.f64 (sqrt.f64 x) 6))) (*.f64 2 (neg.f64 (*.f64 x 18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 x) 12)) (neg.f64 (*.f64 x 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 x) 3)) (-.f64 0 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) 18)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 6))) (*.f64 x 18))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 6))) (-.f64 0 (neg.f64 (*.f64 x 18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/18 x) (*.f64 (sqrt.f64 x) 6)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/18 x) (+.f64 (*.f64 6 (/.f64 1/36 x)) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/9 x) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 x) (*.f64 2 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 1/9 x)) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (/.f64 1/36 x)) (*.f64 6 (/.f64 1/36 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 72) (*.f64 x (*.f64 x 324))) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/9 x) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/18 x) 12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 x) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 x) 24) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1/9 x) 24)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 1/9 x) 24)) (*.f64 2 (*.f64 (/.f64 1/9 x) 24))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/9 x) 3) 1)))))

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1358×	`rational.json-simplify-51`
1150×	`rational.json-simplify-35`
948×	`rational.json-simplify-49`
756×	`rational.json-simplify-50`
670×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	195	1897
1	522	1897
2	1440	1813
3	4746	1561
4	7205	1531

Stop Event

1×	node limit

Counts

99 → 119

Calls

Call 1

Inputs
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(+.f64 (/.f64 1/18 x) 0)
(+.f64 0 (/.f64 1/18 x))
(+.f64 (/.f64 1/36 x) (/.f64 1/36 x))
(-.f64 (/.f64 1/18 x) 0)
(.f64 x (/.f64 18 (.f64 x (*.f64 x 324))))
(*.f64 (/.f64 1/18 x) 1)
(*.f64 1 (/.f64 1/18 x))
(*.f64 2 (/.f64 1/36 x))
(*.f64 (/.f64 1/9 x) 1/2)
(.f64 (.f64 x 18) (/.f64 1 (.f64 x (.f64 x 324))))
(.f64 (.f64 x 36) (/.f64 1/2 (.f64 x (.f64 x 324))))
(*.f64 4 (/.f64 (/.f64 1/9 x) 8))
(.f64 (.f64 2 (/.f64 1/9 x)) 1/4)
(.f64 18 (/.f64 x (.f64 x (*.f64 x 324))))
(*.f64 1/2 (/.f64 1/9 x))
(.f64 36 (/.f64 x (.f64 x (.f64 36 (.f64 x 18)))))
(*.f64 (/.f64 1/36 x) 2)
(.f64 (.f64 x 9) (/.f64 2 (.f64 x (.f64 x 324))))
(.f64 9 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 324))))
(.f64 1/4 (.f64 2 (/.f64 1/9 x)))
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 324))) 9)
(*.f64 (/.f64 (/.f64 1/9 x) 8) 4)
(.f64 (/.f64 x (.f64 x (*.f64 x 324))) 18)
(.f64 (/.f64 1 (.f64 x (.f64 x 324))) (.f64 x 18))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x 9))
(.f64 (/.f64 18 (.f64 x (*.f64 x 324))) x)
(.f64 (/.f64 1/2 (.f64 x (.f64 x 324))) (.f64 x 36))
(.f64 (/.f64 x (.f64 x (.f64 36 (.f64 x 18)))) 36)
(pow.f64 (/.f64 1/18 x) 1)
(neg.f64 (/.f64 -1/18 x))
(+.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 0)
(+.f64 0 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)))
(+.f64 (/.f64 2/9 (/.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/36 x))) (.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/36 x))))
(-.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 0)
(/.f64 1/18 (/.f64 x (*.f64 (sqrt.f64 x) 6)))
(/.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 1)
(/.f64 1 (/.f64 (.f64 x 18) (.f64 (sqrt.f64 x) 6)))
(/.f64 1/9 (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 x) 6)))
(/.f64 1/9 (+.f64 (/.f64 x (.f64 (sqrt.f64 x) 6)) (/.f64 x (.f64 (sqrt.f64 x) 6))))
(/.f64 2 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 12)))
(/.f64 2 (+.f64 (/.f64 (.f64 x 18) (.f64 (sqrt.f64 x) 6)) (/.f64 (.f64 x 18) (.f64 (sqrt.f64 x) 6))))
(/.f64 2/9 (/.f64 (.f64 x 4) (.f64 (sqrt.f64 x) 6)))
(/.f64 2/9 (+.f64 (/.f64 (+.f64 x x) (.f64 (sqrt.f64 x) 6)) (/.f64 (+.f64 x x) (.f64 (sqrt.f64 x) 6))))
(/.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 12)) 2)
(/.f64 (.f64 (sqrt.f64 x) 6) (.f64 x 18))
(/.f64 (.f64 (sqrt.f64 x) 6) (/.f64 (.f64 x (.f64 x 324)) (.f64 x 18)))
(/.f64 4 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 6)))
(/.f64 4 (+.f64 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 12)) (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 12))))
(/.f64 4/9 (+.f64 (/.f64 (.f64 x 4) (.f64 (sqrt.f64 x) 6)) (/.f64 (.f64 x 4) (.f64 (sqrt.f64 x) 6))))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (/.f64 1/9 x) 12)) 4)
(/.f64 8 (+.f64 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 6)) (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 6))))
(/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 36))
(/.f64 (.f64 (.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24) 8)
(/.f64 (.f64 (sqrt.f64 x) 3) (.f64 x 9))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24)) 16)
(/.f64 (.f64 (sqrt.f64 x) 24) (.f64 x 72))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) x) 18)
(/.f64 (/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 4)) 9)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) 18) x)
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 6)) (neg.f64 (.f64 x 18)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24)) (.f64 2 (.f64 (.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24))) 32)
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 x) 6) x) (/.f64 (.f64 (sqrt.f64 x) 6) x)) 36)
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 4)) (/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 4))) 18)
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 x) 6) 18) (/.f64 (.f64 (sqrt.f64 x) 6) 18)) (+.f64 x x))
(/.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 x) 6)) (neg.f64 (.f64 (sqrt.f64 x) 6))) (.f64 2 (neg.f64 (.f64 x 18))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 12)) (neg.f64 (.f64 x 36)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 3)) (-.f64 0 (.f64 x 9)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) 18)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 x) 6))) (.f64 x 18))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 x) 6))) (-.f64 0 (neg.f64 (.f64 x 18))))
(pow.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 1)
(+.f64 (/.f64 1/18 x) (+.f64 (*.f64 6 (/.f64 1/36 x)) (/.f64 1/9 x)))
(+.f64 (*.f64 (/.f64 1/9 x) 3) 0)
(+.f64 0 (*.f64 (/.f64 1/9 x) 3))
(+.f64 (/.f64 1/9 x) (*.f64 2 (/.f64 1/9 x)))
(+.f64 (*.f64 2 (/.f64 1/9 x)) (/.f64 1/9 x))
(+.f64 (.f64 6 (/.f64 1/36 x)) (.f64 6 (/.f64 1/36 x)))
(+.f64 (/.f64 (.f64 x 72) (.f64 x (*.f64 x 324))) (/.f64 1/9 x))
(-.f64 (*.f64 (/.f64 1/9 x) 3) 0)
(/.f64 (*.f64 (/.f64 1/9 x) 3) 1)
(/.f64 (*.f64 (/.f64 1/18 x) 12) 2)
(/.f64 (*.f64 (/.f64 1/9 x) 12) 4)
(/.f64 (*.f64 (/.f64 1/9 x) 24) 8)
(/.f64 (.f64 2 (.f64 (/.f64 1/9 x) 24)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1/9 x) 24)) (.f64 2 (.f64 (/.f64 1/9 x) 24))) 32)
(pow.f64 (*.f64 (/.f64 1/9 x) 3) 1)

