Details

analyze51.0ms (0.7%)

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%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	74.9%	0.1%	0%	25%	0%	4
0%	0%	74.9%	0.1%	0%	25%	0%	5
30%	18.7%	43.7%	0.1%	0%	37.5%	0%	6
45%	28.1%	34.3%	0.1%	0%	37.5%	0%	7
58.3%	32.8%	23.4%	0.1%	0%	43.7%	0%	8
67.1%	36.7%	18%	0.1%	1.6%	43.7%	0%	9
76.5%	39.4%	12.1%	0.1%	1.6%	46.8%	0%	10
81.9%	41.6%	9.2%	0.1%	2.3%	46.8%	0%	11
87.5%	43%	6.1%	0.1%	2.3%	48.4%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.5s (20.2%)

Results

1.4s	8256×	body	256	valid
24.0ms	254×	body	256	invalid
15.0ms	147×	body	256	infinite

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

32×	`rational_best-simplify-2`
24×	`rational_best-simplify-1`
8×	`rational_best-simplify-44`
8×	`rational_best-simplify-43`
8×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	82
1	33	82
2	43	82
3	59	82
4	71	82
5	75	82
6	77	82
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`rational_best-simplify-2`
12×	`rational_best-simplify-1`
4×	`rational_best-simplify-44`
4×	`rational_best-simplify-43`
4×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	21	41
2	26	41
3	34	41
4	40	41
5	42	41
6	43	41

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 44 to 33 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 36 computations (29.4% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	y	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	-inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.0ms	y	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

rewrite128.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-1`
1304×	`rational_best-2`
1144×	`rational_best-simplify-2`
1102×	`rational_best-4`
1102×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	97	84
2	136	84
3	157	84
4	177	84
5	183	84
6	192	84
7	204	84
8	224	84
9	266	84
10	378	84
11	889	84
12	1848	84
13	4063	84
14	6593	84
15	7815	84

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

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

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

simplify326.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1932×	`rational_best-simplify-2`
1470×	`rational_best-simplify-1`
1210×	`rational_best-simplify-53`
1100×	`rational_best-simplify-55`
832×	`rational_best-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	115	1998
1	202	1944
2	481	1854
3	929	1854
4	1617	1842
5	2898	1842
6	6305	1842
7	6658	1842
8	7022	1842
9	7115	1842
10	7182	1842
11	7255	1842