Outputs
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(+.f64 (/.f64 1/18 x) 0)
(/.f64 1/18 x)
(+.f64 0 (/.f64 1/18 x))
(/.f64 1/18 x)
(+.f64 (/.f64 1/36 x) (/.f64 1/36 x))
(/.f64 1/18 x)
(-.f64 (/.f64 1/18 x) 0)
(/.f64 1/18 x)
(.f64 x (/.f64 18 (.f64 x (*.f64 x 324))))
(.f64 x (/.f64 (/.f64 18 x) (.f64 x 324)))
(.f64 x (/.f64 1/18 (.f64 x x)))
(*.f64 (/.f64 1/18 x) 1)
(/.f64 1/18 x)
(*.f64 1 (/.f64 1/18 x))
(/.f64 1/18 x)
(*.f64 2 (/.f64 1/36 x))
(/.f64 1/18 x)
(*.f64 (/.f64 1/9 x) 1/2)
(.f64 (.f64 x 18) (/.f64 1 (.f64 x (.f64 x 324))))
(.f64 x (.f64 18 (/.f64 1 (.f64 x (.f64 x 324)))))
(.f64 (.f64 x 18) (/.f64 1/324 (*.f64 x x)))
(.f64 18 (/.f64 x (.f64 324 (*.f64 x x))))
(.f64 (.f64 x 36) (/.f64 1/2 (.f64 x (.f64 x 324))))
(.f64 (.f64 x 36) (/.f64 (/.f64 1/2 x) (*.f64 x 324)))
(.f64 (.f64 x 36) (/.f64 (/.f64 1/648 x) x))
(.f64 x (.f64 36 (/.f64 1/648 (*.f64 x x))))
(*.f64 36 (/.f64 (/.f64 1/18 x) 36))
(*.f64 4 (/.f64 (/.f64 1/9 x) 8))
(*.f64 4 (/.f64 1/72 x))
(.f64 (.f64 2 (/.f64 1/9 x)) 1/4)
(*.f64 (/.f64 1/9 x) 1/2)
(.f64 18 (/.f64 x (.f64 x (*.f64 x 324))))
(.f64 (.f64 x 18) (/.f64 1 (.f64 x (.f64 x 324))))
(.f64 x (.f64 18 (/.f64 1 (.f64 x (.f64 x 324)))))
(.f64 (.f64 x 18) (/.f64 1/324 (*.f64 x x)))
(.f64 18 (/.f64 x (.f64 324 (*.f64 x x))))
(*.f64 1/2 (/.f64 1/9 x))
(*.f64 (/.f64 1/9 x) 1/2)
(.f64 36 (/.f64 x (.f64 x (.f64 36 (.f64 x 18)))))
(.f64 (.f64 x 36) (/.f64 (/.f64 1/2 x) (*.f64 x 324)))
(.f64 (.f64 x 36) (/.f64 (/.f64 1/648 x) x))
(.f64 x (.f64 36 (/.f64 1/648 (*.f64 x x))))
(*.f64 36 (/.f64 (/.f64 1/18 x) 36))
(*.f64 (/.f64 1/36 x) 2)
(/.f64 1/18 x)
(.f64 (.f64 x 9) (/.f64 2 (.f64 x (.f64 x 324))))
(.f64 x (.f64 9 (/.f64 2 (.f64 x (.f64 x 324)))))
(.f64 x (.f64 9 (/.f64 1/162 (*.f64 x x))))
(.f64 (.f64 x 9) (/.f64 1/162 (*.f64 x x)))
(.f64 9 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 324))))
(.f64 9 (/.f64 (+.f64 x x) (.f64 324 (*.f64 x x))))
(.f64 1/4 (.f64 2 (/.f64 1/9 x)))
(*.f64 (/.f64 1/9 x) 1/2)
(.f64 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 324))) 9)
(.f64 9 (/.f64 (+.f64 x x) (.f64 x (*.f64 x 324))))
(.f64 9 (/.f64 (+.f64 x x) (.f64 324 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 1/9 x) 8) 4)
(*.f64 4 (/.f64 1/72 x))
(.f64 (/.f64 x (.f64 x (*.f64 x 324))) 18)
(.f64 (.f64 x 18) (/.f64 1 (.f64 x (.f64 x 324))))
(.f64 x (.f64 18 (/.f64 1 (.f64 x (.f64 x 324)))))
(.f64 (.f64 x 18) (/.f64 1/324 (*.f64 x x)))
(.f64 18 (/.f64 x (.f64 324 (*.f64 x x))))
(.f64 (/.f64 1 (.f64 x (.f64 x 324))) (.f64 x 18))
(.f64 (.f64 x 18) (/.f64 1 (.f64 x (.f64 x 324))))
(.f64 x (.f64 18 (/.f64 1 (.f64 x (.f64 x 324)))))
(.f64 (.f64 x 18) (/.f64 1/324 (*.f64 x x)))
(.f64 18 (/.f64 x (.f64 324 (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x 9))
(.f64 x (.f64 9 (/.f64 2 (.f64 x (.f64 x 324)))))
(.f64 x (.f64 9 (/.f64 1/162 (*.f64 x x))))
(.f64 (.f64 x 9) (/.f64 1/162 (*.f64 x x)))
(.f64 (/.f64 18 (.f64 x (*.f64 x 324))) x)
(.f64 x (/.f64 18 (.f64 x (*.f64 x 324))))
(.f64 x (/.f64 (/.f64 18 x) (.f64 x 324)))
(.f64 x (/.f64 1/18 (.f64 x x)))
(.f64 (/.f64 1/2 (.f64 x (.f64 x 324))) (.f64 x 36))
(.f64 (.f64 x 36) (/.f64 (/.f64 1/2 x) (*.f64 x 324)))
(.f64 (.f64 x 36) (/.f64 (/.f64 1/648 x) x))
(.f64 x (.f64 36 (/.f64 1/648 (*.f64 x x))))
(*.f64 36 (/.f64 (/.f64 1/18 x) 36))
(.f64 (/.f64 x (.f64 x (.f64 36 (.f64 x 18)))) 36)
(.f64 (.f64 x 36) (/.f64 (/.f64 1/2 x) (*.f64 x 324)))
(.f64 (.f64 x 36) (/.f64 (/.f64 1/648 x) x))
(.f64 x (.f64 36 (/.f64 1/648 (*.f64 x x))))
(*.f64 36 (/.f64 (/.f64 1/18 x) 36))
(pow.f64 (/.f64 1/18 x) 1)
(/.f64 1/18 x)
(neg.f64 (/.f64 -1/18 x))
(/.f64 1/18 x)
(+.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 0)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(+.f64 0 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(+.f64 (/.f64 2/9 (/.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))
(+.f64 (/.f64 2/9 (/.f64 x (sqrt.f64 x))) (*.f64 (/.f64 1/9 x) (sqrt.f64 x)))
(+.f64 (/.f64 (sqrt.f64 x) (/.f64 x 2/9)) (*.f64 (/.f64 1/9 x) (sqrt.f64 x)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/36 x))) (.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/36 x))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(-.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 0)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 1/18 (/.f64 x (*.f64 (sqrt.f64 x) 6)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 1)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 1 (/.f64 (.f64 x 18) (.f64 (sqrt.f64 x) 6)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 1/9 (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 x) 6)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 1/9 (+.f64 (/.f64 x (.f64 (sqrt.f64 x) 6)) (/.f64 x (.f64 (sqrt.f64 x) 6))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 2 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 12)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 2 (+.f64 (/.f64 (.f64 x 18) (.f64 (sqrt.f64 x) 6)) (/.f64 (.f64 x 18) (.f64 (sqrt.f64 x) 6))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 2/9 (/.f64 (.f64 x 4) (.f64 (sqrt.f64 x) 6)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 2/9 (+.f64 (/.f64 (+.f64 x x) (.f64 (sqrt.f64 x) 6)) (/.f64 (+.f64 x x) (.f64 (sqrt.f64 x) 6))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 12)) 2)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (sqrt.f64 x) 6) (.f64 x 18))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (sqrt.f64 x) 6) (/.f64 (.f64 x (.f64 x 324)) (.f64 x 18)))
(.f64 6 (/.f64 (sqrt.f64 x) (.f64 (.f64 x 324) (/.f64 x (.f64 x 18)))))
(.f64 6 (/.f64 (.f64 x 18) (/.f64 (.f64 x (.f64 x 324)) (sqrt.f64 x))))
(.f64 x (/.f64 (sqrt.f64 x) (/.f64 (.f64 (*.f64 x x) 54) 18)))
(/.f64 4 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 6)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 4 (+.f64 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 12)) (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 12))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 4/9 (+.f64 (/.f64 (.f64 x 4) (.f64 (sqrt.f64 x) 6)) (/.f64 (.f64 x 4) (.f64 (sqrt.f64 x) 6))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (/.f64 1/9 x) 12)) 4)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 8 (+.f64 (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 6)) (/.f64 (.f64 x 72) (.f64 (sqrt.f64 x) 6))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 36))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24) 8)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (sqrt.f64 x) 3) (.f64 x 9))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24)) 16)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (sqrt.f64 x) 24) (.f64 x 72))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) x) 18)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 4)) 9)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) 18) x)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 6)) (neg.f64 (.f64 x 18)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24)) (.f64 2 (.f64 (.f64 (sqrt.f64 x) (/.f64 1/9 x)) 24))) 32)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 x) 6) x) (/.f64 (.f64 (sqrt.f64 x) 6) x)) 36)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 4)) (/.f64 (.f64 (sqrt.f64 x) 12) (.f64 x 4))) 18)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 x) 6) 18) (/.f64 (.f64 (sqrt.f64 x) 6) 18)) (+.f64 x x))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 x) 6)) (neg.f64 (.f64 (sqrt.f64 x) 6))) (.f64 2 (neg.f64 (.f64 x 18))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 12)) (neg.f64 (.f64 x 36)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) 3)) (-.f64 0 (.f64 x 9)))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) 6) 18)) (neg.f64 x))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 x) 6))) (.f64 x 18))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 x) 6))) (-.f64 0 (neg.f64 (.f64 x 18))))
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(pow.f64 (.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6)) 1)
(.f64 (/.f64 1/18 x) (.f64 (sqrt.f64 x) 6))
(*.f64 1/3 (/.f64 (sqrt.f64 x) x))
(+.f64 (/.f64 1/18 x) (+.f64 (*.f64 6 (/.f64 1/36 x)) (/.f64 1/9 x)))
(+.f64 (/.f64 1/18 x) (+.f64 (/.f64 1/9 x) (*.f64 (/.f64 1/36 x) 6)))
(+.f64 (/.f64 1/9 x) (*.f64 (/.f64 1/36 x) 8))
(+.f64 (*.f64 (/.f64 1/9 x) 3) 0)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(+.f64 0 (*.f64 (/.f64 1/9 x) 3))
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(+.f64 (/.f64 1/9 x) (*.f64 2 (/.f64 1/9 x)))
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(+.f64 (*.f64 2 (/.f64 1/9 x)) (/.f64 1/9 x))
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(+.f64 (.f64 6 (/.f64 1/36 x)) (.f64 6 (/.f64 1/36 x)))
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(+.f64 (/.f64 (.f64 x 72) (.f64 x (*.f64 x 324))) (/.f64 1/9 x))
(+.f64 (/.f64 1/9 x) (.f64 72 (/.f64 x (.f64 x (*.f64 x 324)))))
(+.f64 (/.f64 1/9 x) (.f64 (/.f64 (/.f64 x x) (.f64 x 324)) 72))
(+.f64 (/.f64 1/9 x) (.f64 x (/.f64 2/9 (.f64 x x))))
(+.f64 (/.f64 1/9 x) (/.f64 (/.f64 72 x) 324))
(-.f64 (*.f64 (/.f64 1/9 x) 3) 0)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(/.f64 (*.f64 (/.f64 1/9 x) 3) 1)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(/.f64 (*.f64 (/.f64 1/18 x) 12) 2)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(/.f64 (*.f64 (/.f64 1/9 x) 12) 4)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(/.f64 (*.f64 (/.f64 1/9 x) 24) 8)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(/.f64 (.f64 2 (.f64 (/.f64 1/9 x) 24)) 16)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1/9 x) 24)) (.f64 2 (.f64 (/.f64 1/9 x) 24))) 32)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)
(pow.f64 (*.f64 (/.f64 1/9 x) 3) 1)
(*.f64 (/.f64 1/9 x) 3)
(*.f64 (/.f64 1/18 x) 6)
(*.f64 (/.f64 1/36 x) 12)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/9 x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (.f64 x 81))
✓	27.3b	(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))