Stop Event

1×	node limit

Counts

104 → 85

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 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) -1))
(+.f64 (/.f64 1 (*.f64 x 9)) 0)
(+.f64 3 (+.f64 -1 (+.f64 (/.f64 1 (*.f64 x 9)) -2)))
(+.f64 0 (/.f64 1 (*.f64 x 9)))
(+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 x 9))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x 9)) -1) 1)
(+.f64 (+.f64 1 (/.f64 1 (.f64 x -9))) (+.f64 -1 (.f64 (/.f64 1 (*.f64 x 9)) 2)))
(+.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x 9)) 2))
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x 9)) -2))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) (/.f64 1 (*.f64 x -9)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x 9))) -1)
(+.f64 (+.f64 -1 (.f64 (/.f64 1 (.f64 x 9)) 2)) (+.f64 1 (/.f64 1 (*.f64 x -9))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x 9)) -2) 2)
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) -2) (+.f64 (/.f64 1 (*.f64 x -9)) 2))
(+.f64 -2 (+.f64 1 (+.f64 1 (/.f64 1 (*.f64 x 9)))))
(+.f64 (+.f64 -1 (/.f64 1 (.f64 x -9))) (+.f64 1 (.f64 (/.f64 1 (*.f64 x 9)) 2)))
(+.f64 (+.f64 (/.f64 1 (.f64 x -9)) 2) (+.f64 (.f64 (/.f64 1 (*.f64 x 9)) 2) -2))
(+.f64 (+.f64 1 (+.f64 2 (.f64 (/.f64 1 (.f64 x -9)) 2))) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(+.f64 (+.f64 -1 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) -2)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x -9)) 2)))
(+.f64 (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)) (+.f64 1 (+.f64 2 (.f64 (/.f64 1 (.f64 x -9)) 2))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 1 (*.f64 x 9)) -2)) 3)
(+.f64 (+.f64 1 (.f64 (/.f64 1 (.f64 x 9)) 2)) (+.f64 -1 (/.f64 1 (*.f64 x -9))))
(+.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 x -9)) 2)) (+.f64 -1 (+.f64 (.f64 (/.f64 1 (*.f64 x 9)) 2) -2)))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 1 (*.f64 x 9)))) -2)
(-.f64 (/.f64 1 (*.f64 x 9)) 0)
(-.f64 0 (/.f64 1 (*.f64 x -9)))
(-.f64 (+.f64 (/.f64 1 (*.f64 x 9)) -1) -1)
(-.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x -9)) 2))
(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) (/.f64 1 (*.f64 x 9)))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x 9))) 1)
(-.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (+.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x -9)) 2)))
(-.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (-.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 4)))
(-.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (neg.f64 (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2))))
(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))
(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (neg.f64 (+.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x -9)) 2))))
(.f64 1 (/.f64 1 (.f64 x 9)))
(.f64 (/.f64 1 (.f64 x 9)) 1)
(.f64 -1 (/.f64 1 (.f64 x -9)))
(.f64 (/.f64 1 (.f64 x -9)) -1)
(pow.f64 (/.f64 1 (*.f64 x 9)) 1)
(neg.f64 (/.f64 1 (*.f64 x -9)))
(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 0)
(+.f64 0 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(-.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 0)
(/.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 1)
(pow.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 1)
(+.f64 (*.f64 3 (sqrt.f64 x)) 0)
(+.f64 0 (*.f64 3 (sqrt.f64 x)))
(-.f64 (*.f64 3 (sqrt.f64 x)) 0)
(/.f64 (*.f64 3 (sqrt.f64 x)) 1)
(pow.f64 (*.f64 3 (sqrt.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (*.f64 x 9)) y) 0)
(.f64 1 (+.f64 (/.f64 1 (.f64 x 9)) y))
(.f64 (+.f64 (/.f64 1 (.f64 x 9)) y) 1)
(/.f64 (+.f64 (/.f64 1 (*.f64 x 9)) y) 1)
(pow.f64 (+.f64 (/.f64 1 (*.f64 x 9)) y) 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 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) -1))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (/.f64 1 (*.f64 x 9)) 0)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 3 (+.f64 -1 (+.f64 (/.f64 1 (*.f64 x 9)) -2)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 0 (/.f64 1 (*.f64 x 9)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 x 9))))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 (/.f64 1 (*.f64 x 9)) -1) 1)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 1 (/.f64 1 (.f64 x -9))) (+.f64 -1 (.f64 (/.f64 1 (*.f64 x 9)) 2)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x 9)) 2))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x 9)) -2))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) (/.f64 1 (*.f64 x -9)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x 9))) -1)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 -1 (.f64 (/.f64 1 (.f64 x 9)) 2)) (+.f64 1 (/.f64 1 (*.f64 x -9))))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 (/.f64 1 (*.f64 x 9)) -2) 2)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) -2) (+.f64 (/.f64 1 (*.f64 x -9)) 2))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 -2 (+.f64 1 (+.f64 1 (/.f64 1 (*.f64 x 9)))))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 -1 (/.f64 1 (.f64 x -9))) (+.f64 1 (.f64 (/.f64 1 (*.f64 x 9)) 2)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 (/.f64 1 (.f64 x -9)) 2) (+.f64 (.f64 (/.f64 1 (*.f64 x 9)) 2) -2))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 1 (+.f64 2 (.f64 (/.f64 1 (.f64 x -9)) 2))) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) 3) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(+.f64 3 (+.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1))))
(+.f64 (+.f64 3 (.f64 (/.f64 1 (.f64 x -9)) 2)) (.f64 3 (+.f64 (/.f64 -1 (.f64 x -9)) -1)))
(+.f64 (+.f64 3 (.f64 (/.f64 1 (.f64 x -9)) 2)) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(+.f64 (+.f64 3 (/.f64 2 (.f64 x -9))) (.f64 3 (+.f64 (/.f64 -1 (*.f64 x -9)) -1)))
(+.f64 (+.f64 3 (/.f64 -2 (.f64 x 9))) (.f64 3 (+.f64 (/.f64 1 (*.f64 x 9)) -1)))
(+.f64 (+.f64 -1 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) -2)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x -9)) 2)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)) (+.f64 1 (+.f64 2 (.f64 (/.f64 1 (.f64 x -9)) 2))))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) 3) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(+.f64 3 (+.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1))))
(+.f64 (+.f64 3 (.f64 (/.f64 1 (.f64 x -9)) 2)) (.f64 3 (+.f64 (/.f64 -1 (.f64 x -9)) -1)))
(+.f64 (+.f64 3 (.f64 (/.f64 1 (.f64 x -9)) 2)) (.f64 3 (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(+.f64 (+.f64 3 (/.f64 2 (.f64 x -9))) (.f64 3 (+.f64 (/.f64 -1 (*.f64 x -9)) -1)))
(+.f64 (+.f64 3 (/.f64 -2 (.f64 x 9))) (.f64 3 (+.f64 (/.f64 1 (*.f64 x 9)) -1)))
(+.f64 (+.f64 -1 (+.f64 (/.f64 1 (*.f64 x 9)) -2)) 3)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 1 (.f64 (/.f64 1 (.f64 x 9)) 2)) (+.f64 -1 (/.f64 1 (*.f64 x -9))))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 x -9)) 2)) (+.f64 -1 (+.f64 (.f64 (/.f64 1 (*.f64 x 9)) 2) -2)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 1 (*.f64 x 9)))) -2)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (/.f64 1 (*.f64 x 9)) 0)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 0 (/.f64 1 (*.f64 x -9)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (+.f64 (/.f64 1 (*.f64 x 9)) -1) -1)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x -9)) 2))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 2) (/.f64 1 (*.f64 x 9)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x 9))) 1)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (+.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x -9)) 2)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (-.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 4)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (.f64 (/.f64 1 (.f64 x -9)) 2) (neg.f64 (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2))))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (neg.f64 (+.f64 (/.f64 1 (.f64 x -9)) (.f64 (/.f64 1 (*.f64 x -9)) 2))))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(.f64 1 (/.f64 1 (.f64 x 9)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(.f64 (/.f64 1 (.f64 x 9)) 1)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(.f64 -1 (/.f64 1 (.f64 x -9)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(.f64 (/.f64 1 (.f64 x -9)) -1)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(pow.f64 (/.f64 1 (*.f64 x 9)) 1)
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(neg.f64 (/.f64 1 (*.f64 x -9)))
(/.f64 1 (*.f64 x 9))
(/.f64 -1 (*.f64 x -9))
(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 0)
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 -1 (*.f64 x -9)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 -1 (*.f64 x -9)) (+.f64 y -1)))
(+.f64 0 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 -1 (*.f64 x -9)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 -1 (*.f64 x -9)) (+.f64 y -1)))
(-.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 0)
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 -1 (*.f64 x -9)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 -1 (*.f64 x -9)) (+.f64 y -1)))
(/.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 1)
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 -1 (*.f64 x -9)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 -1 (*.f64 x -9)) (+.f64 y -1)))
(pow.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))) 1)
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 -1 (*.f64 x -9)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 -1 (*.f64 x -9)) (+.f64 y -1)))
(+.f64 (*.f64 3 (sqrt.f64 x)) 0)
(*.f64 3 (sqrt.f64 x))
(+.f64 0 (*.f64 3 (sqrt.f64 x)))
(*.f64 3 (sqrt.f64 x))
(-.f64 (*.f64 3 (sqrt.f64 x)) 0)
(*.f64 3 (sqrt.f64 x))
(/.f64 (*.f64 3 (sqrt.f64 x)) 1)
(*.f64 3 (sqrt.f64 x))
(pow.f64 (*.f64 3 (sqrt.f64 x)) 1)
(*.f64 3 (sqrt.f64 x))
(-.f64 (+.f64 (/.f64 1 (*.f64 x 9)) y) 0)
(+.f64 y (/.f64 1 (*.f64 x 9)))
(+.f64 y (/.f64 -1 (*.f64 x -9)))
(.f64 1 (+.f64 (/.f64 1 (.f64 x 9)) y))
(+.f64 y (/.f64 1 (*.f64 x 9)))
(+.f64 y (/.f64 -1 (*.f64 x -9)))
(.f64 (+.f64 (/.f64 1 (.f64 x 9)) y) 1)
(+.f64 y (/.f64 1 (*.f64 x 9)))
(+.f64 y (/.f64 -1 (*.f64 x -9)))
(/.f64 (+.f64 (/.f64 1 (*.f64 x 9)) y) 1)
(+.f64 y (/.f64 1 (*.f64 x 9)))
(+.f64 y (/.f64 -1 (*.f64 x -9)))
(pow.f64 (+.f64 (/.f64 1 (*.f64 x 9)) y) 1)
(+.f64 y (/.f64 1 (*.f64 x 9)))
(+.f64 y (/.f64 -1 (*.f64 x -9)))

eval193.0ms (2.7%)

Compiler: Compiled 1604 to 1232 computations (23.2% saved)

prune29.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	10	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	11	86

Error

0.1b

Counts

86 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	21.8b	(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
✓	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1/9 x)) 1))
	0.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
▶	26.0b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
▶	0.6b	(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))
	41.5b	(.f64 y (.f64 3 (sqrt.f64 x)))
	0.4b	(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
	21.8b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
▶	0.4b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
▶	41.5b	(.f64 3 (.f64 (sqrt.f64 x) y))

Compiler

Compiled 318 to 257 computations (19.2% saved)

localize874.0ms (12.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) y))
✓	0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
✓	0.4b	(*.f64 1/9 (/.f64 1 x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

15 calls:

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

rewrite16.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

46×	`rational_best-simplify-2`
40×	`rational_best-simplify-1`
32×	`rational_best-4`
32×	`rational_best-2`
32×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	89
1	105	89
2	147	89
3	175	89
4	181	89

Stop Event

1×

saturated

Counts

3 → 15

Calls

Call 1

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

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

Outputs

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

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

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

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

58×	`rational_best-simplify-1`
50×	`rational_best-simplify-2`
32×	`rational_best-simplify-43`
18×	`rational_best-simplify-6`
16×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	1697
1	64	1333
2	98	1333
3	131	1333
4	151	1333
5	155	1333
6	155	1333

Stop Event

1×

saturated

Counts

51 → 32

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 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) 0)
(+.f64 0 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 1/9 (/.f64 1 x)) 0)
(/.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(pow.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 0)
(+.f64 0 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 0)
(/.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 1)
(pow.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 1)
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 0)
(+.f64 0 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 0)
(/.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 1)
(pow.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 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 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 3 (.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) 0)
(*.f64 1/9 (/.f64 1 x))
(+.f64 0 (*.f64 1/9 (/.f64 1 x)))
(*.f64 1/9 (/.f64 1 x))
(-.f64 (*.f64 1/9 (/.f64 1 x)) 0)
(*.f64 1/9 (/.f64 1 x))
(/.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(*.f64 1/9 (/.f64 1 x))
(pow.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(*.f64 1/9 (/.f64 1 x))
(+.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 0)
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 0 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 0)
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(/.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 1)
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 -1 y)))) 1)
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 0)
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 0 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 0)
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(/.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 1)
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(pow.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 -1 y))) 1)
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 7 computations (58.8% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite14.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`rational_best-simplify-2`
20×	`rational_best-4`
20×	`rational_best-2`
20×	`rational_best-3`
20×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	60	28
2	95	28
3	105	28
4	107	28

Stop Event

1×

saturated

Counts

2 → 10

Calls

Call 1

Inputs
(.f64 3 (.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)

Outputs

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`rational_best-simplify-2`
12×	`rational_best-simplify-6`
10×	`rational_best-simplify-47`
4×	`rational_best-simplify-4`
4×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	476
1	32	476
2	43	476
3	49	476
4	51	476

Stop Event

1×

saturated

Counts

34 → 13

Calls

Call 1

Inputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 0)
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) y)))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 0)
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 1)
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 1)
(+.f64 (*.f64 (sqrt.f64 x) y) 0)
(+.f64 0 (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) 0)
(/.f64 (*.f64 (sqrt.f64 x) y) 1)
(pow.f64 (*.f64 (sqrt.f64 x) y) 1)

Outputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 0)
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) y)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 0)
(.f64 y (.f64 3 (sqrt.f64 x)))
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 1)
(.f64 y (.f64 3 (sqrt.f64 x)))
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) y)) 1)
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) y) 0)
(*.f64 y (sqrt.f64 x))
(+.f64 0 (*.f64 (sqrt.f64 x) y))
(*.f64 y (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 x) y) 0)
(*.f64 y (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) y) 1)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) y) 1)
(*.f64 y (sqrt.f64 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite13.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`rational_best-simplify-2`
24×	`rational_best-simplify-1`
22×	`rational_best-4`
22×	`rational_best-2`
22×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	71	23
2	104	23
3	120	23
4	124	23

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`rational_best-simplify-2`
14×	`rational_best-simplify-6`
12×	`rational_best-simplify-47`
8×	`rational_best-simplify-1`
8×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	457
1	36	457
2	50	367
3	62	367
4	72	367
5	73	367

Stop Event

1×

saturated

Counts

17 → 14

Calls

Call 1

Inputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 0)
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 0)
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 1)
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 1)

Outputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y -1)))
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y -1)))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y -1)))
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y -1)))
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y -1)))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 40 to 26 computations (35% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

15 calls:

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

rewrite18.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`rational_best-simplify-2`
42×	`rational_best-simplify-1`
30×	`rational_best-4`
30×	`rational_best-2`
30×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	90	55
2	127	55
3	147	55
4	167	55
5	171	55

Stop Event

1×

saturated

Counts

3 → 16

Calls

Call 1

Inputs
(/.f64 1/9 x)
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1/9 x)) 1))
(+.f64 y (/.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 (/.f64 1/9 x) 0)))) (#(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 pow.f64 (/.f64 1/9 x) 1)))))

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

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

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

64×	`rational_best-simplify-1`
62×	`rational_best-simplify-2`
42×	`rational_best-simplify-43`
18×	`rational_best-simplify-51`
14×	`rational_best-simplify-6`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	1224
1	63	1170
2	97	1080
3	131	1080
4	148	1080
5	161	1080
6	170	1080
7	171	1080

Stop Event

1×

saturated

Counts

52 → 32

Calls

Call 1

Inputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) 0)
(+.f64 0 (/.f64 1/9 x))
(-.f64 (/.f64 1/9 x) 0)
(*.f64 (/.f64 1/9 x) 1)
(*.f64 1 (/.f64 1/9 x))
(pow.f64 (/.f64 1/9 x) 1)
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 0)
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 0)
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1)
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1)
(-.f64 (+.f64 (/.f64 1/9 x) y) 0)
(*.f64 (+.f64 (/.f64 1/9 x) y) 1)
(*.f64 1 (+.f64 (/.f64 1/9 x) y))
(/.f64 (+.f64 (/.f64 1/9 x) y) 1)
(pow.f64 (+.f64 (/.f64 1/9 x) y) 1)

Outputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (.f64 3 (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/9 (/.f64 1 x)) y)
(+.f64 (/.f64 1/9 x) 0)
(/.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) 1)
(/.f64 1/9 x)
(*.f64 1 (/.f64 1/9 x))
(/.f64 1/9 x)
(pow.f64 (/.f64 1/9 x) 1)
(/.f64 1/9 x)
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 0)
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x)))))
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x)))))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 0)
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x)))))
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1)
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x)))))
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1)
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x)))))
(-.f64 (+.f64 (/.f64 1/9 x) y) 0)
(+.f64 y (/.f64 1/9 x))
(*.f64 (+.f64 (/.f64 1/9 x) y) 1)
(+.f64 y (/.f64 1/9 x))
(*.f64 1 (+.f64 (/.f64 1/9 x) y))
(+.f64 y (/.f64 1/9 x))
(/.f64 (+.f64 (/.f64 1/9 x) y) 1)
(+.f64 y (/.f64 1/9 x))
(pow.f64 (+.f64 (/.f64 1/9 x) y) 1)
(+.f64 y (/.f64 1/9 x))

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3)
	0.3b	(/.f64 1 (*.f64 x 9))
✓	0.5b	(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))

Compiler

Compiled 59 to 45 computations (23.7% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite114.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-1`
1304×	`rational_best-2`
1144×	`rational_best-simplify-2`
1102×	`rational_best-4`
1102×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	107	72
2	157	72
3	188	72
4	204	72
5	224	72
6	266	72
7	378	72
8	891	72
9	1835	72
10	4060	72
11	6598	72
12	7818	72

Stop Event

1×	node limit

Counts

2 → 10

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

60×	`rational_best-simplify-2`
34×	`rational_best-simplify-1`
16×	`rational_best-simplify-44`
14×	`rational_best-simplify-6`
12×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	1626
1	76	1518
2	106	1428
3	122	1428
4	134	1428
5	137	1428

Stop Event

1×

saturated

Counts

46 → 32

Calls

Call 1

Inputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(*.f64 3 y)
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(*.f64 3 y)
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(/.f64 1/3 x)
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(*.f64 3 (-.f64 y 1))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(*.f64 3 (-.f64 y 1))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 0)
(+.f64 0 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 0)
(/.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 1)
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 1)
(+.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 0)
(+.f64 0 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3))
(-.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 0)
(/.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 1)
(pow.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 1)

Outputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 3 (.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1))))
(.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(*.f64 3 y)
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(*.f64 3 y)
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (-.f64 (.f64 1/9 (/.f64 1 x)) 1)) (*.f64 3 y))
(+.f64 (.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) -1)) (*.f64 3 y))
(.f64 3 (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 3 (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(/.f64 1/3 x)
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(*.f64 3 (-.f64 y 1))
(*.f64 3 (+.f64 y -1))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(*.f64 3 (-.f64 y 1))
(*.f64 3 (+.f64 y -1))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 3 (-.f64 y 1)) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 3 (+.f64 y -1)) (.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(+.f64 0 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3)) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(+.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 0)
(.f64 3 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(+.f64 0 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3))
(.f64 3 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(-.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 0)
(.f64 3 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(/.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 1)
(.f64 3 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)))
(pow.f64 (.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) 3) 1)
(.f64 3 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)))

eval48.0ms (0.7%)

Compiler: Compiled 2772 to 2006 computations (27.6% saved)

prune208.0ms (2.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	177	8	185
Fresh	2	3	5
Picked	1	0	1
Done	2	3	5
Total	182	14	196