Compiler

Compiled 25 to 17 computations (32% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
0.0ms	x	@	inf	(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
0.0ms	x	@	-inf	(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1986×	`rational.json-simplify-35`
1046×	`exponential.json-3`
1046×	`rational.json-1`
1046×	`rational.json-2`
1046×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	66	25
2	202	19
3	806	7
4	4245	7

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 x) (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 x) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -9 (/.f64 1/81 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9) (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -18) (/.f64 1/81 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -18) (*.f64 (/.f64 1/81 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9 (/.f64 1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x -9) (*.f64 (*.f64 x x) 162)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 -1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 -1/9 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/81 (*.f64 x x)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -36) (/.f64 1 (*.f64 x (*.f64 (*.f64 x 81) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -18 (/.f64 2/81 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -18 (*.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9 x) 1/81)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (/.f64 -1 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (/.f64 1 (*.f64 x (*.f64 81 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 -1 (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x 9) (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x -9) (*.f64 x (*.f64 81 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 9 (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/81 (/.f64 -9/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9 (/.f64 1/81 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/81 (/.f64 -9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/81 x) -9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/81 x) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/9) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/81) (/.f64 (/.f64 -9 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/81 (*.f64 x 4)) -18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 (*.f64 2 (*.f64 x x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/81 (*.f64 2 (*.f64 x x))) (*.f64 x -18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 x) 2/81)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 -18 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -2/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 (/.f64 2/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/81 (*.f64 x x)) 1/2) (*.f64 x -18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/81 (*.f64 x x)) -9/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 x 1/2)) -18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 -1/9 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (*.f64 x (*.f64 x 81))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9) (*.f64 x (*.f64 81 (neg.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9 (*.f64 x 81)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -9 x) x) (*.f64 x 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -18 (*.f64 x (*.f64 x 81))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9) (*.f64 (*.f64 x x) 162)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) x) (*.f64 x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/9 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 (*.f64 x 81) 4))) (*.f64 x -36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (*.f64 x 81))) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 81 (neg.f64 x)))) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x 81)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x 9) (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x -9) (*.f64 x (*.f64 81 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 9 (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/9 x))))))

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational.json-simplify-61`
964×	`rational.json-simplify-57`
942×	`rational.json-simplify-2`
888×	`rational.json-simplify-54`
768×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	982
1	307	970
2	730	958
3	2305	958
4	6119	958

Stop Event

1×	node limit

Counts

82 → 84

Calls

Call 1

Inputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(+.f64 0 (/.f64 -1/9 x))
(+.f64 (/.f64 -1/9 x) 0)
(+.f64 (/.f64 -1/9 x) (/.f64 0 x))
(+.f64 (/.f64 0 x) (/.f64 -1/9 x))
(-.f64 (/.f64 -1/9 x) 0)
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 -1/9 x)))
(.f64 (.f64 x -9) (/.f64 1/81 (*.f64 x x)))
(*.f64 1 (/.f64 -1/9 x))
(.f64 (.f64 x -18) (/.f64 1/81 (.f64 2 (.f64 x x))))
(.f64 (.f64 x -18) (.f64 (/.f64 1/81 (.f64 x x)) 1/2))
(*.f64 -9 (/.f64 1/81 x))
(.f64 2 (/.f64 (.f64 x -9) (.f64 (.f64 x x) 162)))
(*.f64 2 (/.f64 (/.f64 -1/9 x) 2))
(.f64 (+.f64 x x) (/.f64 -1/9 (.f64 2 (*.f64 x x))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/81 (*.f64 x x)) -9/2))
(*.f64 (/.f64 -2/9 x) 1/2)
(.f64 (.f64 x -36) (/.f64 1 (.f64 x (.f64 (*.f64 x 81) 4))))
(.f64 -18 (/.f64 2/81 (.f64 x 4)))
(.f64 -18 (.f64 (/.f64 1/81 (.f64 x x)) (.f64 x 1/2)))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (/.f64 -1/9 (.f64 x x)) x)
(*.f64 (/.f64 -9 x) 1/81)
(*.f64 (/.f64 1 x) -1/9)
(.f64 (.f64 x 9) (/.f64 -1 (.f64 x (.f64 x 81))))
(.f64 (.f64 x 9) (/.f64 1 (.f64 x (.f64 81 (neg.f64 x)))))
(.f64 9 (/.f64 -1 (.f64 x 81)))
(*.f64 -1/9 (/.f64 1 x))
(.f64 -1 (/.f64 (.f64 x 9) (.f64 x (.f64 x 81))))
(.f64 -1 (/.f64 (.f64 x -9) (.f64 x (.f64 81 (neg.f64 x)))))
(.f64 -1 (/.f64 9 (.f64 x 81)))
(*.f64 -2/9 (/.f64 1/2 x))
(*.f64 2/81 (/.f64 -9/2 x))
(.f64 (.f64 -9 (/.f64 1/81 (*.f64 x x))) x)
(*.f64 1/81 (/.f64 -9 x))
(*.f64 (/.f64 1/81 x) -9)
(*.f64 (/.f64 2/81 x) -9/2)
(*.f64 (/.f64 -1/9 x) 1)
(.f64 (.f64 x -1/9) (/.f64 (/.f64 1 x) x))
(.f64 (.f64 x 1/81) (/.f64 (/.f64 -9 x) x))
(.f64 (/.f64 2/81 (.f64 x 4)) -18)
(.f64 (/.f64 -1/9 (.f64 2 (*.f64 x x))) (+.f64 x x))
(.f64 (/.f64 1/81 (.f64 2 (.f64 x x))) (.f64 x -18))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/2 x) -2/9)
(.f64 (.f64 x 1/2) (/.f64 -18 (.f64 x (.f64 x 81))))
(*.f64 1/2 (/.f64 -2/9 x))
(*.f64 -9/2 (/.f64 2/81 x))
(.f64 (.f64 (/.f64 1/81 (.f64 x x)) 1/2) (.f64 x -18))
(.f64 (.f64 (/.f64 1/81 (*.f64 x x)) -9/2) (+.f64 x x))
(.f64 (.f64 (/.f64 1/81 (.f64 x x)) (.f64 x 1/2)) -18)
(.f64 (.f64 (/.f64 1 x) (/.f64 -1/9 x)) x)
(.f64 (/.f64 (.f64 x 9) (.f64 x (.f64 x 81))) -1)
(.f64 (/.f64 (.f64 x -9) (.f64 x (.f64 81 (neg.f64 x)))) -1)
(.f64 (/.f64 9 (.f64 x 81)) -1)
(.f64 (/.f64 (/.f64 -9 x) x) (.f64 x 1/81))
(.f64 (/.f64 -18 (.f64 x (.f64 x 81))) (.f64 x 1/2))
(.f64 (/.f64 (.f64 x -9) (.f64 (.f64 x x) 162)) 2)
(.f64 (/.f64 (/.f64 1 x) x) (.f64 x -1/9))
(*.f64 (/.f64 (/.f64 -1/9 x) 2) 2)
(.f64 (/.f64 1 (.f64 x (.f64 (.f64 x 81) 4))) (*.f64 x -36))
(.f64 (/.f64 -1 (.f64 x (.f64 x 81))) (.f64 x 9))
(.f64 (/.f64 1 (.f64 x (.f64 81 (neg.f64 x)))) (.f64 x 9))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(pow.f64 (/.f64 -1/9 x) 1)
(neg.f64 (/.f64 (.f64 x 9) (.f64 x (*.f64 x 81))))
(neg.f64 (/.f64 (.f64 x -9) (.f64 x (*.f64 81 (neg.f64 x)))))
(neg.f64 (/.f64 9 (*.f64 x 81)))
(neg.f64 (/.f64 1/9 x))

Outputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(+.f64 0 (/.f64 -1/9 x))
(/.f64 -1/9 x)
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(+.f64 (/.f64 -1/9 x) (/.f64 0 x))
(/.f64 -1/9 x)
(+.f64 (/.f64 0 x) (/.f64 -1/9 x))
(/.f64 -1/9 x)
(-.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(.f64 x (/.f64 -1/9 (.f64 x x)))
(/.f64 -1/9 x)
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 x (.f64 (/.f64 1 x) (/.f64 -1/9 x)))
(/.f64 -1/9 x)
(.f64 (.f64 x -9) (/.f64 1/81 (*.f64 x x)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(*.f64 1 (/.f64 -1/9 x))
(/.f64 -1/9 x)
(.f64 (.f64 x -18) (/.f64 1/81 (.f64 2 (.f64 x x))))
(.f64 x (.f64 -18 (/.f64 1/162 (*.f64 x x))))
(.f64 (/.f64 (/.f64 1/162 x) x) (.f64 x -18))
(.f64 -18 (.f64 x (/.f64 (/.f64 1/162 x) x)))
(.f64 x (.f64 -18 (/.f64 (/.f64 1/162 x) x)))
(.f64 (.f64 x -18) (.f64 (/.f64 1/81 (.f64 x x)) 1/2))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(*.f64 -9 (/.f64 1/81 x))
(/.f64 -1/9 x)
(.f64 2 (/.f64 (.f64 x -9) (.f64 (.f64 x x) 162)))
(/.f64 -1/9 x)
(*.f64 2 (/.f64 (/.f64 -1/9 x) 2))
(/.f64 -1/9 x)
(.f64 (+.f64 x x) (/.f64 -1/9 (.f64 2 (*.f64 x x))))
(/.f64 -1/9 x)
(.f64 (+.f64 x x) (.f64 (/.f64 1/81 (*.f64 x x)) -9/2))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(*.f64 (/.f64 -2/9 x) 1/2)
(*.f64 1/2 (/.f64 -2/9 x))
(.f64 (.f64 x -36) (/.f64 1 (.f64 x (.f64 (*.f64 x 81) 4))))
(.f64 x (.f64 -36 (/.f64 (/.f64 1 x) (.f64 (.f64 x 81) 4))))
(.f64 (.f64 x -36) (/.f64 1 (.f64 x (.f64 x 324))))
(.f64 x (.f64 -36 (/.f64 (/.f64 1 x) (*.f64 x 324))))
(.f64 x (.f64 -36 (/.f64 (/.f64 1/162 x) (+.f64 x x))))
(.f64 -18 (/.f64 2/81 (.f64 x 4)))
(/.f64 -1/9 x)
(.f64 -18 (.f64 (/.f64 1/81 (.f64 x x)) (.f64 x 1/2)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 -1/9 (.f64 x x)) x)
(/.f64 -1/9 x)
(*.f64 (/.f64 -9 x) 1/81)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 -1/9 x)
(.f64 (.f64 x 9) (/.f64 -1 (.f64 x (.f64 x 81))))
(/.f64 -1/9 x)
(.f64 (.f64 x 9) (/.f64 1 (.f64 x (.f64 81 (neg.f64 x)))))
(/.f64 -1/9 x)
(.f64 9 (/.f64 -1 (.f64 x 81)))
(/.f64 -1/9 x)
(*.f64 -1/9 (/.f64 1 x))
(/.f64 -1/9 x)
(.f64 -1 (/.f64 (.f64 x 9) (.f64 x (.f64 x 81))))
(/.f64 -1/9 x)
(.f64 -1 (/.f64 (.f64 x -9) (.f64 x (.f64 81 (neg.f64 x)))))
(/.f64 -1/9 x)
(.f64 -1 (/.f64 9 (.f64 x 81)))
(/.f64 -1/9 x)
(*.f64 -2/9 (/.f64 1/2 x))
(*.f64 2/81 (/.f64 -9/2 x))
(.f64 (.f64 -9 (/.f64 1/81 (*.f64 x x))) x)
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(*.f64 1/81 (/.f64 -9 x))
(/.f64 -1/9 x)
(*.f64 (/.f64 1/81 x) -9)
(/.f64 -1/9 x)
(*.f64 (/.f64 2/81 x) -9/2)
(*.f64 -9/2 (/.f64 2/81 x))
(*.f64 (/.f64 -1/9 x) 1)
(/.f64 -1/9 x)
(.f64 (.f64 x -1/9) (/.f64 (/.f64 1 x) x))
(.f64 x (.f64 -1/9 (/.f64 1 (*.f64 x x))))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 (.f64 x 1/81) (/.f64 (/.f64 -9 x) x))
(/.f64 -1/9 x)
(.f64 (/.f64 2/81 (.f64 x 4)) -18)
(/.f64 -1/9 x)
(.f64 (/.f64 -1/9 (.f64 2 (*.f64 x x))) (+.f64 x x))
(/.f64 -1/9 x)
(.f64 (/.f64 1/81 (.f64 2 (.f64 x x))) (.f64 x -18))
(.f64 x (.f64 -18 (/.f64 1/162 (*.f64 x x))))
(.f64 (/.f64 (/.f64 1/162 x) x) (.f64 x -18))
(.f64 -18 (.f64 x (/.f64 (/.f64 1/162 x) x)))
(.f64 x (.f64 -18 (/.f64 (/.f64 1/162 x) x)))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 2/81 (/.f64 -9/2 x))
(*.f64 (/.f64 1/2 x) -2/9)
(*.f64 -2/9 (/.f64 1/2 x))
(.f64 (.f64 x 1/2) (/.f64 -18 (.f64 x (.f64 x 81))))
(.f64 x (.f64 1/2 (/.f64 -18 (.f64 x (.f64 x 81)))))
(.f64 1/2 (.f64 (/.f64 -18 (.f64 x (.f64 x 81))) x))
(.f64 x (.f64 1/2 (/.f64 -2/9 (*.f64 x x))))
(*.f64 1/2 (/.f64 -2/9 x))
(*.f64 -9/2 (/.f64 2/81 x))
(.f64 (.f64 (/.f64 1/81 (.f64 x x)) 1/2) (.f64 x -18))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (.f64 (/.f64 1/81 (*.f64 x x)) -9/2) (+.f64 x x))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (.f64 (/.f64 1/81 (.f64 x x)) (.f64 x 1/2)) -18)
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (.f64 (/.f64 1 x) (/.f64 -1/9 x)) x)
(/.f64 -1/9 x)
(.f64 (/.f64 (.f64 x 9) (.f64 x (.f64 x 81))) -1)
(/.f64 -1/9 x)
(.f64 (/.f64 (.f64 x -9) (.f64 x (.f64 81 (neg.f64 x)))) -1)
(/.f64 -1/9 x)
(.f64 (/.f64 9 (.f64 x 81)) -1)
(/.f64 -1/9 x)
(.f64 (/.f64 (/.f64 -9 x) x) (.f64 x 1/81))
(/.f64 -1/9 x)
(.f64 (/.f64 -18 (.f64 x (.f64 x 81))) (.f64 x 1/2))
(.f64 x (.f64 1/2 (/.f64 -18 (.f64 x (.f64 x 81)))))
(.f64 1/2 (.f64 (/.f64 -18 (.f64 x (.f64 x 81))) x))
(.f64 x (.f64 1/2 (/.f64 -2/9 (*.f64 x x))))
(.f64 (/.f64 (.f64 x -9) (.f64 (.f64 x x) 162)) 2)
(/.f64 -1/9 x)
(.f64 (/.f64 (/.f64 1 x) x) (.f64 x -1/9))
(.f64 x (.f64 -1/9 (/.f64 1 (*.f64 x x))))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 (/.f64 -1/9 x) 2) 2)
(/.f64 -1/9 x)
(.f64 (/.f64 1 (.f64 x (.f64 (.f64 x 81) 4))) (*.f64 x -36))
(.f64 x (.f64 -36 (/.f64 (/.f64 1 x) (.f64 (.f64 x 81) 4))))
(.f64 (.f64 x -36) (/.f64 1 (.f64 x (.f64 x 324))))
(.f64 x (.f64 -36 (/.f64 (/.f64 1 x) (*.f64 x 324))))
(.f64 x (.f64 -36 (/.f64 (/.f64 1/162 x) (+.f64 x x))))
(.f64 (/.f64 -1 (.f64 x (.f64 x 81))) (.f64 x 9))
(/.f64 -1/9 x)
(.f64 (/.f64 1 (.f64 x (.f64 81 (neg.f64 x)))) (.f64 x 9))
(/.f64 -1/9 x)
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(/.f64 -1/9 x)
(pow.f64 (/.f64 -1/9 x) 1)
(/.f64 -1/9 x)
(neg.f64 (/.f64 (.f64 x 9) (.f64 x (*.f64 x 81))))
(/.f64 -1/9 x)
(neg.f64 (/.f64 (.f64 x -9) (.f64 x (*.f64 81 (neg.f64 x)))))
(/.f64 -1/9 x)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(/.f64 -1/9 x)
(neg.f64 (/.f64 1/9 x))
(/.f64 -1/9 x)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/52488 (*.f64 x x))
✓	0.3b	(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
✓	0.3b	(.f64 324 (/.f64 1/52488 (.f64 x x)))
✓	26.7b	(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
0.0ms	x	@	0	(/.f64 1/52488 (*.f64 x x))
0.0ms	x	@	0	(.f64 324 (/.f64 1/52488 (.f64 x x)))
0.0ms	x	@	inf	(.f64 324 (/.f64 1/52488 (.f64 x x)))
0.0ms	x	@	inf	(/.f64 1/52488 (*.f64 x x))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`rational.json-simplify-35`
1118×	`exponential.json-3`
1118×	`rational.json-1`
1118×	`rational.json-2`
1118×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	88
1	83	88
2	223	82
3	648	82
4	2747	82