Error

0.1b

Counts

196 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	21.8b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
✓	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
✓	26.0b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
	38.4b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
	0.6b	(.f64 (sqrt.f64 x) (+.f64 (.f64 3 (-.f64 y 1)) (*.f64 1/3 (/.f64 1 x))))
▶	26.3b	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
	21.7b	(.f64 (sqrt.f64 x) (.f64 3 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1)))
▶	41.8b	(.f64 (sqrt.f64 x) (.f64 3 y))
	41.5b	(.f64 y (.f64 3 (sqrt.f64 x)))
▶	21.8b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
▶	0.4b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
✓	41.5b	(.f64 3 (.f64 (sqrt.f64 x) y))
▶	47.2b	(*.f64 -3 (sqrt.f64 x))

Compiler

Compiled 318 to 259 computations (18.6% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
✓	0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
	0.4b	(/.f64 1/9 x)

Compiler

Compiled 44 to 29 computations (34.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
0.0ms	x	@	-inf	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
0.0ms	x	@	0	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))

rewrite15.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`rational_best-simplify-2`
38×	`rational_best-simplify-1`
30×	`rational_best-4`
30×	`rational_best-2`
30×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	95	64
2	146	64
3	167	64
4	171	64

Stop Event

1×

saturated

Counts

2 → 10

Calls

Call 1

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

Outputs

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

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

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

56×	`rational_best-simplify-2`
32×	`rational_best-simplify-1`
20×	`rational_best-simplify-44`
14×	`rational_best-simplify-51`
14×	`rational_best-simplify-6`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	1358
1	59	1124
2	92	1124
3	108	1124
4	124	1124
5	127	1124

Stop Event

1×

saturated

Counts

34 → 32

Calls

Call 1

Inputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 0)
(+.f64 0 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))))
(-.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 0)
(/.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 1)
(pow.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 1)
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 0)
(+.f64 0 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(-.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 0)
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 1)
(pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 1)

Outputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 3 (.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (*.f64 1/9 (/.f64 1 x)) -1))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (*.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (+.f64 y (+.f64 (.f64 1/9 (/.f64 1 x)) -1)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/9 (/.f64 1 x)) (+.f64 y -1)))
(+.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 0)
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 -1 (/.f64 1/9 x))) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) (.f64 3 (sqrt.f64 x)))
(+.f64 0 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))))
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 -1 (/.f64 1/9 x))) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) (.f64 3 (sqrt.f64 x)))
(-.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 0)
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 -1 (/.f64 1/9 x))) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) (.f64 3 (sqrt.f64 x)))
(/.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 1)
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 -1 (/.f64 1/9 x))) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) (.f64 3 (sqrt.f64 x)))
(pow.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x))) 1)
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 -1 (/.f64 1/9 x))) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) (.f64 3 (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 0)
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x))))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(+.f64 0 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x))))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(-.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 0)
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x))))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 1)
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x))))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 1)
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 -1 (/.f64 1/9 x))))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -3 (sqrt.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite12.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

14×	`rational_best-simplify-2`
12×	`rational_best-4`
12×	`rational_best-2`
12×	`rational_best-3`
12×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	67	11
3	68	11

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(*.f64 -3 (sqrt.f64 x))

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
4×	`rational_best-simplify-6`
2×	`rational_best-simplify-4`
2×	`rational_best-simplify-3`
2×	`exponential-simplify-11`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	16	55
2	21	55
3	22	55

Stop Event

1×

saturated

Counts

5 → 6

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (sqrt.f64 x) (.f64 3 y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite13.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`rational_best-simplify-2`
20×	`rational_best-4`
20×	`rational_best-2`
20×	`rational_best-3`
20×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	60	17
2	95	17
3	105	17
4	107	17

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(.f64 (sqrt.f64 x) (.f64 3 y))

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`rational_best-simplify-2`
12×	`rational_best-simplify-6`
10×	`rational_best-simplify-47`
4×	`rational_best-simplify-44`
2×	`rational_best-simplify-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	289
1	26	289
2	39	289
3	44	289
4	45	289

Stop Event

1×

saturated

Counts

17 → 7

Calls

Call 1

Inputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 0)
(+.f64 0 (.f64 (sqrt.f64 x) (.f64 3 y)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 0)
(/.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 1)
(pow.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 1)

Outputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 0)
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 0 (.f64 (sqrt.f64 x) (.f64 3 y)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 0)
(.f64 y (.f64 3 (sqrt.f64 x)))
(/.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 1)
(.f64 y (.f64 3 (sqrt.f64 x)))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) 1)
(.f64 y (.f64 3 (sqrt.f64 x)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -3 (*.f64 3 y))
✓	0.6b	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite14.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

22×	`rational_best-simplify-2`
20×	`rational_best-simplify-1`
18×	`rational_best-4`
18×	`rational_best-2`
18×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	71	36
2	99	36
3	101	36

Stop Event

1×

saturated

Counts

2 → 10

Calls

Call 1

Inputs
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 -3 (*.f64 3 y))

Outputs

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

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

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

70×	`rational_best-simplify-2`
36×	`rational_best-simplify-44`
16×	`rational_best-simplify-1`
14×	`rational_best-simplify-5`
12×	`rational_best-simplify-6`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	704
1	39	704
2	50	564
3	56	564
4	62	564
5	76	564
6	97	564
7	121	564
8	125	564

Stop Event

1×

saturated

Counts

34 → 22

Calls

Call 1

Inputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
-3
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(+.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 0)
(+.f64 0 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 0)
(/.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 1)
(pow.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 1)
(-.f64 (+.f64 -3 (*.f64 3 y)) 0)
(.f64 (+.f64 -3 (.f64 3 y)) 1)
(.f64 1 (+.f64 -3 (.f64 3 y)))
(/.f64 (+.f64 -3 (*.f64 3 y)) 1)
(pow.f64 (+.f64 -3 (*.f64 3 y)) 1)

Outputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
-3
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(+.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 0)
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(+.f64 0 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 0)
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(/.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 1)
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(pow.f64 (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))) 1)
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(-.f64 (+.f64 -3 (*.f64 3 y)) 0)
(+.f64 -3 (*.f64 3 y))
(.f64 (+.f64 -3 (.f64 3 y)) 1)
(+.f64 -3 (*.f64 3 y))
(.f64 1 (+.f64 -3 (.f64 3 y)))
(+.f64 -3 (*.f64 3 y))
(/.f64 (+.f64 -3 (*.f64 3 y)) 1)
(+.f64 -3 (*.f64 3 y))
(pow.f64 (+.f64 -3 (*.f64 3 y)) 1)
(+.f64 -3 (*.f64 3 y))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
✓	0.3b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
	0.4b	(*.f64 1/9 (/.f64 1 x))

Compiler

Compiled 45 to 34 computations (24.4% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite15.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

38×	`rational_best-simplify-2`
26×	`rational_best-simplify-1`
24×	`rational_best-4`
24×	`rational_best-2`
24×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	86	64
2	126	64
3	138	64
4	140	64

Stop Event

1×

saturated

Counts

2 → 10

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`rational_best-simplify-2`
16×	`rational_best-simplify-6`
12×	`rational_best-simplify-47`
6×	`rational_best-simplify-1`
6×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	320
1	36	320
2	54	320
3	61	320
4	66	320
5	68	320

Stop Event

1×

saturated

Counts

10 → 12

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))))
(-.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 0)
(/.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 1)
(pow.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 1)
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 0)
(+.f64 0 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)))
(-.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 0)
(/.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 1)
(pow.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 1)

Outputs
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 0)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(+.f64 0 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))))
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(-.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 0)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(/.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 1)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(pow.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x))) 1)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 0)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))
(+.f64 0 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)))
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))
(-.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 0)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))
(/.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 1)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))
(pow.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x)) 1)
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))

eval21.0ms (0.3%)

Compiler: Compiled 1029 to 707 computations (31.3% saved)

prune21.0ms (0.3%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	6	6
Picked	0	1	1
Done	0	7	7
Total	91	15	106

Error

0.1b

Counts

106 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.8b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
✓	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶	0.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
✓	26.0b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
▶	38.4b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
	0.6b	(.f64 (sqrt.f64 x) (+.f64 (.f64 3 (-.f64 y 1)) (*.f64 1/3 (/.f64 1 x))))
✓	26.3b	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
	21.7b	(.f64 (sqrt.f64 x) (.f64 3 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1)))
✓	41.8b	(.f64 (sqrt.f64 x) (.f64 3 y))
▶	41.5b	(.f64 y (.f64 3 (sqrt.f64 x)))
▶	21.7b	(.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
✓	21.8b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
✓	0.4b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
✓	41.5b	(.f64 3 (.f64 (sqrt.f64 x) y))
✓	47.2b	(*.f64 -3 (sqrt.f64 x))

Compiler

Compiled 290 to 237 computations (18.3% saved)

localize138.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
✓	0.3b	(+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2))
	0.3b	(/.f64 1 (*.f64 x 9))
✓	0.9b	(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))

Compiler

Compiled 149 to 121 computations (18.8% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))
2.0ms	y	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
0.0ms	y	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
0.0ms	y	@	-inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
0.0ms	x	@	-inf	(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))

rewrite204.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational_best-1`
1250×	`rational_best-2`
1248×	`rational_best-4`
1248×	`rational_best-3`
1156×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	187
1	136	133
2	192	73
3	267	73
4	426	73
5	779	73
6	1884	73
7	3731	73
8	5511	73
9	6284	73
10	6562	73
11	6855	73
12	7404	73

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(-.f64 (*.f64 (/.f64 1 (*.f64 x 9)) 4) (+.f64 (/.f64 1 (*.f64 x 9)) (*.f64 (/.f64 1 (*.f64 x 9)) 2)))

(+.f64 (/.f64 1 (*.f64 x 9)) (*.f64 (/.f64 1 (*.f64 x 9)) 2))

(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (*.f64 (/.f64 1 (*.f64 x 9)) 4) (+.f64 (/.f64 1 (*.f64 x 9)) (*.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))

Outputs

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-1 (*.f64 x 9)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -8) (-.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -2) (*.f64 9 (/.f64 1 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 x 9)) 7) (*.f64 (/.f64 1 (*.f64 x 9)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -5) (*.f64 (/.f64 1 (*.f64 x 9)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -6) (+.f64 (/.f64 1 (*.f64 x 9)) (*.f64 (/.f64 1 (*.f64 x 9)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -6) (*.f64 (/.f64 -1 (*.f64 x 9)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 -1 (*.f64 x 9))) (*.f64 (/.f64 1 (*.f64 x 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 x 9)) -4) (*.f64 (/.f64 -1 (*.f64 x 9)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) 8) (*.f64 9 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(*.f64 (/.f64 1 (*.f64 x 9)) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) 12) (*.f64 2 (/.f64 -1 (*.f64 x 9)))) (+.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -5) (*.f64 (/.f64 -1 (*.f64 x 9)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -2) (*.f64 9 (/.f64 1 (*.f64 x 9)))) (*.f64 (/.f64 -1 (*.f64 x 9)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -2) (*.f64 (/.f64 -1 (*.f64 x 9)) 14)) (*.f64 (/.f64 -1 (*.f64 x 9)) 15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -2) (*.f64 (/.f64 -1 (*.f64 x 9)) 14)) (+.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) 8) (*.f64 (/.f64 -1 (*.f64 x 9)) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 x 9)) -2) (*.f64 2 (*.f64 (/.f64 1 (*.f64 x 9)) 16))) (+.f64 (*.f64 (/.f64 1 (*.f64 x 9)) 16) (*.f64 (/.f64 -1 (*.f64 x 9)) -15)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 -1 (*.f64 x 9)) -15))) (+.f64 (*.f64 (/.f64 1 (*.f64 x 9)) 16) (*.f64 (/.f64 -1 (*.f64 x 9)) -15)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (*.f64 x 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 x 9)))))))

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

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

simplify268.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational_best-simplify-50`
1166×	`rational_best-simplify-2`
1028×	`rational_best-simplify-1`
1018×	`rational_best-simplify-55`
828×	`rational_best-simplify-54`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	195	2363
1	303	2309
2	525	2039
3	1089	2039
4	1690	2039
5	2307	2039
6	3436	2039
7	5605	1955
8	6906	1955
9	7307	1955
10	7391	1955
11	7865	1955
12	7882	1955