Stop Event

1×	node limit

Counts

4 → 61

Calls

Call 1

Inputs
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(/.f64 1/52488 (*.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (.f64 x 648)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 648) (.f64 x (.f64 x 104976)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 324)) (neg.f64 (/.f64 x (/.f64 1/52488 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 324 (/.f64 1/52488 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1/52488 (.f64 x x)) 648) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1/52488 (.f64 x x)) 1296) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 1/52488 (.f64 x x)) 1296)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 1/52488 (.f64 x x)) 1296)) (.f64 2 (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 324 (/.f64 1/52488 (*.f64 x x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (.f64 x -5832)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 1/52488 (.f64 x x)) (.f64 x -5832)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (.f64 x -5832)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (.f64 x -5832)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) -11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72)) (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/52488 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/52488 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/52488 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 x (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (/.f64 1 (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/52488 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/52488 (.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/52488 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/52488 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1/52488 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/52488 (.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/52488 x) 2) (/.f64 2 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/52488 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 -1/52488 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1/52488 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 1/52488 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 1/52488 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -1/52488 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 x 4)) (.f64 (/.f64 1/52488 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/52488 (.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 x) (/.f64 -1/52488 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/52488 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/52488 x) x))))))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1488×	`rational.json-simplify-57`
1402×	`rational.json-simplify-51`
898×	`rational.json-simplify-43`
648×	`rational.json-simplify-35`
620×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1591
1	331	1591
2	946	1585
3	4524	1345

Stop Event

1×	node limit

Counts

109 → 76

Calls

Call 1

Inputs
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(+.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 0)
(+.f64 0 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))))
(-.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 0)
(/.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 1)
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x 648)) 2)
(/.f64 (*.f64 x 324) (/.f64 x (/.f64 1/52488 x)))
(/.f64 (.f64 x (.f64 (/.f64 1/52488 (*.f64 x x)) 1296)) 4)
(/.f64 (.f64 x 648) (.f64 x (*.f64 x 104976)))
(/.f64 (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296)))) 16)
(/.f64 (neg.f64 (*.f64 x 324)) (neg.f64 (/.f64 x (/.f64 1/52488 x))))
(pow.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 1)
(+.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 0)
(+.f64 0 (.f64 324 (/.f64 1/52488 (.f64 x x))))
(-.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 0)
(/.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 1)
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) 648) 2)
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) 1296) 4)
(/.f64 (.f64 2 (.f64 (/.f64 1/52488 (*.f64 x x)) 1296)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1/52488 (.f64 x x)) 1296)) (.f64 2 (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) 16)
(pow.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 1)
(+.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 0)
(+.f64 0 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)))
(-.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 0)
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 1)
(/.f64 (.f64 x (.f64 (/.f64 1/52488 (*.f64 x x)) -11664)) 2)
(/.f64 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72) 4)
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) -72)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72)) (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72))) 16)
(pow.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 1)
(+.f64 (/.f64 1/52488 (*.f64 x x)) 0)
(+.f64 0 (/.f64 1/52488 (*.f64 x x)))
(-.f64 (/.f64 1/52488 (*.f64 x x)) 0)
(.f64 x (/.f64 x (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(.f64 (.f64 x x) (/.f64 1 (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(.f64 (/.f64 1/52488 (.f64 x x)) 1)
(.f64 (/.f64 1/52488 (.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(.f64 1 (/.f64 1/52488 (.f64 x x)))
(*.f64 (/.f64 1/52488 x) (/.f64 1 x))
(.f64 2 (/.f64 (/.f64 1/52488 (.f64 x x)) 2))
(.f64 (.f64 (/.f64 1/52488 (*.f64 x x)) 2) 1/2)
(.f64 (.f64 (/.f64 1/52488 x) 2) (/.f64 2 (*.f64 x 4)))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(*.f64 (/.f64 -1/52488 x) (/.f64 -1 x))
(*.f64 -1 (/.f64 (/.f64 -1/52488 x) x))
(*.f64 (/.f64 1 x) (/.f64 1/52488 x))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(.f64 1/2 (.f64 (/.f64 1/52488 (*.f64 x x)) 2))
(.f64 1/2 (/.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 1 (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (.f64 x x))
(.f64 (/.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) 1/2)
(*.f64 (/.f64 (/.f64 -1/52488 x) x) -1)
(.f64 (/.f64 2 (.f64 x 4)) (*.f64 (/.f64 1/52488 x) 2))
(.f64 (/.f64 (/.f64 1/52488 (.f64 x x)) 2) 2)
(.f64 (/.f64 x (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))) x)
(.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (.f64 x 1/2))
(.f64 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (fabs.f64 x))
(*.f64 (/.f64 -1 x) (/.f64 -1/52488 x))
(pow.f64 (/.f64 1/52488 (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 -1/52488 x) x))