Stop Event

1×	node limit

Counts

129 → 116

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 1/3 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 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (/.f64 1 (*.f64 x 9)) 0)
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (.f64 3 (/.f64 -1 (.f64 x 9))))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) (.f64 (/.f64 1 (.f64 x 9)) -6)))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) -5)))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (/.f64 -1 (*.f64 x 9)))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) (.f64 2 (/.f64 -1 (.f64 x 9))))
(+.f64 0 (/.f64 1 (*.f64 x 9)))
(+.f64 (/.f64 -1 (.f64 x 9)) (.f64 (/.f64 -1 (*.f64 x 9)) -2))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -8) (.f64 (/.f64 -1 (.f64 x 9)) 7))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -8) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 9 (/.f64 1 (.f64 x 9)))))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 7) (.f64 (/.f64 1 (.f64 x 9)) -6))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -5) (.f64 (/.f64 1 (.f64 x 9)) -4))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -6) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) -6)))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -6) (.f64 (/.f64 -1 (.f64 x 9)) 5))
(+.f64 (.f64 3 (/.f64 -1 (.f64 x 9))) (.f64 (/.f64 1 (.f64 x 9)) 4))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) -4) (.f64 (/.f64 -1 (.f64 x 9)) -5))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 8) (.f64 9 (/.f64 1 (.f64 x 9))))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) -6) (.f64 (/.f64 1 (.f64 x 9)) 7))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 7) (.f64 (/.f64 -1 (.f64 x 9)) -8))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 16) (.f64 (/.f64 -1 (.f64 x 9)) 15))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 16) (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 8) (.f64 (/.f64 -1 (.f64 x 9)) 7)))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -15) (.f64 (/.f64 -1 (.f64 x 9)) 14))
(+.f64 (.f64 2 (/.f64 -1 (.f64 x 9))) (.f64 (/.f64 1 (.f64 x 9)) 3))
(+.f64 (.f64 2 (/.f64 -1 (.f64 x 9))) (-.f64 (/.f64 1 (.f64 x 9)) (.f64 2 (/.f64 -1 (*.f64 x 9)))))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 10) (+.f64 (.f64 3 (/.f64 -1 (.f64 x 9))) (.f64 (/.f64 1 (.f64 x 9)) -6)))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 10) (.f64 9 (/.f64 -1 (.f64 x 9))))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 13) (.f64 (/.f64 -1 (.f64 x 9)) 12))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) -16) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 15)))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 15) (.f64 (/.f64 1 (.f64 x 9)) 16))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 15) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 14)))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -14) (.f64 (/.f64 -1 (.f64 x 9)) 13))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -14) (+.f64 (.f64 (/.f64 1 (.f64 x 9)) -6) (.f64 (/.f64 -1 (.f64 x 9)) 7)))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -14) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) -15)))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) 12) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 1 (.f64 x 9)) 13)))
(+.f64 (.f64 9 (/.f64 1 (.f64 x 9))) (.f64 (/.f64 -1 (.f64 x 9)) 8))
(+.f64 (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -5) (.f64 (/.f64 -1 (.f64 x 9)) -6)) (.f64 (/.f64 1 (.f64 x 9)) -10))
(+.f64 (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -5) (.f64 (/.f64 -1 (.f64 x 9)) -6)) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) 12) (.f64 2 (/.f64 -1 (.f64 x 9)))))
(+.f64 (+.f64 (.f64 3 (/.f64 -1 (.f64 x 9))) (.f64 (/.f64 1 (.f64 x 9)) -6)) (.f64 (/.f64 1 (.f64 x 9)) 10))
(+.f64 (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (.f64 x 9)) -6)) (.f64 (/.f64 -1 (*.f64 x 9)) -6))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) (.f64 (/.f64 1 (.f64 x 9)) -6)) (.f64 (/.f64 1 (.f64 x 9)) 4))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 14) (.f64 (/.f64 -1 (.f64 x 9)) -15))
(+.f64 (.f64 (/.f64 1 (.f64 x 9)) -10) (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -5) (.f64 (/.f64 -1 (.f64 x 9)) -6)))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 12) (.f64 (/.f64 1 (.f64 x 9)) 13))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 5) (.f64 (/.f64 -1 (.f64 x 9)) -6))
(+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 13) (.f64 (/.f64 -1 (.f64 x 9)) -14))
(+.f64 (.f64 9 (/.f64 -1 (.f64 x 9))) (.f64 (/.f64 1 (.f64 x 9)) 10))
(+.f64 (.f64 9 (/.f64 -1 (.f64 x 9))) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 8)))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 16) (.f64 (/.f64 -1 (.f64 x 9)) -15)) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 2 (.f64 (/.f64 1 (*.f64 x 9)) 16))))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 16) (.f64 (/.f64 -1 (.f64 x 9)) -15)) (neg.f64 (.f64 2 (.f64 (/.f64 -1 (*.f64 x 9)) -15))))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 x 9)) -6) (.f64 (/.f64 -1 (.f64 x 9)) 7)) (.f64 (/.f64 -1 (.f64 x 9)) -14))
(+.f64 (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 8) (.f64 (/.f64 -1 (.f64 x 9)) 7)) (.f64 (/.f64 1 (.f64 x 9)) 16))
(+.f64 (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 8) (.f64 (/.f64 -1 (.f64 x 9)) 7)) (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 14)))
(+.f64 (-.f64 (/.f64 1 (.f64 x 9)) (.f64 2 (/.f64 -1 (.f64 x 9)))) (.f64 2 (/.f64 -1 (*.f64 x 9))))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) -5)) (.f64 (/.f64 1 (.f64 x 9)) 4))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 8)) (.f64 9 (/.f64 -1 (.f64 x 9))))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) -15)) (.f64 (/.f64 -1 (.f64 x 9)) -14))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 1 (.f64 x 9)) 13)) (.f64 (/.f64 1 (.f64 x 9)) 12))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 15)) (.f64 (/.f64 1 (.f64 x 9)) -16))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) 12) (.f64 2 (/.f64 -1 (.f64 x 9)))) (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) -5) (.f64 (/.f64 -1 (.f64 x 9)) -6)))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 9 (/.f64 1 (.f64 x 9)))) (.f64 (/.f64 -1 (.f64 x 9)) -8))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 14)) (.f64 (/.f64 -1 (.f64 x 9)) 15))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 (/.f64 -1 (.f64 x 9)) 14)) (+.f64 (.f64 (/.f64 -1 (.f64 x 9)) 8) (.f64 (/.f64 -1 (.f64 x 9)) 7)))
(+.f64 (-.f64 (.f64 (/.f64 -1 (.f64 x 9)) -2) (.f64 2 (.f64 (/.f64 1 (.f64 x 9)) 16))) (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 16) (.f64 (/.f64 -1 (*.f64 x 9)) -15)))
(+.f64 (neg.f64 (.f64 2 (.f64 (/.f64 -1 (.f64 x 9)) -15))) (+.f64 (.f64 (/.f64 1 (.f64 x 9)) 16) (.f64 (/.f64 -1 (*.f64 x 9)) -15)))
(.f64 1 (/.f64 1 (.f64 x 9)))
(.f64 (/.f64 1 (.f64 x 9)) 1)
(.f64 -1 (/.f64 -1 (.f64 x 9)))
(.f64 (/.f64 -1 (.f64 x 9)) -1)
(/.f64 1 (*.f64 x 9))
(/.f64 (/.f64 1 (*.f64 x 9)) 1)
(/.f64 -1 (*.f64 x -9))
(/.f64 (/.f64 -1 (*.f64 x 9)) -1)
(pow.f64 (/.f64 1 (*.f64 x 9)) 1)
(neg.f64 (/.f64 -1 (*.f64 x 9)))
(-.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) 0)
(-.f64 0 (.f64 3 (/.f64 -1 (.f64 x 9))))
(.f64 1 (.f64 (/.f64 1 (*.f64 x 9)) 3))
(.f64 (/.f64 1 (.f64 x 9)) 3)
(.f64 (.f64 (/.f64 1 (*.f64 x 9)) 3) 1)
(.f64 3 (/.f64 1 (.f64 x 9)))
(.f64 -1 (.f64 3 (/.f64 -1 (*.f64 x 9))))
(.f64 (/.f64 -1 (.f64 x 9)) -3)
(.f64 (.f64 3 (/.f64 -1 (*.f64 x 9))) -1)
(.f64 -3 (/.f64 -1 (.f64 x 9)))
(/.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) 1)
(/.f64 (.f64 3 (/.f64 -1 (.f64 x 9))) -1)
(pow.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) 1)
(neg.f64 (.f64 3 (/.f64 -1 (.f64 x 9))))
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 0)
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 0)
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 1)
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 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 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 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x)))
(.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 -1 (-.f64 (.f64 4/9 (/.f64 1 x)) (.f64 1/3 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (-.f64 -1 (*.f64 (/.f64 1 x) -1/9)) (sqrt.f64 x)))
(.f64 (+.f64 -1 (.f64 1/9 (/.f64 1 x))) (*.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 3 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x))) (.f64 3 (.f64 (sqrt.f64 x) y)))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 -1 (-.f64 (.f64 4/9 (/.f64 1 x)) (*.f64 1/3 (/.f64 1 x)))) (sqrt.f64 x))))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (-.f64 -1 (*.f64 (/.f64 1 x) -1/9)) y))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (-.f64 -1 (*.f64 (/.f64 1 x) -1/9)) y)))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (+.f64 -1 (*.f64 1/9 (/.f64 1 x))) y))
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(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(.f64 (/.f64 -1 (.f64 x 9)) -3)
(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(.f64 (.f64 3 (/.f64 -1 (*.f64 x 9))) -1)
(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(.f64 -3 (/.f64 -1 (.f64 x 9)))
(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(/.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) 1)
(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(/.f64 (.f64 3 (/.f64 -1 (.f64 x 9))) -1)
(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(pow.f64 (.f64 (/.f64 1 (.f64 x 9)) 3) 1)
(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(neg.f64 (.f64 3 (/.f64 -1 (.f64 x 9))))
(.f64 3 (/.f64 1 (.f64 x 9)))
(/.f64 3 (*.f64 x 9))
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 -1 (/.f64 1 (*.f64 x 9))))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) (*.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 -1 (/.f64 1 (*.f64 x 9))))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) (*.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 -1 (/.f64 1 (*.f64 x 9))))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) (*.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 -1 (/.f64 1 (*.f64 x 9))))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) (*.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1)))) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 y (+.f64 -1 (/.f64 1 (*.f64 x 9))))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1))))
(.f64 (+.f64 y (+.f64 (/.f64 1 (.f64 x 9)) -1)) (*.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))

localize61.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 y (.f64 3 (sqrt.f64 x)))
	0.3b	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite17.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`rational_best-simplify-2`
20×	`rational_best-4`
20×	`rational_best-2`
20×	`rational_best-3`
20×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	60	17
2	95	17
3	105	17
4	107	17