Outputs
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 x)
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 1/162 (pow.f64 x 2))
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(/.f64 1/52488 (pow.f64 x 2))
(+.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 0)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(+.f64 0 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))))
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(-.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 0)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(/.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 1)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x 648)) 2)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(/.f64 (*.f64 x 324) (/.f64 x (/.f64 1/52488 x)))
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(/.f64 (.f64 x (.f64 (/.f64 1/52488 (*.f64 x x)) 1296)) 4)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(/.f64 (.f64 x 648) (.f64 x (*.f64 x 104976)))
(/.f64 (/.f64 (.f64 x 648) x) (.f64 x 104976))
(.f64 648 (/.f64 x (.f64 x (*.f64 x 104976))))
(.f64 x (/.f64 1/162 (.f64 x x)))
(/.f64 (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) 8)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(/.f64 (+.f64 (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) (.f64 2 (.f64 x (.f64 (/.f64 1/52488 (.f64 x x)) 1296)))) 16)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(/.f64 (neg.f64 (*.f64 x 324)) (neg.f64 (/.f64 x (/.f64 1/52488 x))))
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(pow.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) 1)
(.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x))))
(*.f64 324 (/.f64 1/52488 x))
(+.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 0)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(+.f64 0 (.f64 324 (/.f64 1/52488 (.f64 x x))))
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(-.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 0)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(/.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 1)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) 648) 2)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) 1296) 4)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(/.f64 (.f64 2 (.f64 (/.f64 1/52488 (*.f64 x x)) 1296)) 8)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1/52488 (.f64 x x)) 1296)) (.f64 2 (.f64 (/.f64 1/52488 (.f64 x x)) 1296))) 16)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(pow.f64 (.f64 324 (/.f64 1/52488 (.f64 x x))) 1)
(.f64 324 (/.f64 1/52488 (.f64 x x)))
(.f64 (/.f64 -1/52488 (.f64 x x)) -324)
(+.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 0)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(+.f64 0 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)))
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 0)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(/.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 1)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(/.f64 (.f64 x (.f64 (/.f64 1/52488 (*.f64 x x)) -11664)) 2)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(/.f64 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72) 4)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (*.f64 x x)))) -72)) 8)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72)) (.f64 2 (.f64 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))) -72))) 16)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(pow.f64 (.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832)) 1)
(.f64 (/.f64 1/52488 (.f64 x x)) (*.f64 x -5832))
(.f64 x (.f64 -11664 (/.f64 1/104976 (*.f64 x x))))
(*.f64 (/.f64 1/52488 x) -5832)
(+.f64 (/.f64 1/52488 (*.f64 x x)) 0)
(/.f64 1/52488 (*.f64 x x))
(+.f64 0 (/.f64 1/52488 (*.f64 x x)))
(/.f64 1/52488 (*.f64 x x))
(-.f64 (/.f64 1/52488 (*.f64 x x)) 0)
(/.f64 1/52488 (*.f64 x x))
(.f64 x (/.f64 x (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(/.f64 1/52488 (*.f64 x x))
(.f64 (.f64 x x) (/.f64 1 (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 1/52488 (.f64 x x)) 1)
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 1/52488 (.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(/.f64 1/52488 (*.f64 x x))
(.f64 1 (/.f64 1/52488 (.f64 x x)))
(/.f64 1/52488 (*.f64 x x))
(*.f64 (/.f64 1/52488 x) (/.f64 1 x))
(/.f64 1/52488 (*.f64 x x))
(.f64 2 (/.f64 (/.f64 1/52488 (.f64 x x)) 2))
(/.f64 1/52488 (*.f64 x x))
(.f64 (.f64 (/.f64 1/52488 (*.f64 x x)) 2) 1/2)
(/.f64 1/52488 (*.f64 x x))
(.f64 (.f64 (/.f64 1/52488 x) 2) (/.f64 2 (*.f64 x 4)))
(/.f64 1/52488 (*.f64 x x))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(/.f64 1/52488 (*.f64 x x))
(*.f64 (/.f64 -1/52488 x) (/.f64 -1 x))
(*.f64 -1 (/.f64 (/.f64 -1/52488 x) x))
(/.f64 1/52488 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 1/52488 x))
(/.f64 1/52488 (*.f64 x x))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(/.f64 1/52488 (*.f64 x x))
(.f64 1/2 (.f64 (/.f64 1/52488 (*.f64 x x)) 2))
(/.f64 1/52488 (*.f64 x x))
(.f64 1/2 (/.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))))
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 1/52488 (.f64 x x)))
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 1 (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (.f64 x x))
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) 1/2)
(/.f64 1/52488 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1/52488 x) x) -1)
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 2 (.f64 x 4)) (*.f64 (/.f64 1/52488 x) 2))
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 (/.f64 1/52488 (.f64 x x)) 2) 2)
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 x (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))) x)
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (.f64 x 1/2))
(/.f64 1/52488 (*.f64 x x))
(.f64 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) (/.f64 x (/.f64 1/52488 x)))) (fabs.f64 x))
(/.f64 1/52488 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 -1/52488 x))
(*.f64 (/.f64 -1/52488 x) (/.f64 -1 x))
(pow.f64 (/.f64 1/52488 (*.f64 x x)) 1)
(/.f64 1/52488 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1/52488 x) x))
(/.f64 1/52488 (*.f64 x x))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
✓	0.7b	(/.f64 (.f64 x 162) (.f64 x -9))

Compiler

Compiled 33 to 24 computations (27.3% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x 162) (.f64 x -9))
0.0ms	x	@	0	(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
0.0ms	x	@	-inf	(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
0.0ms	x	@	inf	(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
0.0ms	x	@	inf	(/.f64 (.f64 x 162) (.f64 x -9))

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-simplify-2`
1438×	`exponential.json-3`
1438×	`rational.json-1`
1438×	`rational.json-2`
1438×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	90	44
2	338	32
3	1691	8
4	5626	8

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(/.f64 (.f64 x 162) (.f64 x -9))
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . -18)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/9 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -9 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -9 (/.f64 (/.f64 1/81 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 2 x) (/.f64 -18 (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9 (/.f64 1/81 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9) (/.f64 (/.f64 1/81 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -18 (/.f64 x (*.f64 x (*.f64 x 162))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -18 (*.f64 (/.f64 (/.f64 1/81 x) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) -1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 -9 (*.f64 x (*.f64 x 162))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 -9 (*.f64 x (*.f64 x 81))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 1/81 x) x) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 x)) -1/36)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -18) (/.f64 2 (*.f64 x (*.f64 x 324))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -18) (*.f64 (/.f64 (/.f64 1/81 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9 (*.f64 x (*.f64 x 81))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/18 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/81 x) -9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/81 x) x) (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/36 (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x 162))) -18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9 (*.f64 x (*.f64 x 162))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x 324))) (*.f64 x -18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9 (/.f64 (/.f64 1/81 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 x) (/.f64 -18 (*.f64 x 324))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9 (*.f64 x (*.f64 x 81))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1/81 x) x) -9/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1/81 x) x) 1/2) (*.f64 x -18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1/81 x) x) (*.f64 x 1/2)) -18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))))

simplify184.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1112×	`rational.json-simplify-19`
1044×	`rational.json-simplify-41`
858×	`rational.json-simplify-2`
822×	`rational.json-simplify-35`
742×	`rational.json-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	829
1	155	817
2	308	769
3	554	769
4	1073	769
5	2790	769
6	4892	769
7	6017	769
8	6764	769
9	7444	769
10	7933	769

Stop Event

1×	node limit

Counts

61 → 58

Calls

Call 1

Inputs
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
-18
(+.f64 0 (/.f64 -1/9 x))
(+.f64 (/.f64 -1/9 x) 0)
(-.f64 (/.f64 -1/9 x) 0)
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(.f64 x (.f64 -9 (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 (/.f64 2 x) (/.f64 -18 (*.f64 x 324))))
(*.f64 -9 (/.f64 1/81 x))
(.f64 (.f64 x -9) (/.f64 (/.f64 1/81 x) x))
(.f64 -18 (/.f64 x (.f64 x (*.f64 x 162))))
(.f64 -18 (.f64 (/.f64 (/.f64 1/81 x) x) (*.f64 x 1/2)))
(*.f64 (/.f64 2 x) -1/18)
(*.f64 1 (/.f64 -1/9 x))
(.f64 (+.f64 x x) (/.f64 -9 (.f64 x (*.f64 x 162))))
(.f64 (+.f64 x x) (.f64 (/.f64 -9 (.f64 x (.f64 x 81))) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1/81 x) x) -9/2))
(.f64 (.f64 2 (/.f64 2 x)) -1/36)
(.f64 (.f64 x -18) (/.f64 2 (.f64 x (.f64 x 324))))
(.f64 (.f64 x -18) (*.f64 (/.f64 (/.f64 1/81 x) x) 1/2))
(*.f64 -1/9 (/.f64 1 x))
(.f64 (/.f64 -9 (.f64 x (*.f64 x 81))) x)
(*.f64 (/.f64 -1/9 x) 1)
(*.f64 (/.f64 1 x) -1/9)
(*.f64 -1/18 (/.f64 2 x))
(*.f64 (/.f64 1/81 x) -9)
(.f64 (/.f64 (/.f64 1/81 x) x) (.f64 x -9))
(.f64 -1/36 (.f64 2 (/.f64 2 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 162))) -18)
(.f64 (/.f64 -9 (.f64 x (*.f64 x 162))) (+.f64 x x))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (.f64 -9 (/.f64 (/.f64 1/81 x) x)) x)
(.f64 (.f64 (/.f64 2 x) (/.f64 -18 (*.f64 x 324))) x)
(.f64 (.f64 (/.f64 -9 (.f64 x (.f64 x 81))) 1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) -9/2) (+.f64 x x))
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) 1/2) (*.f64 x -18))
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) (*.f64 x 1/2)) -18)
(pow.f64 (/.f64 -1/9 x) 1)

Outputs
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
-18
(+.f64 0 (/.f64 -1/9 x))
(/.f64 -1/9 x)
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(-.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(.f64 x (/.f64 (/.f64 -9 x) (.f64 x 81)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 x (.f64 -9 (/.f64 (/.f64 1/81 x) x)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 x (.f64 (/.f64 2 x) (/.f64 -18 (*.f64 x 324))))
(.f64 (/.f64 2 x) (.f64 (/.f64 -18 (*.f64 x 324)) x))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 x (.f64 (/.f64 2 x) (/.f64 -1/18 x)))
(.f64 (/.f64 -1/18 x) (.f64 x (/.f64 2 x)))
(*.f64 -9 (/.f64 1/81 x))
(.f64 (.f64 x -9) (/.f64 (/.f64 1/81 x) x))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 -18 (/.f64 x (.f64 x (*.f64 x 162))))
(.f64 -18 (/.f64 (/.f64 x (.f64 x 162)) x))
(.f64 -18 (/.f64 (/.f64 x (.f64 x x)) 162))
(.f64 -18 (/.f64 (/.f64 x x) (.f64 x 162)))
(*.f64 -18 (/.f64 (/.f64 (/.f64 x 162) x) x))
(.f64 -18 (.f64 (/.f64 (/.f64 1/81 x) x) (*.f64 x 1/2)))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(*.f64 (/.f64 2 x) -1/18)
(*.f64 1 (/.f64 -1/9 x))
(/.f64 -1/9 x)
(.f64 (+.f64 x x) (/.f64 -9 (.f64 x (*.f64 x 162))))
(.f64 (+.f64 x x) (/.f64 (/.f64 -9 x) (.f64 x 162)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 -1/18 x) x))
(.f64 (+.f64 x x) (/.f64 -1/18 (.f64 x x)))
(.f64 2 (.f64 (/.f64 -1/18 (*.f64 x x)) x))
(.f64 2 (/.f64 x (/.f64 (.f64 x x) -1/18)))
(.f64 (+.f64 x x) (.f64 (/.f64 -9 (.f64 x (.f64 x 81))) 1/2))
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(.f64 x (/.f64 (/.f64 -9 x) (.f64 x 81)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1/81 x) x) -9/2))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (.f64 2 (/.f64 2 x)) -1/36)
(*.f64 (/.f64 2 x) -1/18)
(.f64 (.f64 x -18) (/.f64 2 (.f64 x (.f64 x 324))))
(.f64 (.f64 -18 x) (/.f64 2 (.f64 x (.f64 x 324))))
(.f64 -18 (.f64 (/.f64 (/.f64 2 x) (*.f64 x 324)) x))
(.f64 -18 (.f64 x (/.f64 (/.f64 1/162 x) x)))
(.f64 (.f64 x -18) (*.f64 (/.f64 (/.f64 1/81 x) x) 1/2))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(*.f64 -1/9 (/.f64 1 x))
(.f64 (/.f64 -9 (.f64 x (*.f64 x 81))) x)
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(.f64 x (/.f64 (/.f64 -9 x) (.f64 x 81)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(*.f64 (/.f64 -1/9 x) 1)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(*.f64 -1/9 (/.f64 1 x))
(*.f64 -1/18 (/.f64 2 x))
(*.f64 (/.f64 2 x) -1/18)
(*.f64 (/.f64 1/81 x) -9)
(*.f64 -9 (/.f64 1/81 x))
(.f64 (/.f64 (/.f64 1/81 x) x) (.f64 x -9))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 -1/36 (.f64 2 (/.f64 2 x)))
(*.f64 (/.f64 2 x) -1/18)
(.f64 (/.f64 x (.f64 x (*.f64 x 162))) -18)
(.f64 -18 (/.f64 x (.f64 x (*.f64 x 162))))
(.f64 -18 (/.f64 (/.f64 x (.f64 x 162)) x))
(.f64 -18 (/.f64 (/.f64 x (.f64 x x)) 162))
(.f64 -18 (/.f64 (/.f64 x x) (.f64 x 162)))
(*.f64 -18 (/.f64 (/.f64 (/.f64 x 162) x) x))
(.f64 (/.f64 -9 (.f64 x (*.f64 x 162))) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 -9 (.f64 x (*.f64 x 162))))
(.f64 (+.f64 x x) (/.f64 (/.f64 -9 x) (.f64 x 162)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 -1/18 x) x))
(.f64 (+.f64 x x) (/.f64 -1/18 (.f64 x x)))
(.f64 2 (.f64 (/.f64 -1/18 (*.f64 x x)) x))
(.f64 2 (/.f64 x (/.f64 (.f64 x x) -1/18)))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (.f64 -18 x) (/.f64 2 (.f64 x (.f64 x 324))))
(.f64 -18 (.f64 (/.f64 (/.f64 2 x) (*.f64 x 324)) x))
(.f64 -18 (.f64 x (/.f64 (/.f64 1/162 x) x)))
(.f64 (.f64 -9 (/.f64 (/.f64 1/81 x) x)) x)
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (.f64 (/.f64 2 x) (/.f64 -18 (*.f64 x 324))) x)
(.f64 (/.f64 2 x) (.f64 (/.f64 -18 (*.f64 x 324)) x))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 x (.f64 (/.f64 2 x) (/.f64 -1/18 x)))
(.f64 (/.f64 -1/18 x) (.f64 x (/.f64 2 x)))
(.f64 (.f64 (/.f64 -9 (.f64 x (.f64 x 81))) 1/2) (+.f64 x x))
(.f64 x (/.f64 -9 (.f64 x (*.f64 x 81))))
(.f64 x (/.f64 (/.f64 -9 x) (.f64 x 81)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) -9/2) (+.f64 x x))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) 1/2) (*.f64 x -18))
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(.f64 (.f64 (/.f64 (/.f64 1/81 x) x) (*.f64 x 1/2)) -18)
(.f64 x (.f64 -9 (/.f64 1/81 (*.f64 x x))))
(.f64 (/.f64 1/81 (.f64 x x)) (*.f64 x -9))
(pow.f64 (/.f64 -1/9 x) 1)
(/.f64 -1/9 x)

eval106.0ms (1.3%)

Compiler: Compiled 5731 to 3989 computations (30.4% saved)

prune83.0ms (1%)

Pruning

36 alts after pruning (22 fresh and 14 done)

	Pruned	Kept	Total
New	403	11	414
Fresh	6	11	17
Picked	0	1	1
Done	2	13	15
Total	411	36	447

Error

0.0b

Counts

447 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	41.5b	(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
	54.0b	(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
✓	41.5b	(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
	41.5b	(/.f64 (/.f64 2 x) -18)
✓	54.0b	(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
✓	41.6b	(/.f64 -1/9 x)
✓	0.5b	(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
✓	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
	0.3b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 (/.f64 (sqrt.f64 x) x)) y))
✓	21.7b	(-.f64 1 (/.f64 1/9 x))
✓	41.4b	(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
✓	54.0b	(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
	54.2b	(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
	41.6b	(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
	41.5b	(*.f64 (/.f64 1/52488 x) -5832)
	41.5b	(.f64 (/.f64 -1 (.f64 x 81)) 9)
	41.6b	(*.f64 (/.f64 -9/2 x) 2/81)
	42.0b	(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
	56.2b	(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
✓	41.7b	(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
✓	41.7b	(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
	54.2b	(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
	54.1b	(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
	54.0b	(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
✓	41.5b	(*.f64 -18 (/.f64 1/162 x))
	41.4b	(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
	54.1b	(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
	54.2b	(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
✓	54.1b	(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
	54.1b	(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
	41.5b	(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
	54.1b	(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
	41.5b	(neg.f64 (/.f64 9 (*.f64 x 81)))
	43.6b	1

Compiler

Compiled 395 to 312 computations (21% saved)

regimes83.0ms (1%)

Counts

53 → 1

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 1 (/.f64 1/9 x))
(/.f64 (/.f64 2 x) -18)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(/.f64 (.f64 x -1/9) (.f64 x x))
(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 (/.f64 (sqrt.f64 x) x)) y))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 (sqrt.f64 x) (*.f64 6 (/.f64 1/18 x))) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (sqrt.f64 x) (/.f64 y (.f64 (sqrt.f64 (*.f64 x x)) 3))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))) 1/3) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 (sqrt.f64 x) (.f64 6 (/.f64 1/18 (sqrt.f64 (.f64 x x))))) y))

Outputs
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))

Calls

3 calls:

24.0ms	y
24.0ms	x
21.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))`

Compiler

Compiled 545 to 381 computations (30.1% saved)

regimes74.0ms (0.9%)

Counts

48 → 1

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 1 (/.f64 1/9 x))
(/.f64 (/.f64 2 x) -18)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(/.f64 (.f64 x -1/9) (.f64 x x))
(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 (/.f64 (sqrt.f64 x) x)) y))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Calls

3 calls:

21.0ms	x
21.0ms	y
19.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))`

Compiler

Compiled 462 to 330 computations (28.6% saved)

regimes57.0ms (0.7%)

Counts

47 → 1

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 1 (/.f64 1/9 x))
(/.f64 (/.f64 2 x) -18)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(/.f64 (.f64 x -1/9) (.f64 x x))
(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 (/.f64 (sqrt.f64 x) x)) y))

Outputs
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))

Calls

2 calls:

23.0ms	y
21.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`

Compiler

Compiled 432 to 307 computations (28.9% saved)

regimes51.0ms (0.6%)

Counts

44 → 1

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 1 (/.f64 1/9 x))
(/.f64 (/.f64 2 x) -18)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(/.f64 (.f64 x -1/9) (.f64 x x))
(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Calls

2 calls:

20.0ms	y
19.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 394 to 282 computations (28.4% saved)

regimes54.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 1 (/.f64 1/9 x))
(/.f64 (/.f64 2 x) -18)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(/.f64 (.f64 x -1/9) (.f64 x x))
(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))

Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))

Calls

2 calls:

23.0ms	x
19.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 382 to 274 computations (28.3% saved)

regimes191.0ms (2.4%)

Counts

42 → 3

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 1 (/.f64 1/9 x))
(/.f64 (/.f64 2 x) -18)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(/.f64 (.f64 x -1/9) (.f64 x x))
(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)

Outputs
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (/.f64 1/9 x))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))

Calls

2 calls:

113.0ms	x
67.0ms	y

Results

Error	Segments	Branch
18.2b	7	`x`
4.7b	3	`y`

Compiler

Compiled 370 to 265 computations (28.4% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.47028928401904e+41	3.940012918065754e+42
19.0ms	-5.054844046186356e+72	-4.6652694649730813e+67

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 325 to 273 computations (16% saved)

regimes47.0ms (0.6%)

Counts

39 → 1

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)
(-.f64 1 (/.f64 1/9 x))
(/.f64 (/.f64 2 x) -18)
(neg.f64 (/.f64 9 (*.f64 x 81)))
(.f64 -18 (.f64 324 (/.f64 1/52488 x)))
(.f64 x (/.f64 -1/9 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x 81)) 9)
(+.f64 -1 (-.f64 1 (/.f64 1/9 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(/.f64 (.f64 x -1/9) (.f64 x x))
(*.f64 -18 (+.f64 -1 (-.f64 1 (/.f64 -1/162 x))))
(.f64 -9 (/.f64 (/.f64 x x) (.f64 x 81)))
(.f64 -1/9 (.f64 (/.f64 1 (*.f64 x x)) x))
(.f64 x (/.f64 -9 (.f64 81 (*.f64 x x))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 -1/18 x)))
(.f64 (/.f64 x (.f64 x (*.f64 x 81))) -9)
(/.f64 (.f64 x -9) (.f64 x (*.f64 x 81)))
(/.f64 (/.f64 1/81 x) (/.f64 x (*.f64 x -9)))
(/.f64 (/.f64 (.f64 x -18) x) (.f64 x 162))
(/.f64 (/.f64 (.f64 x -9) (.f64 x x)) 81)
(/.f64 (/.f64 (*.f64 x (/.f64 -9 x)) x) 81)
(.f64 -18 (.f64 x (.f64 324 (/.f64 1/52488 (.f64 x x)))))
(.f64 -18 (.f64 (*.f64 x 324) (/.f64 (/.f64 1/52488 x) x)))
(.f64 -18 (.f64 (/.f64 162 (.f64 x (.f64 x 26244))) x))
(.f64 -18 (/.f64 (.f64 x 324) (/.f64 x (/.f64 1/52488 x))))
(.f64 -9/2 (.f64 x (/.f64 2 (.f64 81 (.f64 x x)))))
(*.f64 -9/2 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) 81))
(.f64 (.f64 x -9) (/.f64 (/.f64 1 x) (*.f64 x 81)))
(.f64 (/.f64 2 (.f64 x (.f64 x 81))) (.f64 x -9/2))
(.f64 (/.f64 2 (.f64 x (.f64 x 324))) (.f64 x -18))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x -9) -18))) -18)
(/.f64 (/.f64 2 x) (/.f64 (.f64 x 162) (.f64 x -9)))
(.f64 -18 (.f64 81 (.f64 (/.f64 2 (.f64 x (*.f64 x 26244))) x)))
(.f64 -18 (.f64 x (.f64 324 (.f64 (/.f64 1 x) (/.f64 1/52488 x)))))
(.f64 (.f64 x -9) (.f64 (/.f64 x (.f64 x (.f64 x (.f64 x 162)))) 2))

Outputs
(-.f64 1 (/.f64 1/9 x))

Calls

2 calls:

18.0ms	x
18.0ms	y

Results

Error	Segments	Branch
21.7b	1	`x`
21.7b	1	`y`

Compiler

Compiled 346 to 247 computations (28.6% saved)

regimes350.0ms (4.4%)

Counts

5 → 2

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)
(*.f64 (/.f64 1/52488 x) -5832)

Outputs
(*.f64 (/.f64 1/52488 x) -5832)
1

Calls

2 calls:

325.0ms	x
24.0ms	y

Results

Error	Segments	Branch
22.3b	2	`x`
36.2b	6	`y`

Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	0.0025449124052592097	98.48348703996061

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 117 to 105 computations (10.3% saved)

regimes34.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

Inputs
1
(/.f64 -1/9 x)
(*.f64 -18 (/.f64 1/162 x))
(*.f64 (/.f64 -9/2 x) 2/81)

Outputs
(*.f64 -18 (/.f64 1/162 x))
1

Calls

2 calls:

22.0ms	y
11.0ms	x

Results

Error	Segments	Branch
22.4b	2	`x`
36.2b	6	`y`

Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.0025449124052592097	98.48348703996061

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 117 to 105 computations (10.3% saved)

regimes26.0ms (0.3%)

Accuracy

Total -40.7b remaining (-181.5%)

Threshold costs -40.7b (-181.5%)

Counts

2 → 2

Calls

Call 1

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

Outputs
(/.f64 -1/9 x)
1

Calls

2 calls:

17.0ms	y
9.0ms	x

Results

Error	Segments	Branch
22.4b	2	`x`
36.3b	6	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.0025449124052592097	98.48348703996061

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 101 to 89 computations (11.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	341

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(if (<=.f64 y -2899999999999999827217280289962567276272529000397617766318028904988672) (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) (if (<=.f64 y 3899999999999999695352514221411218940231680) (-.f64 1 (/.f64 1/9 x)) (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))))
(-.f64 1 (/.f64 1/9 x))
(if (<=.f64 x 7926335344172073/72057594037927936) (*.f64 (/.f64 1/52488 x) -5832) 1)
(if (<=.f64 x 7926335344172073/72057594037927936) (*.f64 -18 (/.f64 1/162 x)) 1)
(if (<=.f64 x 7926335344172073/72057594037927936) (/.f64 -1/9 x) 1)
1

Outputs
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1 (*.f64 x 9)))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 y 3) (sqrt.f64 x))) (/.f64 1/9 x))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(if (<=.f64 y -2899999999999999827217280289962567276272529000397617766318028904988672) (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) (if (<=.f64 y 3899999999999999695352514221411218940231680) (-.f64 1 (/.f64 1/9 x)) (.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))))
(-.f64 1 (/.f64 1/9 x))
(if (<=.f64 x 7926335344172073/72057594037927936) (*.f64 (/.f64 1/52488 x) -5832) 1)
(if (<=.f64 x 7926335344172073/72057594037927936) (*.f64 -18 (/.f64 1/162 x)) 1)
(if (<=.f64 x 7926335344172073/72057594037927936) (/.f64 -1/9 x) 1)
1

Compiler

Compiled 149 to 120 computations (19.5% saved)

soundness142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational.json-simplify-61`
1118×	`rational.json-simplify-59`
1004×	`rational.json-simplify-49`
934×	`rational.json-simplify-35`
832×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	35
2	58	35
3	102	35
4	196	35
5	376	35
6	869	35
7	1718	35
8	5502	35
9	7083	35

Stop Event

1×	node limit

Compiler

Compiled 44 to 33 computations (25% saved)

end83.0ms (1%)

Compiler: Compiled 129 to 96 computations (25.6% saved)