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(.f64 y (.f64 3 (sqrt.f64 x)))

Outputs

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`rational_best-simplify-2`
14×	`rational_best-simplify-47`
12×	`rational_best-simplify-6`
6×	`rational_best-simplify-44`
2×	`rational_best-simplify-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	289
1	24	289
2	37	289
3	45	289
4	50	289
5	51	289

Stop Event

1×

saturated

Counts

17 → 6

Calls

Call 1

Inputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 0)
(+.f64 0 (.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 0)
(/.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 1)
(pow.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 1)

Outputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 0)
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 0 (.f64 y (.f64 3 (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(-.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 0)
(.f64 3 (.f64 y (sqrt.f64 x)))
(/.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 1)
(.f64 3 (.f64 y (sqrt.f64 x)))
(pow.f64 (.f64 y (.f64 3 (sqrt.f64 x))) 1)
(.f64 3 (.f64 y (sqrt.f64 x)))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series162.0ms (2.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
160.0ms	x	@	0	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
0.0ms	x	@	0	(/.f64 1/3 x)
0.0ms	x	@	-inf	(/.f64 1/3 x)

rewrite12.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

16×	`rational_best-simplify-2`
14×	`rational_best-4`
14×	`rational_best-2`
14×	`rational_best-3`
14×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	24
2	75	24

Stop Event

1×

saturated

Counts

2 → 11

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`rational_best-simplify-2`
8×	`rational_best-simplify-44`
6×	`rational_best-simplify-5`
6×	`rational_best-simplify-6`
4×	`rational_best-simplify-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	127
1	24	127
2	37	127
3	44	127
4	46	127

Stop Event

1×

saturated

Counts

11 → 13

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))
✓	0.3b	(.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
	0.4b	(/.f64 1/9 x)

Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite14.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`rational_best-simplify-2`
24×	`rational_best-simplify-1`
22×	`rational_best-4`
22×	`rational_best-2`
22×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	79	52
2	117	52
3	128	52
4	130	52

Stop Event

1×

saturated

Counts

2 → 10

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`rational_best-simplify-2`
14×	`rational_best-simplify-6`
10×	`rational_best-simplify-47`
6×	`rational_best-simplify-1`
6×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	260
1	34	260
2	52	260
3	59	260
4	62	260
5	63	260

Stop Event

1×

saturated

Counts

10 → 12

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 0)
(+.f64 0 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))))
(-.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 0)
(/.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 1)
(pow.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 1)
(+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 0)
(+.f64 0 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 0)
(/.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 1)
(pow.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 1)

Outputs
(+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 0)
(.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x)))
(+.f64 0 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))))
(.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x)))
(-.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 0)
(.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x)))
(/.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 1)
(.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x)))
(pow.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))) 1)
(.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x)))
(+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 0)
(*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))
(+.f64 0 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))
(-.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 0)
(*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 1)
(*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))
(pow.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) 1)
(*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))

localize88.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
	0.3b	(*.f64 3 (sqrt.f64 x))
	0.4b	(/.f64 1/9 x)

Compiler

Compiled 30 to 21 computations (30% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite14.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`rational_best-simplify-2`
24×	`rational_best-simplify-1`
22×	`rational_best-4`
22×	`rational_best-2`
22×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	77	29
2	110	29
3	126	29
4	130	29

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`rational_best-simplify-2`
14×	`rational_best-simplify-6`
12×	`rational_best-simplify-47`
4×	`rational_best-simplify-1`
4×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	145
1	26	145
2	37	145
3	46	145
4	54	145
5	58	145
6	59	145

Stop Event

1×

saturated

Counts

5 → 6

Calls

Call 1

Inputs
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 0)
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 0)
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 1)
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 1)

Outputs
(+.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1)))
(+.f64 0 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1)))
(-.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 0)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1)))
(/.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1)))
(pow.f64 (.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) 1)
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1)))

eval334.0ms (4.6%)

Compiler: Compiled 9120 to 7356 computations (19.3% saved)

prune218.0ms (3%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	322	5	327
Fresh	1	1	2
Picked	0	1	1
Done	3	9	12
Total	326	16	342

Error

0.1b

Counts

342 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	22.0b	(.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
	21.8b	(.f64 (+.f64 -1 (.f64 1/9 (/.f64 1 x))) (*.f64 3 (sqrt.f64 x)))
✓	21.8b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
	0.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (.f64 (/.f64 1 (.f64 x 9)) 3))) 1))
✓	26.0b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
✓	38.4b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
	0.6b	(.f64 (sqrt.f64 x) (+.f64 (.f64 3 (-.f64 y 1)) (*.f64 1/3 (/.f64 1 x))))
✓	26.3b	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
	21.7b	(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1)))
✓	41.8b	(.f64 (sqrt.f64 x) (.f64 3 y))
✓	41.5b	(.f64 y (.f64 3 (sqrt.f64 x)))
✓	21.7b	(.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
	0.4b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
✓	0.4b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
✓	41.5b	(.f64 3 (.f64 (sqrt.f64 x) y))
✓	47.2b	(*.f64 -3 (sqrt.f64 x))

Compiler

Compiled 200 to 163 computations (18.5% saved)

regimes45.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 -3 (sqrt.f64 x))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1/9 x)) 1))
(.f64 (+.f64 -1 (.f64 1/9 (/.f64 1 x))) (*.f64 3 (sqrt.f64 x)))
(.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (*.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) -1) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 (sqrt.f64 x) (.f64 (+.f64 y (+.f64 (/.f64 1 (*.f64 x 9)) -1)) 3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 3 (-.f64 y 1)) (*.f64 1/3 (/.f64 1 x))))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (-.f64 (.f64 4/9 (/.f64 1 x)) (+.f64 1 (.f64 1/3 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (.f64 (/.f64 1 (.f64 x 9)) 3))) 1))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (-.f64 (.f64 (/.f64 1 (.f64 x 9)) 4) (+.f64 (/.f64 1 (.f64 x 9)) (.f64 (/.f64 1 (*.f64 x 9)) 2)))) 1))
(.f64 3 (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) -1) (sqrt.f64 x))))

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

Calls

3 calls:

13.0ms	y
13.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
12.0ms	x

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))`

Compiler

Compiled 329 to 234 computations (28.9% saved)

regimes23.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
9.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`

Compiler

Compiled 168 to 114 computations (32.1% saved)

regimes64.0ms (0.9%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	x
22.0ms	y

Results

Error	Segments	Branch
6.8b	6	`x`
8.6b	3	`y`

Compiler

Compiled 82 to 52 computations (36.6% saved)

bsearch79.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
11.0ms	150.59389493934944	482.09994754253023
21.0ms	1.0449797677619131e-52	1.5201960098648577e-47
10.0ms	1.2679171429504912e-64	4.113685480292398e-64
17.0ms	3.4673690012468283e-112	1.151771834501555e-110
20.0ms	2.5957876937871343e-139	2.7988886993047416e-136

Results

70.0ms

544×

body

256

valid

Compiler

Compiled 779 to 639 computations (18% saved)

regimes54.0ms (0.7%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
21.0ms	y

Results

Error	Segments	Branch
6.8b	6	`x`
8.6b	3	`y`

Compiler

Compiled 62 to 38 computations (38.7% saved)

bsearch71.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
11.0ms	150.59389493934944	482.09994754253023
19.0ms	1.0449797677619131e-52	1.5201960098648577e-47
10.0ms	1.2679171429504912e-64	4.113685480292398e-64
14.0ms	3.4673690012468283e-112	1.151771834501555e-110
17.0ms	2.5957876937871343e-139	2.7988886993047416e-136

Results

62.0ms

544×

body

256

valid

Compiler

Compiled 747 to 607 computations (18.7% saved)

regimes67.0ms (0.9%)

Counts

7 → 6

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	y
29.0ms	x

Results

Error	Segments	Branch
7.1b	6	`x`
21.5b	5	`y`

Compiler

Compiled 52 to 31 computations (40.4% saved)

bsearch70.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
11.0ms	9.02967015765815e-12	2.7167354172075994e-11
19.0ms	1.0449797677619131e-52	1.5201960098648577e-47
10.0ms	1.2679171429504912e-64	4.113685480292398e-64
14.0ms	3.4673690012468283e-112	1.151771834501555e-110
16.0ms	2.5957876937871343e-139	2.7988886993047416e-136

Results

63.0ms

544×

body

256

valid

Compiler

Compiled 643 to 503 computations (21.8% saved)

regimes76.0ms (1%)

Counts

5 → 9

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	x
33.0ms	y

Results

Error	Segments	Branch
16.5b	9	`x`
20.6b	7	`y`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch217.0ms (3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
117.0ms	1.0153072407306852e+245	5.7184829838384856e+246
16.0ms	1.083447578749193e+231	6.124803061904682e+232
14.0ms	4.9585870954953556e+106	5.4853798916623865e+107
10.0ms	9.02967015765815e-12	2.7167354172075994e-11
18.0ms	1.0449797677619131e-52	1.5201960098648577e-47
10.0ms	1.2679171429504912e-64	4.113685480292398e-64
16.0ms	3.4673690012468283e-112	1.151771834501555e-110
16.0ms	2.5957876937871343e-139	2.7988886993047416e-136

Results

201.0ms	864×	body	256	valid
4.0ms	42×	body	256	infinite

Compiler

Compiled 953 to 753 computations (21% saved)

regimes102.0ms (1.4%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 x) (.f64 3 y))
(*.f64 -3 (sqrt.f64 x))
(.f64 3 (.f64 (sqrt.f64 x) y))

Calls

2 calls:

86.0ms	y
15.0ms	x

Results

Error	Segments	Branch
35.3b	4	`x`
26.6b	3	`y`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	6.910086503531403e-10	6.3165949042149546e-9
19.0ms	-0.002740400114383509	-1.305984664914826e-8

Results

28.0ms

240×

body

256

valid

Compiler

Compiled 261 to 212 computations (18.8% saved)

regimes25.0ms (0.3%)

Accuracy

Total -35.7b remaining (-134.4%)

Threshold costs -35.7b (-134.4%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(.f64 3 (.f64 (sqrt.f64 x) y))
(*.f64 -3 (sqrt.f64 x))
(.f64 3 (.f64 (sqrt.f64 x) y))

Calls

2 calls:

13.0ms	x
11.0ms	y

Results

Error	Segments	Branch
35.3b	4	`x`
26.6b	3	`y`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	6.910086503531403e-10	6.3165949042149546e-9
20.0ms	-0.002740400114383509	-1.305984664914826e-8

Results

30.0ms

240×

body

256

valid

Compiler

Compiled 261 to 212 computations (18.8% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	945

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1))) (if (<=.f64 x 974766689339349/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 5483913346279295/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1))) (if (<=.f64 x 8214358750147461/210624583337114373395836055367340864637790190801098222508621955072) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 155) (.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))))))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 7581518694861603/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (if (<=.f64 x 1010998000018149/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 180) (.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y))))))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 7581518694861603/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 6224982717398119/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 8635607916821689/210624583337114373395836055367340864637790190801098222508621955072) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 3249592603124123/309485009821345068724781056) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y))))))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 7581518694861603/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 6034957691516229/309485009821345068724781056) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 111999999999999997159001645100553769053518441639634263671911403136226108356636066636086498607111136960577536) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 54999999999999999658864941689904216110779321364747088353460390850354890457423428210282782247285411483474748099234132519195570465868424052847368688527722688128643428622306793763365647983805068359689216989721860439067356220734549524480) (.f64 -3 (sqrt.f64 x)) (if (<=.f64 x 101999999999999997001442069695955482642568148700562229176260251178583536419487980908091559857835435061107738342577721238867472906707137018972732922561558182733697896925585927432185838349248083245871485535732440027050682150220713528243639428317184) (.f64 3 (.f64 (sqrt.f64 x) y)) (*.f64 -3 (sqrt.f64 x))))))))))
(if (<=.f64 y -3112888062438487/1152921504606846976) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 y 7495340081610701/1208925819614629174706176) (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y -3112888062438487/1152921504606846976) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 7495340081610701/1208925819614629174706176) (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y))))
(*.f64 -3 (sqrt.f64 x))

Outputs
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1 (*.f64 x 9)) (+.f64 y -1))))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1))) (if (<=.f64 x 974766689339349/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 5483913346279295/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) -1))) (if (<=.f64 x 8214358750147461/210624583337114373395836055367340864637790190801098222508621955072) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 155) (.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y))))))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 7581518694861603/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (if (<=.f64 x 1010998000018149/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 180) (.f64 3 (.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y))))))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 7581518694861603/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 6224982717398119/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 8635607916821689/210624583337114373395836055367340864637790190801098222508621955072) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 3249592603124123/309485009821345068724781056) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y))))))))
(if (<=.f64 x 900182417171439/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 7581518694861603/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 x 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 6034957691516229/309485009821345068724781056) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 111999999999999997159001645100553769053518441639634263671911403136226108356636066636086498607111136960577536) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 x 54999999999999999658864941689904216110779321364747088353460390850354890457423428210282782247285411483474748099234132519195570465868424052847368688527722688128643428622306793763365647983805068359689216989721860439067356220734549524480) (.f64 -3 (sqrt.f64 x)) (if (<=.f64 x 101999999999999997001442069695955482642568148700562229176260251178583536419487980908091559857835435061107738342577721238867472906707137018972732922561558182733697896925585927432185838349248083245871485535732440027050682150220713528243639428317184) (.f64 3 (.f64 (sqrt.f64 x) y)) (*.f64 -3 (sqrt.f64 x))))))))))
(if (<=.f64 y -3112888062438487/1152921504606846976) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 y 7495340081610701/1208925819614629174706176) (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y -3112888062438487/1152921504606846976) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 7495340081610701/1208925819614629174706176) (.f64 -3 (sqrt.f64 x)) (.f64 3 (*.f64 (sqrt.f64 x) y))))
(*.f64 -3 (sqrt.f64 x))

Compiler

Compiled 372 to 246 computations (33.9% saved)

soundness286.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational_best-simplify-50`
1166×	`rational_best-simplify-2`
1028×	`rational_best-simplify-1`
1018×	`rational_best-simplify-55`
828×	`rational_best-simplify-54`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	195	2363
1	303	2309
2	525	2039
3	1089	2039
4	1690	2039
5	2307	2039
6	3436	2039
7	5605	1955
8	6906	1955
9	7307	1955
10	7391	1955
11	7865	1955
12	7882	1955

Stop Event

1×	node limit

Compiler

Compiled 32 to 25 computations (21.9% saved)

end342.0ms (4.7%)

Compiler: Compiled 356 to 217 computations (39% saved)